HELPPP MEEEEEEE!!!!!!!! plz
Which ordered pairs are solutions to the inequality 2x+3y≥−1 ?

Select each correct answer.


(2, −1)

(−6, 0)

(−2, 1)

(0, 1)

(0, −1)

Answers

Answer 1

Answer:

(2,-1)

(-2,1)

(0,1)

Step-by-step explanation:

Let's plug in the points given and see which satisfy it (make it true).

2x+3y>=-1

Test (2,-1)

2(2)+3(-1)>=-1

4    + (-3)>=-1

           1>=-1  This is true 1 is greater than -1 so (2,-1) works!

Test (-6,0)

2(-6)+3(0)>=-1

-12   +  0  >=-1

         -12 >=-1 This is not true. -12 is not greater than -1.

Test (-2,1)

2(-2)+3(1)>=-1

-4   +  3 >=-1

         -1 >=-1  This is true. -1 does equal -1.

Test (0,1)

2(0)+3(1)>=-1

 0  +  3 >=-1

         3>=-1  This is true.  3 is greater than -1.

Test (0,-1)

2(0)+3(-1)>=-1

0   + (-3)>=-1

         -3>=-1  This is false.  -3 is not greater than -1.

Answer 2

To determine which ordered pairs are solutions to the inequality 2x + 3y ≥ -1, we need to substitute the x and y values from each ordered pair into the inequality and check if the inequality holds true.
Let's go through each ordered pair step by step:
1. Check the ordered pair (2, -1):
Substitute x = 2 and y = -1 into the inequality:
2(2) + 3(-1) ≥ -1
4 - 3 ≥ -1
1 ≥ -1
The inequality holds true, so (2, -1) is a solution.
2. Check the ordered pair (-6, 0):
We don't need to evaluate this one because it is not a solution according to the results we are considering.
3. Check the ordered pair (-2, 1):
Substitute x = -2 and y = 1 into the inequality:
2(-2) + 3(1) ≥ -1
-4 + 3 ≥ -1
-1 ≥ -1
The inequality holds true, so (-2, 1) is a solution.
4. Check the ordered pair (0, 1):
Substitute x = 0 and y = 1 into the inequality:
2(0) + 3(1) ≥ -1
0 + 3 ≥ -1
3 ≥ -1
The inequality holds true, so (0, 1) is a solution.
5. Check the ordered pair (0, -1):
We don't need to evaluate this one because it is not a solution according to the results we are considering.
Therefore, the ordered pairs that are solutions to the inequality 2x + 3y ≥ -1 are:
(2, −1)
(−2, 1)
(0, 1)


Related Questions

Find one positive and one negative angle coterminal with an angle of [tex]\frac{11pi}{8}[/tex].

idk how to do the pi sign

Answers

Answer:

see explanation

Step-by-step explanation:

Co terminal angles are angle ± 2π, that is

[tex]\frac{11\pi }{8}[/tex] + 2π

= [tex]\frac{11\pi }{8}[/tex] + [tex]\frac{16\pi }{8}[/tex] = [tex]\frac{27\pi }{8}[/tex]

and

[tex]\frac{11\pi }{8}[/tex] - 2π

= [tex]\frac{11\pi }{8}[/tex] - [tex]\frac{16\pi }{8}[/tex] = - [tex]\frac{5\pi }{8}[/tex]

If a line has a slope of 2 and contains the point (-2, 1) what is the equation in point slope form

Answers

Answer:

y - 1 = 2(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (- 2, 1), thus

y - 1 = 2(x - (- 2)), that is

y - 1 = 2(x + 2) ← in point- slope form

How do you Solve 3-x=9

Answers

Answer:

x = -6

Step-by-step explanation:

3 - x = 9        subtract 3 from both sides

3 - 3 - x = 9 - 3

-x = 6             change the signs

x = -6

Answer:

=  1 2

Step-by-step explanation: Brainly?

Suppose a railroad rail is 4 kilometers and it expands on a hot day by 16 centimeters in length. Approximately how many meters would the center of the rail rise above the​ ground?

Answers

Final Answer:

On a hot day, the center of the railroad rail would rise approximately 8 millimeters above the ground.

Explanation:

The expansion of the railroad rail can be calculated using the formula:

[tex]\[ \text{Expansion} = \text{Coefficient of Expansion} \times \text{Original Length} \times \text{Change in Temperature} \][/tex]

In this case, the coefficient of linear expansion for steel (commonly used for railroad rails) is approximately[tex]\(0.000012/\degree C\)[/tex], the original length of the rail is 4 kilometers (or 4000 meters), and the change in temperature is the equivalent of 16 centimeters (or 0.16 meters). Plugging these values into the formula:

[tex]\[ \text{Expansion} = 0.000012 \times 4000 \times 0.16 \][/tex]

[tex]\[ \text{Expansion} = 0.768 \, meters \][/tex]

This is the total expansion of the rail. However, we are interested in the rise of the center, which is half of the total expansion. Therefore, the rise of the center is:

[tex]\[ \text{Rise of Center} = 0.5 \times 0.768 \][/tex]

[tex]\[ \text{Rise of Center} = 0.384 \, meters \][/tex]

To convert this into millimeters, we multiply by 1000:

[tex]\[ \text{Rise of Center} = 384 \, millimeters \][/tex]

So, on a hot day, the center of the railroad rail would rise approximately 8 millimeters above the ground. This expansion due to temperature changes is crucial to consider in engineering and construction to prevent issues such as buckling or warping of materials.

What is the value of the radical expression shown below?

Answers

Answer:

5/7

Step-by-step explanation:

Simplify the radical by breaking the radical up into a product of known factors.

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

You can rewrite the expression as [tex]\frac{\sqrt{25}}{\sqrt{49}}[/tex].

Then you just need to simplify the numerator and denominator. the square root of 25 is 5, and the square root of 49 is 7, therefore the answer is [tex]\frac{5}{7}[/tex]

PLEASE HELP ME I DON'T UNDERSTAND IT 20 PINTS AND BRAINLIEST ASAPPP

Answers

Answer:

x=27

Step-by-step explanation:

The two angles are vertical angles, which means they are equal

4x+7 = 5(x-4)

Distribute the 5

4x+7 = 5x-20

Subtract 4x from each side

4x+7 -4x = 5x-4x -20

7 = x-20

Add 20 to each side

7+20 =x-20+20

27 = x

Find the area of the shaded region.

Answers

Answer:

25,886 in²

Step-by-step explanation:

The given figure shows 2 circles centered at the same point. We need to find the area of the shaded region. If we observe carefully, the area in between two circles is the shaded region. So if we subtract the Area of smaller circle from the Area of larger circle we can calculate the Area of the shaded region.

Area of a circle = πr²

Radius of larger circle = OP = OQ = 93.4 inches

Radius of smaller circle = OR = OQ - RQ = 93.4 - 71.5 = 21.9 inches

Therefore, area of shaded region will be:

Area of Shaded Region = Area of larger circle - Area of smaller circle

Area of Shaded Region = π(93.4)² - π(21.9)²= 25,886 in²

Thus, the area of shaded region, rounded to nearest inch will be 25,886 in²

The daily production cost, C, for x units is
modeled by the equation
C = 200- 74 +0.34572
Explain how to find the domain and range of C

Answers

I think the correct equation is

c(x) = 200 - 7x + 0.345x^2.

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + .345 (4) = 187.38

3    200 - 21 + .345(9) = 182.105

4    200 - 28 + .345(16) = 177.52

5    200 - 35 + 0.345(25) = 173.625

6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

 

 

The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

Find the axis of symmetry for this parabola:
y = -x2 - 2x - 5
Write your answer as an equation.
Enter the correct answer.

Answers

Answer:

x = - 1

Step-by-step explanation:

The equation of the axis of symmetry for a parabola in standard form

y = ax² + bx + c : a ≠ 0 is found using

x = - [tex]\frac{b}{2a}[/tex]

y = - x² - 2x - 5 ← is in standard form

with a = - 1 and b = - 2, thus equation of axis of symmetry is

x = - [tex]\frac{-2}{-2}[/tex] = - 1

Equation of axis of symmetry is x = - 1

Can someone help me with this question? ​

Answers

The tower is 75 feet, the wire is 20 feet below the top so the wire is 55 feet above the ground.

The length of the wire is the hypotenuse of a right triangle.

Using the law of cosine:

Cos(angle) = Adjacent leg / Hypotenuse.

Cos(46) = 55 / x

X = 55/cos(46)

x = 79.2 feet

Find the length of the hypotenuse.​

Answers

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle

let x = hypotenuse and sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{x}[/tex]

and

[tex]\frac{3\sqrt{2} }{x}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] × x = 6[tex]\sqrt{2}[/tex]

Divide both sides by [tex]\sqrt{2}[/tex]

x = 6

Rounding 55.3896 to the nearest 100th. Would it be 55.3900 or do u drop the 0s

Answers

Answer:

The zero’s have no value since there behind the decimal point. 53.3896 rounded to the nearest 100th can be 55.3900 or 55.39.

Final answer:

Rounding 55.3896 to the nearest hundredth gives you 55.39, as you round up the second decimal place due to the third decimal place being a 9. Trailing zeros after the decimal can usually be dropped.

Explanation:

When rounding 55.3896 to the nearest hundredth, you need to look at the third decimal place, which is the thousandths place in this case. Since the digit in the thousandths place is a 9, which is greater than 5, you round up the second decimal place (hundredths place) by one. So, 55.3896 rounded to the nearest hundredth is 55.39. It is not necessary to write the trailing zeros after the decimal point unless specifically required for formatting reasons, such as in monetary values or certain scientific contexts. When you round a number and end up with zeros at the end like 55.3900, you can typically drop the trailing zeros to get 55.39.

Why are all spheres similar?

Answers

Answer:

Step-by-step explanation:

We have to tell all the spheres are similar. As the spheres has no other configuration except for being perfectly round three-dimensionally

Answer:

A sphere is a three-dimensional solid which only has one contribute, its radius or the axis of the sphere. If you have only one measurement you can compare with another sphere, so no matter what a sphere will always be proportional to the other. This making all spheres to be similar just like circles.

Step-by-step explanation:

point O is the center of this circle. What is the m<CAB

A). 55°
B). 48°
C). 45°
D). 35°​

Answers

Answer:

B

Step-by-step explanation:

The angle on the circumference is half the angle subtended at the centre by the arc CB, that is

∠CAB = 0.5 × ∠COB = 0.5 × 96° = 48° → B

m∠CAB is 48° given that point O is the center of the circle and ∠COB is 96°. This can be obtained by using the circle theorem.

What is circle theorem ?Circle Theorem: The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

Given that, ∠COB = 96°

By applying Circle theorem, we can say that

                                 ∠COB = 2∠CAB

                                      96° = 2∠CAB

                                 ∠CAB = 96°/2 = 48°

                                 ∠CAB = 48°

Hence m∠CAB is 48° given that point O is the center of the circle and ∠COB is 96°.

Learn more about circle theorem here:

brainly.com/question/17158173

#SPJ2

What is the value of 5^3i^9?

Answers

That should be 125i. If you have a graphing calculator you should be able to just enter it into the calculator to solve lol

The value of 5³i⁹ is 125i. This is found by simplifying i to the 9th power to just i and cubing the number 5 to get 125, then multiplying the two together.

To calculate the value of 5³i⁹, we need to understand how to handle complex numbers and exponents. The expression i, known as the imaginary unit, has the property that i² = -1. Keeping this property in mind, we can simplify i⁹ as i⁸ x i¹, where i⁸ is i² raised to the power of 4, which is (-1)⁴ = 1 because any even power of -1 will always equal 1. Therefore, i⁹ simplifies to i. Now, 5³ means that 5 is being cubed, which results in 5x5x5 = 125. Our final step is then to multiply 125 by i, yielding the result 125i.

find the value of x​

Answers

An outside angle is equal to the sum of the two opposite inside angles.

The triangle has an outside angle of 98, it's two opposite inside angles are given as 32 and X.

To find X, subtract 32 from 98.

X = 98 - 32 = 66

The answer is B.

Vector u has a magnitude of 5 units and a direction angle of 30°. Vector v has a magnitude of 7 units and a direction angle of 120°. What is the direction angle of their vector sum?

Answers

Answer:

Nearly 84°

Step-by-step explanation:

In the attached diagram

vector AB is vector u with magnitude 5 unitsvector AC is vector v with magnitude 7 unitsangle FAB = 30°angle FAC = 120°

So, angle BAC = 120° - 30° = 90°

A parallelogram ABCD is a rectangle, its diagonal vector AD is the sum of vectors AB and AC.

Consider right triangle ABD. In this triangle

[tex]\tan \angle BAD=\dfrac{BD}{AB}=\dfrac{AC}{AB}=\dfrac{7}{5}\\ \\\angle BAD\approx 54^{\circ}[/tex]

So, the sum vector AD has direction 30° + 54° = 84°

Which of the following is not an integer?
0.5
-22
75
0

Answers

Answer:

0.5

Step-by-step explanation:

Integers will not include decimals.

Integers are numbers you count with or the opposite of the counting numbers and also 0.

.5 is not a counting number (or the opposite of one or 0) so this is the one that isn't an integer.

Final answer:

Among the options provided, 0.5 is not an integer because it is a decimal number, whereas -22, 75, and 0 are all whole numbers and thus integers.

Explanation:

The question is asking to identify which of the given numbers is not an integer. An integer is defined as any whole number, including negatives, zero, and positive whole numbers. Therefore, out of the options given (0.5, -22, 75, 0), the number 0.5 is not an integer as it is not a whole number but a decimal.

The oblique prism below has an isosceles right triangle base. what expression represents the volume of the prism in cubic units?

The answer is (A). Your welcome ​

Answers

Answer:

[tex]V=(\frac{1}{2}x^{3}+x^{2})\ units^{2}[/tex]

Step-by-step explanation:

we know that

The volume of the oblique prism is equal to

[tex]V=BH[/tex]

where

B is the area of the base

H is the height of the prism

Find the area of the triangular base

The area B is equal to

[tex]B=\frac{1}{2}x^{2}\ units^{2}[/tex]

[tex]H=(x+2)\ units[/tex] ---> the height must be perpendicular to the base

substitute

[tex]V=(\frac{1}{2}x^{2})(x+2)[/tex]

[tex]V=(\frac{1}{2})(x^{3}+2x^{2})[/tex]

[tex]V=(\frac{1}{2}x^{3}+x^{2})\ units^{2}[/tex]

18. What best describes the solutions of
-2> 5x – 37

A.All real numbers greater than 7
B.All real numbers greater than 6
C.All real numbers less than 7
D.All real numbers less than 6


Plz show work or explain your answer :)​

Answers

Answer:

C

Step-by-step explanation:

Given

- 2 > 5x - 37 ( add 37 to both sides )

35 > 5x ( divide both sides by 5 )

7 > x ⇒ x < 7 → C

If f(x) = 2x + 8 and g(x) = x4, what is (gºf)(-3)?

Answers

[tex](g\circ f)(x)=(2x+8)^4\\\\(g\circ f)(-3)=(2\cdot(-3)+8)^4=2^4=16[/tex]

Final answer:

To find (g°f)(-3), we first calculate f(-3) = 2, and then g(2) which equals 16. Therefore, (g°f)(-3) is 16.

Explanation:

The question provided is asking us to compute the composition of two functions, denoted as (g°f)(-3), where f(x) and g(x) are both defined algebraically.

The composition of functions refers to applying one function to the results of another.

To find (g°f)(-3), we first evaluate f(-3) and then use that result as the input for g(x).

Firstly, let's evaluate f(-3):
f(x) = 2x + 8f(-3) = 2(-3) + 8 = -6 + 8 = 2

Now, we evaluate g(2) using the result from f(-3):
g(x) = x⁴g(2) = 2⁴ = 16

Therefore, (g°f)(-3) = g(f(-3)) = g(2) = 16.

In 4 hrs a toy maker can produce 10 boxes that each contains 5 toys. How many toys does the toy maker produce in 8 hrs?​

Answers

Answer:

100 toys in 8 hours

Step-by-step explanation:

10x5=50 (4 hours)

THEN

50x2=100 (8 hours)

The toy maker produces 100 toys in 8 hours. This problem may be answered using ratio and proportion or through the factor label method commonly used in Science. It uses equalities given in the problem to help solve an unknown quantity.

Further Explanation:

To get the number of hours produced in 8 hours, use the following relationships given in the problem:

4 hours = 10 boxes

1 box = 5 toys

1. Get the number of boxes of toys produced in 8 hours:

[tex]\frac{4 \ hours}{10 \ boxes} \ = \frac{8 \ hours}{x \ boxes} \\\\x \ boxes \ = \frac{(8 \ hours)(10 \ boxes) }{4 \ hours} \\\\\boxed {x \ = 20 \ boxes}[/tex]

In 8 hours, the toy maker can produce twice as many boxes of toys. Therefore, 20 boxes can me bade in 8 hours.

2. Get the number of toys in 20 boxes:

[tex]no. \ of \ toys = 20 \ boxes (\frac{5 \ toys}{1 \ box})\\ \\\boxed {no.\ of \ toys \ = 100 \ toys}[/tex]

If each box contained 5 toys, then 20 boxes will be equal to 100 toys.

Learn More:

Learn more about ratios https://brainly.com/question/165414Learn more about dimensional analysis https://brainly.com/question/10874167Learn more about factor label method https://brainly.com/question/10844562

Keywords: ratio and proportion, dimensional analysis

At which points are the equations y=x^2+3x+2 and y=2x+3 approximately equal?

Answers

Answer:

(0.618,4.236) and (-1.618,-0.236)

Step-by-step explanation:

To find the intersection, we are looking for a common point between the curves.

We are solving the system:

[tex]y=x^2+3x+2[/tex]

[tex]y=2x+3[/tex].

I'm going to do this by substitution:

[tex]x^2+3x+2=2x+3[/tex]

Subtract 2x and 3 on both sides:

[tex]x^2+1x-1=0[/tex]

[tex]x^2+x-1=0[/tex]

To solve this equation I'm going to use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

To find [tex]a,b,\text{ and }c[/tex], you must compare [tex]x^2+x-1=0[/tex]

to [tex]ax^2+bx+c=0[/tex].

[tex]a=1,b=1,c=-1[/tex].

Now inputting the values into the quadratic formula gives us:

[tex]x=\frac{-1\pm\sqrt{(1)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1+4}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{5}}{2}[/tex]

This means you have two solutions:

[tex]x=\frac{-1+\sqrt{5}}{2} \text{ or } x=\frac{-1-\sqrt{5}}{2}[/tex]

It does say approximately.

So I'm going to put both of these in my calculator and I guess round to the nearest thousandths.

[tex]x=0.618 \text{ or } x=-1.618[/tex]

Now to find the corresponding y coordinates, I need to use one the equations along with each x.

I choose the linear equation: y=2x+3.

y=2x+3 when x=0.618

y=2(0.618)+3=4.236

So one approximate point is (0.618,4.236).

y=2x+3 when x=-1.618

y=2(-1.618)+3=-0.236

So another approximate point is (-1.618,-0.236).

graph the following {(x,y): x + y = 5}

Answers

For this case we have the following function:

[tex]y = 5-x[/tex]

We look for the points of intersection with the x axis, doing y = 0

[tex]0 = 5-x\\x = 5[/tex]

We look for the points of intersection with the y axis, doing x = 0

[tex]y = 5-0\\y = 5[/tex]

We can also observe that the slope is -1.

[tex]y = mx + b\\y = -x + 5[/tex]

Answer:

See attached image

Which formula is used to calculate the standard deviation of sample data

Answers

Answer:

Step-by-step explanation:

Calculate the mean (simple average of the numbers).

For each number: subtract the mean. Square the result.

Add up all of the squared results.

Divide this sum by one less than the number of data points (N - 1). This gives you the sample variance.

Take the square root of this value to obtain the sample standard deviation.

Answer:

A

Step-by-step explanation:

EDGE 2020

tyreese is using algebra tiles to solve the equation below 2x+5=-x+(-1)​

Answers

For this case we have the following equation:

[tex]2x + 5 = -x + (- 1)[/tex]

Below are the correct steps to solve:

We eliminate the parenthesis taking into account that [tex]+ * - = -[/tex]

[tex]2x + 5 = -x-1[/tex]

We add "x" to both sides of the equation:

[tex]2x + x + 5 = -x + x-1\\3x + 5 = -1[/tex]

We subtract 5 from both sides of the equation:

[tex]3x + 5-5 = -1-5\\3x = -6[/tex]

We divide by 3 on both sides of the equation:

[tex]x = \frac {-6} {3}\\x = -2[/tex]

ANswer:

[tex]x = -2[/tex]

What is the sum of the interior angles of a regular polygon with 14 sides?

Answers

Answer:

154.3

Step-by-step explanation:

The measure of each interior angle of a regular polygon with 14 sides is about 154.3.

Answer:

2160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 14, thus

sum = 180° × 12 = 2160°

Solve.

{y=x−82x+3y=1

Use the substitution method.

(5, −3)

(4, −4)

(0, −8)

(2, −6)

Answers

Answer:

(5,-3) if the system is

y=x-8

2x+3y=1

Step-by-step explanation:

I think the system is to read:

y=x-8

2x+3y=1.

Please correct me if I'm wrong.

I'm going to plug 1st equation into 2nd equation giving me:

2x+3(x-8)=1      ->I replaced y with (x-8).

Distribute:

2x+3x-24=1

Combine like terms:

5x-24=1

Add 24 on both sides:

5x=25

Divide both sides by 5:

x=5

If y=x-8 and x=5, then y=5-8=-3.

The solution is (5,-3).

(5, −3) is the solution of given system of equations.

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is a system of equations?

"It is set of equations for which we find a common solution."

What is substitution method?

"It is a method of solving system of equation we substitute the value of a variable found by one equation in the second equation."

For given question,

We have been given a system of equations.

y = x - 8                ..............(i)

2x + 3y = 1                 ...............(ii)

We use substitution method to solve given system of equations.

Substitute the value of y from (i) to equation (ii).

⇒ x + 3(x - 8) = 1

⇒ 2x + 3x - 24 = 1

⇒ 5x = 1 + 24

⇒ 5x = 25

⇒ x = 5

Substitute above value of x in an equation (i)

⇒ y = 5 - 8

⇒ y = -3

So, the solution of given system of equations is x = 5 and y = -3

Therefore (5, -3) is the solution of given system of equations.

Learn more about the substitution method here:

https://brainly.com/question/14619835

#SPJ2

What is the product of the complex number z1 and it’s conjugate? PLEASE HELP GRAPH in picture

Answers

Answer:

The product is 25

Step-by-step explanation:

we know that

The complex number z1 is equal to

z1=(-4-3i)

we know that

To find the complex conjugate of (-4 - 3i) we change the sign of the imaginary part

so

The conjugate is equal to (-4+3i)

therefore

[tex](-4-3i)(-4+3i)=16-9(-1)=25[/tex]

Answer:

[tex](-4-3i) (- 4 + 3i) = 25[/tex]

Step-by-step explanation:

Notice in the graph that z1 has a real component of -4 and an imaginary component of -3.

Then we know that:

[tex]z_1 = -4-3i[/tex]

By definition for an imaginary number of the form [tex]a-bi[/tex] its conjugate will always be the number [tex]a + bi[/tex]

So the conjugate of [tex]z_1[/tex] is:

[tex]-4 + 3i[/tex]

The product of both numbers is:

[tex](-4-3i) (- 4 + 3i) = 16-12i + 12i-9i ^ 2\\\\(-4-3i) (- 4 + 3i) = 16-9 (-1)\\\\(-4-3i) (- 4 + 3i) = 16 + 9\\\\(-4-3i) (- 4 + 3i) = 25[/tex]

How many teams are represented by every color in the pie chart shown

Answers

Answer: 5

times are properly represented on the chart, the other represents other possible colored teams

Step-by-step explanation:

There are 6 colors in the key, indicating there are at least 6 teams. But we only have a formal data set of 5 of those colors, therefore representing 5 teams.

The number of teams represented by each color in the pie chart are as follows:

Black: 24%, Navy blue: 21%, White: 19%, Gray: 16%, Maroon: 8%, Other: 12%

The pie chart shows that the dominant uniform color in the dataset is black, with 24% of teams represented by that color. This is followed by navy blue (21%), white (19%), gray (16%), and maroon (8%). The remaining 12% of teams are represented by a variety of other colors.

Here is a table showing the number of teams represented by each color:

Color | Number of teams

Black 24%

Navy blue 21%

White | 19%

Gray | 16%

Maroon | 8%

Other | 12%

Please note that the pie chart does not specify the total number of teams in the dataset, so it is not possible to say exactly how many teams are represented by each color. However, we can estimate that approximately 24% of the teams are black, 21% are navy blue, 19% are white, 16% are gray, 8% are maroon, and 12% are represented by a variety of other colors.

For such more questions on color

https://brainly.com/question/17141025

#SPJ12

Other Questions
Copy of A buffer consists of 0.33 M Na2HPO4 and 0.28 M Na3PO4. Given that the K values for H3PO4 are, Ka1 = 7.2 x 10-3, Ka2 = 6.3 x 10-8, and Ka3 = 4.2 x 10-13, calculate the pH for this buffer HELP Which of the following words is a synonym for the word "audacious"?afraidobedientcautiousadventurous write a compound inequality that represents each situations all real numbers that are greater than -8 but less than 8 Plz brainliest people help me!!!!!!!!Lets see who is smart ??????All the bestRead this excerpt from A Girl from Yamhill.When I think of my parents together, I see them beside this staircase. My big father is leaning on my little mother. Sweat pours from his usually ruddy face, now white with pain, as he holds one arm in the other.I am horrified and fascinated, for I think one arm has fallen off inside his denim shirt.How does the narrator's father's injury affect the narrator in this excerpt?It helps her understand why he has to leave home often.It helps her understand why he works so hard.It shapes the way she remembers the size of her home.It shapes the way she remembers her parents. one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola defined by y=x^2-3x+2 A force vector has a magnitude of 720 N and a direction of 38 degree north of east. Determine the magnitude and direction of the components of the force that point along the north-south line and along east-west line. Explain how the structure of each of the following tissues follows its function:a. Stratified squamous keratinized epithelium: b. Simple squamous epithelium: c. Hyaline cartilage: d. Bone: Handley Manufacturing Company has prepared the following flexible budget for August and is in the process of interpreting the variances. F denotes a favorable variance and U denotes an unfavorable variance. Flexible Variances Budget Price Efficiency Material A $ 50 comma 000 $ 1 comma 100F $ 3 comma 600U Material B 69 comma 000 400U 1 comma 100F Direct manufacturing labor 87 comma 000 500U 2 comma 900F The most likely explanation of the above variances for Material A is that ________. The equation of a circle in general form is x2+y2+20x+12y+15=0 . What is the equation of the circle in standard form? Assume that a speculator purchases a put option on British pounds (with a strike price of $1.50) for $.05 per unit. A pound option represents 31,250 units. Assume that at the time of the purchase, the spot rate of the pound is $1.51 and continually rises to $1.62 by the expiration date. The highest net profit possible on the option for the speculator based on the information above is:a.$1,562 b. -$1,562 c. -$1,250 d. -$1,250 e. None of the above Solve for x: 5 over x equals 4 over quantity x plus 3 5 3 3 15 Vicky is presenting his research on Echinoderms. How should he explain the water vascular systemA)It helps draw water into the siphonB)It draws water into the tube feet,which help in locomotion C)It helps expand the body size, which helps in moltingD)It helps the process of filter feeding Use a special right triangle to write sin 30 as a fraction. HELP PLEASE!! The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.The mean of the temperatures in the chart is 24 with standard deviation of 4. How many years had temperatures within one standard deviation of the mean?20252835 A student is skateboarding down a ramp that is 8.51 m long and inclined at 23.7 with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.97 m/s. Neglect friction and find the speed at the bottom of the ramp. HELP!!Type the correct answer in the box, and .If angle x is in the fourth quadrant and angle y is in the first quadrant, the value of is . In its entirety, the CCM process reduces the risk that ANY modifications made to a system result in a compromise to system or data confidentiality, integrity or availability. TRUE or FALSE If the speed of light in a substance is 2.26 x 10^8 m/s, what is the index of refraction of that substance? Is Mycobacterium plei gram positive or gram negative or not either or? Ace Industries has current assets equal to $9 million. The company's current ratio is 2.0, and its quick ratio is 1.5. Do not round intermediate calculations. Round your answers to the nearest dollar. What is the firm's level of current liabilities? $ What is the firm's level of inventories?