Use the distributive property to write an equivalent expression:
Example: 24n + 32 = 4 (6n+ 8)
(Look at the first expression. What factor goes into BOTH 24 and 32? (4 does!) So the number 4 goes on the outside of the parenthesis. 4 times what number will give me 24? (6 Does!). Then we do the same for 32...4 times what number gives me 32? (8 does!). Do you see the pattern? This means that both of these expressions are EQUIVALENT!
48x + 24

18n + 36

15 + 12k

Answer:

Equilateral triangles can have only acute angles because acute angles means less than 90° so every angles in equilateral triangle have 60°

Answer:

$28.90

Step-by-step explanation:

If it is marked down 15% then that means it is sold at 85% of the original price

x/34=85/100

cross multiply both fractions

100x=2890

x=28.90

Answer:

$28.90

Step-by-step explanation:

take 34 and multiply that by .15, that would get you 5.1

take 34 and subtract 5.1 and that should get you your new price

Answer:

the answer is X > 9

Step-by-step explanation:

you divide move the 2 to the other side and divide by 18

Answer:

c=−3 or c=7

Step-by-step explanation:

Step 1: Cross-multiply.

c/3= 7/c−4

c*(c−4)=(7)*(3)

c2−4c=21

Step 2: Subtract 21 from both sides.

c2−4c−21=21−21

c2−4c−21=0

Step 3: Factor left side of equation.

(c+3)(c−7)=0

Step 4: Set factors equal to 0.

c+3=0 or c−7=0

c=−3 or c=7

Answer:

The answer is 34.75% because:

Step-by-step explanation:

36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=

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Answer:

6

Step-by-step explanation:

(1/3) + (1/4) + (1/6) + (1/2)

5/6

At max, ⅚ of the pies contain atleast one of these ingredients

1 - ⅚ = ⅙

Atleast ⅙ of them don't contain any

⅙ × 3 dozen

⅙ × 36

6

The sections on the spinner are used to illustrate probability

The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

The sections in the spinners are:

From the above parameters, the probability of each section is:

P(Red) = 1/4

P(Blue) = 1/2

P(Yellow) = 1/2

When the spinner is spun 1000 times, the expected outcomes are:

Red = 1/4 * 1000 = 250

Blue = 1/2 * 1000 = 500

Yellow = 1/4 * 1000 = 250

From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

Read more about probabilities at:

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Answer:

x=2 , 1

Step-by-step explanation:

the zeros are the value of X

-x+2x+x-2

-x(x-2)+x-2

(x-2)×(x+1)

x = 2 , 1

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

The quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

Therefore, the quotient between 33.7 and 9.5 would be:

33.7/9.5 = 3.547 (division).

We are asked to round to the nearest whole number.

Therefore, the quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

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Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

5:24

Therefore, rhe simplified ratio of rebounds ro steals is 5:24

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

Answer:

-3/5

Step-by-step explanation:

The equation would be represented as 63 - 15 x X = 72

To further simplify the problem : 63 - 15x = 72

Then you subtract

- 15x = 9

- 3/5

The expression [tex]\(2^6\)[/tex] means 2 raised to the power of 6. It indicates multiplying 2 by itself six times. So, [tex]\(2^6\)[/tex] is equal to 64. The correct answer is C. 64.

It seems like the expression you've written is [tex]2^{6}[/tex], which means 2 raised to the power of 6. Let's evaluate this expression:

[tex]\[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \][/tex]

So, the correct answer is:

[tex]\[ \text{C. 64} \][/tex]

Q- Evaluate the expression  [tex]2^{6}[/tex].

A. 26

B. 12

C. 64

D. 36

Answer:

A

Step-by-step explanation:

To find (f ￮ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(2x - 1)

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11 → A

Answer:

1 i think

Step-by-step explanation:

The solution of the system is x = - 1 and y = 8/3.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

We have a system of equations,

2x+3y=6  {equation 1}

-4x+3y=12  {equation 2}

Subtracting equation 2 to equation 1,

2x - (-4x) = 6 - 12

6x  = - 6

x = - 1.

And y = 8/3

Therefore, the solution is x = - 1 and y = 8/3.

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Answer:

6:9

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

G(x)=2x-5 h(x)=4x+5

g(3)-h(3)

g(3) = 2(3) -5 = 6-5 =1

h(3) = 4(3) +5 = 12 +5 = 17

g(3)-h(3) = 1-17 = -16

Answer:

-16

Step-by-step explanation:

G(x)=2x-5

G(3)=2(3)-5

=6-5

=1

H(x)=4x+5

H(3)=4(3)+5

=12+5

=17

G(3)-H(3)

1-17

=-16

Therefore the final answer is -16

Answer:

B, 7 units.

Step-by-step explanation:

Since points K and L have the same x value, their only difference in location is with their y coordinate. The difference between the first y coordinate (5) and the second y coordinate (-2) is 5-(-2)=7 units, which is the length of KL. Hope this helps!

Answer:

7

Step-by-step explanation:

To solve for this equation, we are going to use the distance formula, or what is known as:

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\[/tex]

Solving for distance is easier to do with perfect squares, in which this one is. If you're ever wondering which way to arrange the x2-x1 it doesn't matter how you put it, just be sure to put both x and y in the same order.

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\K(4,5)\\L(4, -2)\\\sqrt{(4 -4)^{2}+ (-2 -5)^{2} }\\\sqrt{(0)^{2}+ (-7)^{2} }\\\sqrt{(0)+ (49) }\\\sqrt{49} = 7[/tex]

I am happy to help with any other questions you might have in the future and I will continue to work hard in trying to provide the best answers I can :)

Answer:

[tex]f(x) = 2 {x}^{2} - x - 9 \\ \\ a) \: plug \: x = - 2 \\ f( - 2) = 2 \times {( - 2)}^{2} - ( - 2) - 9 \\ f( - 2) = 2 \times 4 + 2 - 9 \\ f( - 2) =8 + 2 - 9 \\ f( - 2) =10 - 9 \\ \huge \red{ \boxed{ f( - 2) =1}} \\ \\ b) \: \: plug \: x = x - 2 \\ f(x - 2) = 2 {(x - 2)}^{2} - (x - 2) - 9 \\ f(x - 2) = 2 {( {x}^{2} - 4x + 4 )} - x + 2- 9 \\ f(x - 2) = 2 {x}^{2} - 8x + 8 - x + 2- 9 \\ \purple{ \boxed{\bold{f(x - 2) = 2 {x}^{2} - 9x + 1}}} \\ \\ c) \: \: plug \: x = r \\ \orange{\boxed{\bold{f(r) = 2 {r}^{2} - r - 9}}}[/tex]

Answer:

The correct answer is D

Step-by-step explanation:

If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.

Good luck!

Answer: A,D,E,F on Edge

Explanation:

yes

The true statements regarding the function f(x)=10/(x+5) are that the domain excludes x=-5, there is a vertical asymptote at x=-5, the y-intercept is at (0,2), and the end behavior is such that as x approaches negative or positive infinity, f(x) approaches 0. There are no x-intercepts, and the range is all real numbers except 0.

The function given is f(x) = \frac{10}{x+5}. To analyze the properties of this function, we need to understand its behavior when x approaches certain values and its graph within the given restrictions. Let's check each statement given:

Answer:

10 units

Step-by-step explanation:

Use distance formula

distance D = root (  (1 - -5)^2  + (-6 - 2)^2 )

D = root (6^2  + 8^2)  =   root (100) = 10

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

To find the possible coordinates of vertex C of an equilateral triangle with side AB on the coordinate plane, we calculate the midpoint of AB and use the length of the altitude to find two possible positions for C, approximated as (1, 6.2) and (1, -4.2).

Vanessa draws one side of an equilateral triangle on the coordinate plane at points A(-2, 1) and B (4, 1). To find the possible coordinates of vertex C, we first recognize that in an equilateral triangle, all sides are of equal length, and the altitude forms a 60-degree angle with the base.

Given points A(-2, 1) and B(4, 1), the distance AB is 6 units. Using the Pythagorean theorem in a 30-60-90 right triangle, the length of the altitude (half of the triangle height) from the midpoint of AB to C is 3√3. To find coordinate C, we add and subtract this distance from the midpoint of AB, which we calculate as ((-2 + 4)/2, (1 + 1)/2) = (1, 1).

Thus, the two possible coordinates for C are (1, 1 + 3√3) and (1, 1 - 3√3), which approximately are (1, 6.2) and (1, -4.2), rounding to the nearest tenth.

Find the vertical and horizontal difference between the two given points:

Horizontal  is the Y values: 4 - -4 = 4+4 = 8

Vertical is the X values 7 - -1 = 7+1 = 8

Multiply the changes by the ratio:

Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)

8 * 1/4 = 2

AC in the horizontal and vertical direction is 8 units. AB in the horizontal and vertical direction is 1/4 of 8 which is 2 units. To find the coordinates of B on the graph, move 2 units to the left and 2 units down. We lie on the point (5, 2).

Best of Luck!

Answer:

33

Step-by-step explanation:

add all the numbers together and divide them by the number of values given

Answer:

33, 33.2 to be precise

Step-by-step explanation:

Mean is the average of a set of numbers, so just add all of them and divide by the amount of numbers (9)

Answer:

T=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: A. 7 divided by 8.

Step-by-step explanation:

7/8 is the same as saying seven divided by 8.

The correct answer to the question: 'Which expression is equal to 7/8?' is A. 7 divided by 8. This is because the '/' in the fraction 7/8 represents division, so 7/8 is the same as '7 divided by 8'.

In Mathematics, when dealing with fractions, division, and multiplication, it's crucial to understand their relationships. The symbol '/' in a fraction actually represents division. So, the fraction 7/8 can be interpreted as '7 divided by 8'. Therefore, the correct answer to your question is: 'Which expression is equal to 7/8?' is A. 7 divided by 8.

On the other hand, options B and D (8 x 7, 7 x 8) represent multiplication and C (8 divided by 7) is a different division operation where 8 is divided by 7, not 7 by 8.

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Answer:

[tex]-2^{2} -4(1)(5)[/tex]

so the answer would be c.

Step-by-step explanation:

The discriminant is the following equation:

[tex]b^{2} -4ac[/tex]

You just simply plug in the values of the coefficients.

[tex]0=x^{2} -2x+5[/tex]

a = 1 (first terms coefficient)

b = -2 (second terms coefficient)

c = 5 (last terms coefficient)

Answer:

Electrostatic force

Step-by-step explanation:

The answer is Electrostatic force because physical contact isn't required here.

Answer:

2,916 cubic centimeters

Step-by-step explanation:

9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2

216/2 = 108 for each

108 x 27 = 2,916 cubic centimeters

All work was done by me, not Google

Answer:

REFLECTION

Step-by-step explanation:

The triangle ABC was reflected over the x-axis to get triangle A'B'C'.