Solve the system by the substitution method.
min
y=-3X-6
3x-4y=9​

Answer:

The length of the third side could be all real numbers greater than 2 units and less than 16 units

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

Applying the triangle inequality theorem

Let

x ------> the length of the third side

we have

First case

1) 7+9 > x

16 > x

Rewrite

x< 16 units

Second case

2) 7+x > 9

x > 9-7

x > 2 units

therefore

The solution for the third side is the interval

(2,16)

All real numbers greater than 2 units and less than 16 units

Answer:

Area = [tex]3y^2 - 4y - 4[/tex] units square.

Perimeter = 8y units.

Step-by-step explanation:

Area of a rectangle = length * width.

Perimeter of a rectangle = 2*(length + width).

It is given that length = y−2 units and width = 3y+2 units. To find the area and the area of the rectangle in terms of y, simply put the length and the width in the above area and perimeter equations.

Area = length * width = (y-2)*(3y+2).

Expanding the expression gives:

Area = 3y^2 + 2y - 6y - 4 = (3y^2 -4y - 4) units square.

Similarly,

Perimeter = 2*(length + width) = 2*(y-2 + 3y+2) = 2*4y = 8y units.

Therefore, the expression for the area and the perimeter of the given rectangle is ([tex]3y^2 - 4y - 4[/tex]) units square and (8y) units respectively!!!

Answer: NUMBER 9 I'm on gradpoint too

Step-by-step explanation:

[tex]|\Omega|=6^6\\|A|=6\cdot 5^5\\\\P(A)=\dfrac{6\cdot5^5}{6^6}=\dfrac{5^5}{6^5}=\dfrac{3125}{7776}\approx40.2\%[/tex]

The probability that a face with a 6 comes up exactly once will be 0.40.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A number cube has 6 faces, numbered from 1 to 6.

If the cube is rolled six times.

Then the probability that a face with a 6 comes up exactly once will be

The total number of the event will be

Total event = 6⁶

Total event = 46656

Favorable event = 6 x 5⁵

Favorable event = 18750

Then the probability will be

P = 18750 / 46656

P = 3125 / 7776

P = 0.40

More about the probability link is given below.

https://brainly.com/question/795909

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The answer is:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

[tex]2x+3x+x^{2}=x^{2}+(2x+3x)=x^{2}+5x[/tex]

We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.

We need to perform the following operation between polynomials:

[tex](-x^{2}+9)+(3x^2-11x+4)[/tex]

So, calculating we have:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

Have a nice day!

d = sqrt (2-(-6))² + (-3-4)²)

d = sqrt ( 8² + 7² )

d = sqrt ( 64 + 49 )

d = sqrt (113)

Answer: The distance between the two points is roughly  10,63:

B)

The distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. This can be obtained by using the distance formula.

The distance between two points (x₁,y₁) and (x₂,y₂) is

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

In the given question, (x₁,y₁) is (2,-3) and (x₂,y₂) is (-6,4),

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

                        =[tex]\sqrt{{((-6)-2 )}^{2} + (4-(-3) )^{2}[/tex]

                        =[tex]\sqrt{{(-8)}^{2} + (7 )^{2}[/tex]

                        = [tex]\sqrt{{64 + 49[/tex]

                        =√113 =10.63 units

Hence the distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. Thus option B is correct.

Learn more about distance formula here:

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Answer:

D. 10i √(3)

Step-by-step explanation:

√(-300)

We know sqrt (ab) = sqrt(a) sqrt(b)

sqrt(-300) = sqrt(-3) sqrt(100)

                 = sqrt(-1) sqrt(3) sqrt(100)

The sqrt(-1) =the imaginary number 1 and sqrt(100) =10

                  = i * sqrt(3) * 10

                    =10i sqrt(3)

Answer:

.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rewrite -x-2y= -10 as  -2y= x - 10 and then as y = (-1/2)x + 5.

Then choose any 3 x values and find the corresponding y values using this formula.  For example:

 x     y = (-1/2)x + 5              (x, y)

-----   --------------------            ---------

 0                   5                    (0, 5)

-4       (-1/2)(-4) + 5 = 7         (-4, 7)

  6      (-1/2)(6) + 5 = 2          (6, 2)

Plot these three points and then draw a line through them.  

Answer:

0,5  2,6  4,7  

Step-by-step explanation:

You have to solve the equation by keeping y on its own. The equation is

y=-1/2x-5

Coordinates are:

0,5  2,6  4,7  

Answer:

4x^2/4x^2-x-3

Step-by-step explanation:

boomchakalaka

The quotient is 4x²/4x²-x-3.

In mathematics, a quotient is a quantity produced with the aid of the department of numbers.

The quotient is the solution acquired whilst we divide one range by using every other. for example, if we divide the quantity 4 by means of 2, we get the end result as 2, that's the quotient.

Learn more about quotient here: brainly.com/question/629998

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Answer:

0.00083

Step-by-step explanation:

200*300*30=1800000

1500/1800000=0.00083

The cost per cubic foot of the storage space is approximately $0.00083 per cubic foot. Hence the correct option is D.

To find the cost per cubic foot of the storage space, we need to calculate the total cubic footage of the space and then divide the monthly cost by that number. The storage space measures 200 ft x 300 ft x 30 ft, so the total volume is:

Total Volume = length times width times height

= 200 ft x 300 ft x 30 ft

= 1,800,000 cubic feet

Now, we calculate the cost per cubic foot:

Cost Per Cubic Foot = Total Monthly Cost / Total Volume

= $1500 / 1,800,000 cubic feet

= $0.00083 per cubic foot (rounded to five decimal places).

Answer:

f=-5

Step-by-step explanation:

1) Add 12 to both sides

2) You should get f=-5

Answer:

[tex]\huge \boxed{F=-5}\checkmark[/tex]

Step-by-step explanation:

First, switch sides.

[tex]\displaystyle F-7=-12[/tex]

Then, add by 7 from both sides of equation.

[tex]\displaystyle F-7+7=-12+7[/tex]

Simplify, to find the answer.

[tex]\displaystyle -12+7=-5[/tex]

[tex]\huge \boxed{F=-5}[/tex], which is our answer.

Answer:

11 meters

Step-by-step explanation:

Using the Pythagorean Theorem

a^2 + b^2 = c^2

a^2 + 60^2 = 61^2

a^2 + 3600 = 3721 (subtract 3600 from both sides)

a^2 = 121 (square root both sides so a^2 becomes a)

a = 11

Answer:

Step-by-step explanation:

This problem models a right rectangle, where the hypothenuse is the length of the string, and the legs are the height and the horizontal distance. So, to find the answer, we just have to use the pythagorean theorem

[tex]a^{2}=b^{2}+c^{2}[/tex]

Where

[tex]a=61;b=60;c=x[/tex]

Replacing and solving for [tex]x[/tex], which is the height

[tex]a^{2}=b^{2}+c^{2}\\61^{2}=60^{2}+x^{2} \\x^{2}=61^{2}-60^{2}\\x=\sqrt{3721-3600}=\sqrt{121}=11[/tex]

Therefore, assuming there is no slack in the string, the height of the kite from the ground is 11 meters.

Answer:

1/30

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

3 1/2 plus 2 2/3 equals 6 1/6. 10 minus 6 1/6 equals 3 5/6. So they still need to lose 3 5/6 pounds to reach their go of losing 10 pounds.

let's firstly convert the mixed fractions to improper fractions, and then subtract.

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{goal}}{10}-\stackrel{\textit{first week}}{\cfrac{7}{2}}-\stackrel{\textit{second week}}{\cfrac{8}{3}}\implies \cfrac{10}{1}-\cfrac{7}{2}-\cfrac{8}{3}\implies \stackrel{\textit{using an LCD of 6}}{\cfrac{(6)10-(3)7-(2)8}{6}} \\\\\\ \cfrac{60-21-16}{6}\implies \cfrac{23}{6}\implies 3\frac{5}{6}[/tex]

Answer:

Order of symmetry = 1

Step-by-step explanation:

First of all we will define rotational symmetry.

Rotational symmetry is when a shape looks the same after some rotation or less than one rotation.

The order of rotational symmetry is how many times it matches the original shape during the rotation.

The given shape, when rotated will only have the shape like original shape after one complete rotation so the order of symmetry is one ..

Answer:

Domain is all real numbers also known as [tex](-\infty,\infty)[/tex] in interval notation.

[tex]f(x)=\sqrt[3]{x-1}[/tex]?

Step-by-step explanation:

If your function is [tex]f(x)=\sqrt[3]{x-1}[/tex] then the domain is all real numbers because you can cube root any real number.

If x is a real number, then x-1 is a real number.

So if you cube root (x-1) for any x then you still get a real number back.

Now if it was a square root, that is when we can run into some problems.

Answer: -infinity and positive infinity

Step-by-step explanation: It's either a on your test or two zero's that look twisted :)

Hey there! :)

Find the value of y when x=1 : 9x + 7y = -12

To find the value of y, simply plug in 1 for x in our given equation.

9(1) + 7y = -12

Simplify!

9 + 7y = -12

Subtract 9 from both sides so that we can isolate y.

7y = -12 - 9

Simplify.

7y = -21

Now, divide both sides by 7 to fully isolate y.

7y ÷ 7 = -21 ÷ 7

Simplify!

y = -3

~hope I helped!~

0,1,4,9

0+1= 1

1+3= 4

4+5= 9

Add the numbers by using an odd number each time.

9+7= 16

16+9= 25

Answer is 16, 25 ( first choice):

0, 1, 4, 9, 16, 25

Answer:

B. Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

B. Unimodal-Skewed ..

Answer:

B. Unimodal Skewed

Step-by-step explanation:

The Histogram given in figure has one peak and it is skewed to the right So, it is Right Skewed Unimodal Histogram.

Moreover, Unimodal means the distribution has one peak, Skewed means this peak is present in either the left or right side of the center of the distribution.

Option A is incorrect because the given histogram is not symmetric, it is skewed distribution.

Option C can't be taken because uniform means the size of bars is approximately same for the given distribution.

Options D & E is not correct because the given distribution is not Bimodal it has only one peak.

Answer:

D. 35 degrees.

Step-by-step explanation:

125 = p + 90 (by the external Angle of a Triangle theorem).

p = 125 - 90

p = 35 degrees (answer).

Answer:

35 degrees

Step-by-step explanation:

Ok so that angle that has the 125 degree is adjacent to an angle inside the triangle. These adjacent angles are actually supplementary because they are formed by a straight-edge. So the angle inside adjacent to the 125 degree angle is 180-125=55 degrees.

Same logic applies to angle adjacent to the 90 degree angle. The angle adjacent to the 90 degree angle is also supplementary to the 90 degree angle. So 180-90=90 degrees for the other inside angle next to the 90 degree angle.

So the figure formed here is a triangle.  The angles in this triangle should add up to be 180 degrees.  So we have the equation 90+55+p=180.

Let's solve this by first simplifying the 90+55 part!

145+p=180

Subtract 145 on both sides:

p=180-145

Simplify.

p= 35 degrees

Answer:

There were 12 + 28 = 40 pieces of fruit in the basket.

Step-by-step explanation:

Suppose there were x oranges and y grapefruit.

Then we have

1 /3 x =  4

x = 4*3 = 12.

1/4 y = 7

y = 7*4 = 28.

The answer addresses the true or false nature of five statements about the properties of coordinate pairs in a two-dimensional graph with respect to their quadrants, and the location of specific points on the coordinate plane.

The coordinates (x, y) indicate the position of a point on a two-dimensional graph in relation to the origin, which is at (0, 0). In a standard coordinate system, Quadrant I has both x and y as positive, Quadrant II has x as negative and y as positive, Quadrant III has both x and y as negative, and Quadrant IV has x as positive and y as negative.

Answer:

y = -8

Step-by-step explanation:

It is given that,

-x - y = 7  ---(1)

x - y = 9  ---(2)

To find the solution

Add eq (1) and eq(2) we get

-x - y = 7  ---(1)

x - y = 9  ---(2)

0 - 2y  = 16

y = 16/(-2) =  -8

Substitute the value of y in eq(1)

-x - y = 7  ---(1)

-x - -8 = 7

-x + 8 = 7

x = 8 - 7 = 1

Therefore x = 1 and y = -8

Answer:

(1, 3).

Step-by-step explanation:

The tree tiles coordinates are x = 5-3 = 2 and the y coordinate = 4 - 2 = 2

- that is (2, 2).

So the coordinates of the second sun are (2-1, 2 + 1)

= (1. 3).

Answer:

Step-by-step explanation:

[tex]\sqrt{\dfrac{896z^{15}}{225z^6}}=\dfrac{xz^4}{15}\sqrt{14z}\\\\\sqrt{\dfrac{896z^{15}}{225z^6}}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=\sqrt{\dfrac{(64)(14)z^{15-6}}{225}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\=\dfrac{\sqrt{64}\cdot\sqrt{14}\cdot\sqrt{z^9}}{\sqrt{225}}=\dfrac{8\cdot\sqrt{14}\cdot\sqrt{z^{8+1}}}{15}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\dfrac{8\sqrt{14}\cdot\sqrt{z^8z}}{15}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]

[tex]=\dfrac{8\sqrt{14}\cdot\sqrt{z^8}\cdot\sqrt{z}}{15}=\dfrac{8\sqrt{14}\cdot\sqrt{z^{4\cdot2}}\cdot\sqrt{z}}{15}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{8\sqrt{14}\cdot\sqrt{(z^4)^2}\cdot\sqrt{z}}{15}\qquad\text{use}\ (\sqrt{a})^2=a\\\\=\dfrac{8\sqrt{14}\cdot z^4\cdot\sqrt{z}}{15}=\dfrac{8z^4\sqrt{14}\cdot\sqrt{z}}{15}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\dfrac{8z^4\sqrt{14z}}{15}[/tex]

[tex]\dfrac{8z^4\sqrt{14z}}{15}=\dfrac{xz^4\sqrt{14z}}{15}\iff x=8[/tex]

Answer:

Natural numbers = {1,2,3,4,5…} Answer 1: A is the set of Natural numbers between 1 and 5 inclusive. Answer 2: A is the set of Natural numbers less than 6.

Step-by-step explanation:

Answer:

n = 1, 2, 3, 4

Step-by-step explanation:

Natural numbers are any integers (whole numbers) that are positive.

In this case, all natural number (n) is less than (<) 5

n < 5 is your equality, but in reality it looks like: 0 < n < 5

The numbers that can fit into your problem is n = 1 , 2, 3, 4

n = 1, 2, 3, 4 is your answer.

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