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4 years ago

Which statement describes the end behavior of the function f(x)=3|X-7|-7

Mathematics

1 answer:

ra1l [238]4 years ago

7 0

Answer:

Step-by-step explanation:

absolute value is always positive

|x-3|≥0

f(x)≥-7

f(x) is open above.

it starts from above x-axis on the left and ends above x -axis.

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Complete the expressions to find the perimeter PP of a rectangle that is 7 inches long by 5 inches wide.

neonofarm [45]

PP = 2L + 2W. Here, PP = 2(7 inches) + 2(5 inches) = 24 inches.

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3 years ago

What is the percent increase from 250 to 900?

brilliants [131]

900 - 250 = 650

650 / 250 = 13 / 3 = 2.6 = 260%

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3 years ago

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Look at the graph.

Rainbow [258]

Answer:

$f(x) =80 \cdot \: {( \frac{1}{4} )}^{x - 1}$

Step-by-step explanation:

Fro the graph, the first three terms of the sequence are 80,20,5,...

This is a geometric sequence with first term

$f(1)= 80$

The common ratio is

$r = \frac{20}{80} = \frac{5}{20} = \frac{1}{4}$

The function is given by

$f(x) = f(1) \cdot \: {r}^{x - 1}$

We substitute the values we got from the graph into this formula to get:

$f(x) =80 \cdot \: {( \frac{1}{4} )}^{x - 1}$

The correct answer is A

5 0

3 years ago

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19) Albert says that the two systems of equations shown have the same solutions.

k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

$6x + y= 2$

$-x-y=-3$

solving the system

$\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18$

$\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}$

adding the equation

$-6x-6y=-18$

$+$

$\underline{6x+y=2}$

$-5y=-16$

so the system becomes

$\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

simplify

$y=\frac{16}{5}$

$\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$6x+\frac{16}{5}=2$

subtract 16/5 from both sides

$6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}$

$6x=-\frac{6}{5}$

Divide both sides by 6

$\frac{6x}{6}=\frac{-\frac{6}{5}}{6}$

$x=-\frac{1}{5}$

Therefore, the solution to the FIRST SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

SECOND SYSTEM

$2x-3y = -10$

$-x-y=-3$

solving the system

$\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6$

$\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}$

$-2x-2y=-6$

$+$

$\underline{2x-3y=-10}$

$-5y=-16$

so the system of equations becomes

$\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

Simplify

$y=\frac{16}{5}$

$\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$2x-3\cdot \frac{16}{5}=-10$

$2x=-\frac{2}{5}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\frac{2}{5}}{2}$

Simplify

$x=-\frac{1}{5}$

Therefore, the solution to the SECOND SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

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3 years ago

Find the value of x.

xxMikexx [17]

Answer: X=36

Step-by-step explanation: 5x = 180

X= 180/5

4 0

4 years ago

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