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3 years ago

Write an inequality for the graph. Please help!

Mathematics

1 answer:

Masja [62]3 years ago

4 0

There are 2 lines, so this is a system of inequalities.

Find the equation of both lines:

The longer line using points (0,6) and (3,3)

Equation is y = -X+6, the inequality becomes y ≥-x+6

The equation for the shorter line:

Using points (5,1) and (6,2)

Equation is y=x-4, the inequality becomes y≤x-4

The system of inequalities is:

y ≥-x+6

y≤x-4

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The product of 6<br> and the sum of five<br> and a number

Vaselesa [24]

Answer:

6 * (5 + n)

Explanation:

Sum = addition

Difference = subtraction

Product = multiplication

Quotient = division

6 0

1 year ago

Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

1 year ago

For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in

lions [1.4K]

We have the expressions:

$f(x)=x^2+6x+15$ $y=x^2-4x+9$ $f(x)=x^2-8x$ $y=x^2+7x-2$

Now, with this we operate as follows:

$f(x)=x^2+6x+15=x^2+6x+9+15-9$ $\Rightarrow(x+3)^2+6$

Then, the axis is x = -3 and the vertex (-3, 6)

$y=x^2-4x+9=x^2-4x+4+9-4$ $\Rightarrow(x-2)^2+5$

Then, the vertex is (2, 5) and the axis is x = 2.

$f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4$

Then, the vertex is (2, -4) andd the axis is x = 2.

$y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}$ $\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}$

Then, the vertex is (-7/2, -57/4) and the axis is -7/2.

7 0

11 months ago

Last one :D please look at the picture:)

puteri [66]

Answer:

16 i think

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Ashley ran from home to school in 10 minutes. What is her average speed, if the distance between her house and her school is 1.5

wel

(.15 miles / 1 minute) * (60 minutes / 1 hour) = 9 miles / hour

6 0

3 years ago