All categories

3 years ago

Please help! Asap!

Mathematics

1 answer:

alex41 [277]3 years ago

6 0

ANSWER

[-4,5]

STEP BY STEP EXPLANATION

ok, so first you plug in the equation 3x+20 into the y in the equation x^2+2x

Your new equation should be 3x+20=x^2+2x

Then you subtract 2x from both sides and your new equation should be x+20=x^2

Then you subtract 20 and x from both sides and your new equation should be 0=x^2-x-20

Then you multiply a with c, which is -20 and then you get b, which is -x or -1. After that you have to find two numbers that is the product of -20 and the sum of -1, which is -5 and 4

Then it would be (x-5)(x+4)=0. You you add 5 to both sides which will be x=5 and then you subtract 4 from both sides, which will be x=-4

Then your final answer is [-4,5]

hope this helped!

You might be interested in

Find the amount of sales tax and the total cost. Complete the table below.

Lana71 [14]

Answer:

Cost of item : $6

Tax rate : 5%

Amount of tax = $0.3

Total cost = $6.30

Step-by-step explanation:

Cost of item : $6

Tax rate : 5%

Amount of tax = 5% * $6 = 0.05*6 = $0.3

Total cost = $6 + $0.30 = $6.30

5 0

3 years ago

Your team gets an ice sculpture in the shape of a basketball. It has a radius of 12

cluponka [151]

Answer:

7234.56 inches cubed

Step-by-step explanation:

V=4/3 times pi times r cubed

4/3 times 3.14 times 1728

6 0

3 years ago

What is the inverse of this function? (Function in photo)

valkas [14]

Given:

The function is

$f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3$

To find:

The inverse of the given function.

Solution:

We have,

$f(x)=-\dfrac{1}{2}\sqrt{x+3}$

Put f(x)=y.

$y=-\dfrac{1}{2}\sqrt{x+3}$

Interchange x and y.

$x=-\dfrac{1}{2}\sqrt{y+3}$

Isolate the variable y.

$-2x=\sqrt{y+3}$

$(-2x)^2=y+3$

$4x^2-3=y$

$y=4x^2-3$

Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=4x^2-3$

For $x\geq -3$ ,

$x+3\geq 0$

$\sqrt{x+3}\geq 0$

$-\dfrac{1}{2}\sqrt{x+3}\leq 0$

$f(x)\leq 0$

It means for function $f(x)\leq 0$ and for inverse function $x\leq 0$ because the range of the function is the domain of inverse function.

Therefore, $f^{-1}(x)=4x^2-3$ for $x\leq 0$ .

3 0

3 years ago

1. Which is greater 25% of 90 or 28% of 82.

rosijanka [135]

Answer:

28% of 82

Step-by-step explanation:

25% of 90 is 22.5

28% of 82 is 22.96

4 0

3 years ago

Read 2 more answers

Can anyone help me ?<br> Find the missing angle measure.

jeyben [28]

Answer:

x° = 99°

Step-by-step explanation:

The polygon is a hexagon and the sum of its internal angles is:

$180(n-2)=180(6-2)=180(4)=720^{0}$

subtract the 5 known angles:

$x^{0} =720-145-164-59-132-121=99^{0}$

Hope this helps

4 0

3 years ago