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3 years ago

Given the function f, match the function g with a transformation of f.

1 answer:

3 0

Given the function f, match the function g with a transformation of f.

f(x) = x2 + 1, g(x) = (x - 2)2 + 1

☆☆☆☆☆☆☆☆a) f(x + 2)

b) f(x) + 2

c) f(x) - 2

d) f(x - 2)

The transformation that occured was a horizontal shift to the right of all the x's.

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If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?

mart [117]

Ax-8y=15
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3 years ago

What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

$x=1$

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3 years ago

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I think the answer to this is 4 I think

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3 years ago

6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve

Elena L [17]

Hey There!

To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...

15,340-13,451= 1,889

You need to add 1,889 more seats.

Hope This helped!

Godspeed,

SongBird

8 0

4 years ago

Read 2 more answers