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2 years ago

1

Mathematics

1 answer:

IgorC [24]2 years ago

5 0

Answer:

g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

The parent function is:

f(x).

The child function is:

$g(x) = f(x+4) - 6$

Transformation 1:

$g(x) = f(x+4)$

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.

Transformation 2:

$g(x) = f(x+4) - 6$

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:

g(x) is shifted 4 units left and 6 units down from f(x).

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Lane invests $7,000, at 7% interest, compounded annually for 22 years. Calculate the compound interest for his investment.

amm1812

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3 years ago

Which of the following statements is true

Anettt [7]

Answer:

c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

a. This quadratic equation has exactly one real solution.

b. This quadratic equation has two real solutions.

c. This quadratic equation has two complex solutions.

d. This quadratic equation has no solutions.

The one that is true is <em>c: two complex solutions</em>.

The discriminant of quadratic ax^2 +bx +c = 0 is ...

d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

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2 years ago

11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?

Tanya [424]

If you’re solving for x, it’s x= 17/2 - y
If you’re solving for y, it’s y= 17/2 - x

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3 years ago

Solve for x. Round to the nearest tenth. Please help

Studentka2010 [4]

Answer:

answer is 64x68

Step-by-step explanation: