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podryga [215]
3 years ago
5

Diego plays center forward on his soccer team. On average, he scores 1.25 goals per match. The tally of his total goals for the

season is given by function f(x) = 1.25(38 − x), where x is the number of matches he plays. What is the inverse of the given function?
Mathematics
1 answer:
masya89 [10]3 years ago
3 0
F(x) = 1.25(38 - x)

Finding the inverse of a function:
y = f(x)

y = 1.25(38 - x)

Solve for x:
y = 1.25(38 - x)
y/1.25 = 38-x
x = 38 - y/1.25

Switch x and y.

y = 38 - x/1.25

f^-1(x) = 38 - x/1.25

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ArbitrLikvidat [17]
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6 0
2 years ago
HURRY PLEASE!!I WILL GIVE BRAINLIEST
Irina18 [472]

Answer:

Step 1 = 9\sqrt{3}

Step 2 = 4

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Step-by-step explanation:

8 0
2 years ago
Find a cubic function with the given zeros.
Fed [463]

Answer:

The correct option is D) f(x) = x^3 + 2x^2 - 2x - 4 .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x + 4 .

f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 + 2x - 4 .

f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 - 2x^2 - 2x - 4 .

f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0

Now check for other roots as well.

Substitute x=√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0

Substitute x=-√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0

Therefore, the option is correct.

8 0
3 years ago
3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6
sp2606 [1]
Welcome :)
==========

4 0
2 years ago
Read 2 more answers
Help on this please?
Anna [14]

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

---------------------------------------------

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

-----------------------------------------------

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

7 0
3 years ago
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