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Olegator [25]
3 years ago
11

F(x) = x2. What is g(x)?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

C

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Select the quadratic that has the roots x=8 and x=-5
mart [117]
The quadratic that has the roots x=8 and x=-5 is 
x^2-3x-40

Hope this helps you! (:
-Hamilton1757
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3 years ago
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Use the rule for y= -6x +8 to find the output if the input is x=20
lisov135 [29]

Answer:

The output of the function y = -6x + 8 when the input is x = 20 is -112.

Step-by-step explanation:

y = -6x + 8

Input the value x = 20.

y = -6(20) + 8

Multiply -6 and 20.

y = -120 + 8

Add -120 and 8.

y = -112.

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3 years ago
A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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The Davis family has five children and one dog. Claudia is 5 years older than Nicki. Nicki's twin brother, Hunter, is 12 years o
Juli2301 [7.4K]
Nicki:x (12) 
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Philip:(x-10)+3=x-7 
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Sara:4

5 0
3 years ago
Jason spent half of his allowance going to the movies. He washed the family car and earned seven dollars. What is his weekly all
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13-7=6
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