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Kaylis [27]
3 years ago
9

F(x)=x and g(x)=f(6x)

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

number one:....1

number two : 6fx

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What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
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Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

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Answer:

The triangle is a right triangle.

Step-by-step explanation:

Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256

Therefore, the triangle is right.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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