How to make an equation for unit rate

Evaluate the difference quotient for the given function. Simplify your answer.

hammer [34]

Answer:

-2-h

Step-by-step explanation:

It doesn't hurt to follow directions.

$q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}$

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Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.

5 0

3 years ago

Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00,

lions [1.4K]

The function f(x) = 6^(x)-2 has an x-intercept at approximately <span>(0.39, 0)
              f(x) = 0 = 6^(x) - 2
                        2 = 6^(x)
       log(2)/log(6)= x
                          x = 0.3868 = 0.39</span>
The answer to this question is A) (0.39, 0).

6 0

3 years ago

Find the value of x will give you five stars pls answer ASAP

maw [93]

Answer:

A - x=13

Step-by-step explanation:

Pythagorean theorem

base is 5 (10/2)

height is 12

5^2 + 12^2 = c^2

25 + 144 = 169

c = 13

8 0

3 years ago

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

4 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$