1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sattari [20]
3 years ago
9

Given g(x) = −3x + 4

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

You might be interested in
• The manager of a bookstore uses the equation 8 = p - 3.5 to find the price a student pays for a book.
Ivahew [28]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Plzplz will make bianleast Find the volume in cubic meters.
galben [10]

Answer:

0.000005832 m³

Step-by-step explanation:

V = L²

= (18mm)³

= 5832 mm³

= 0.000005832 m³

8 0
3 years ago
Read 2 more answers
6. A sign in a bakery gives these options:
grigory [225]

Answer:

1. $0.48

2. $0.52

3. $0.53

Step-by-step explanation:

12/ $25

24/$46

50/$94

hope this helps

7 0
2 years ago
Read 2 more answers
Which of the following is an example of an improper fraction?
sergey [27]
Improper fractions are called such because the numerator is greater than the denominator. The only way it can be simplified is through a mixed fraction.

c) 10/3 is the improper fraction.

10/3 is simplified into 3 1/3.
6 0
3 years ago
Need help finding the parallel and perpendicular slope
Rudik [331]

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4)   & (x₂ ,y₂) = (17, -20)

Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = \frac{-1}{m}

Perpendicular slope = \frac{-1}{8}

8 0
3 years ago
Other questions:
  • How do I find the answer
    12·2 answers
  • How do i solve question 25
    9·2 answers
  • ray ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show
    7·1 answer
  • 6x+17&gt;5(2x+1) solve for inequality
    14·1 answer
  • Simplify this and show your work :
    14·1 answer
  • Find CD<br> CD = [? ]<br><br> please help??
    5·2 answers
  • What is the solution to the equation 9 –3x ≈ 7 ?
    7·1 answer
  • If the mean of symmetrical distribution is 28, which of these values could be the median of the distribution.
    15·1 answer
  • Kevin is taking a two-part test in social studies
    7·1 answer
  • What is a correct name for ange 5?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!