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
nalin [4]
3 years ago
7

Given f(x) = –7x + 9 and h(x) = –5(–7x + 9), what are the slope and y-intercept of the graph of function h?

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

h(x): Slope(m) = 35, Y-intercept(c) = -45

f(x): Slope(m) = -7, Y-intercept(c) = 9

Step-by-step explanation:

We are given the functions in the question:

f(x) = -7x + 9\\h(x) = -5(-7x + 9)

We have to find the slope and y-intercept of the graph of function h(x).

First we simplify h(x)

h(x) = -5(-7x + 9)\\h(x) = -5(-7x) + (-5)(9)\\h(x) = 35x -45

Comparing the equation to the point slope form of the straight line, we have,

y = mx + c

where m is he slope of line and c is the y-intercept that is the value of y when x is zero.

Comparing, we get,

Slope, m = 35

Y-intercept, c = -45

For function f(x), we have

Slope, m = -7

Intercept, c = 9

taurus [48]3 years ago
4 0

The Slope of f(x) = –7x + 9  is (-7)

The slope of  h(x) = –5(–7x + 9) is (35)

The y-int of h(x) is (-45).

You might be interested in
The gross domestic product (GDP) of a certain country, which measures the overall size of the economy in billions of dollars, ca
DiKsa [7]

Answer:

The estimated GDP in 2007 is 12782 billion dollars.

The estimated GDP in 2011 is 15010 billion dollars.

The estimated GDP in 2012 is 15567 billion dollars.

Step-by-step explanation:

Consider the provided function.

g(y) = 557y +8883

Where y = 10 corresponds to the year 2010.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2007.

If y = 10 corresponds to the year 2010 then y = 7 corresponds to the year 2007.

Substitute the value of y = 7 in the provided function.

g(y) = 557(7) +8883

g(y) = 3899+8883

g(y) = 12782

Hence, the estimated GDP in 2007 is 12782 billion dollars.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2011.

If y = 10 corresponds to the year 2010 then y = 11 corresponds to the year 2011.

Substitute the value of y = 11 in the provided function.

g(y) = 557(11) +8883

g(y) = 6127+8883

g(y) = 15010

Hence, the estimated GDP in 2011 is 15010 billion dollars.

Part (C) Estimate the GDP (to the nearest billion dollars) in 2012.

If y = 10 corresponds to the year 2010 then y = 12 corresponds to the year 2012.

Substitute the value of y = 12 in the provided function.

g(y) = 557(12) +8883

g(y) = 6684+8883

g(y) = 15567

Hence, the estimated GDP in 2012 is 15567 billion dollars.

4 0
3 years ago
HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy whic
saul85 [17]

Answer:

35 percent

Step-by-step explanation:

To solve this problem we multiply the amount by the percent and add them up to get the total amount times the percent

amount * percent + amount * percent = total amount * percent

4  * .20 + 12  * .40 = (4+12) * x

.8 + 4.8 = 16 x

Combine like terms

5.6 = 16x

Divide by 16

5.6/16 = 16x/16

.35 =x

35 percent


4 0
3 years ago
What is the difference between these two expressions?
mariarad [96]

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

5 0
3 years ago
Read 2 more answers
A spool with 18 feet of ribbon will be cut into 8-inch segments. how many 8-inch segments can be cut from the spool of ribbon?
Kobotan [32]

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

4 0
2 years ago
Read 2 more answers
Area of a regular decagon with side length of 8in
Scrat [10]

Answer:

492.43in²

Step-by-step explanation:

I might be wrong.

4 0
3 years ago
Other questions:
  • Which net represents this solid figure? <br> plz hurry
    15·2 answers
  • What is the slope of the line passing through the points (0, 4) and (-8, -1)?
    10·2 answers
  • 4/3b - 11 = 25<br><br> Help solve
    7·1 answer
  • Rob bought 12 cucumbrrd for 17.28 what is the cost of 1 cucumber
    8·1 answer
  • I have no idea what to do
    13·1 answer
  • A survey of 898 U.S. VCR owners found that 16% had VCR clocks that were currently blinking “12:00.” (Source: Wirthlin Worldwide)
    8·2 answers
  • a peanut company offers two different size cases containing some bags of almonds and some bags of peanuts. a small case contains
    10·1 answer
  • Can someone help me on this math problem PLEASE
    13·1 answer
  • Calculate the answer, express it in scientific notation.
    8·1 answer
  • 1/6+3/6=4/12 what's wrong
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!