All categories

4 years ago

Please Help Me =(

Mathematics

1 answer:

Marianna [84]4 years ago

5 0

Answer:

-21 = slope

-69 = intercept

Step-by-step explanation:

Given the function :

f(x) = - 7x +. 9

Suppose you add 2 to the input of f to create a new function g,

Add 2 to the input of f to create g

g(x) = f(x + 2) = 7(x +2) + 9

g(x) = 7x + 14 + 9

g(x) = 7x + 23

then multiply the output of function g by –3 to create function h.

h(x) = - 3(g(x)) = - 3(7x + 23)

h(x) = - 21x - 69

What are the slope and y-intercept of the graph of function h?

The slope and y intercept are :

From y = mx + c ; comparing the relation ;

Where m = slope ; c = intercept

m = - 21 = slope

c = -69 = intercept

You might be interested in

Karla sold a bicycle on e-store for $97.50. this selling price represented a 30% profit for her, based on what she had originall

kotykmax [81]

x + 30% x = 97.5 $

x+ 0.3 x = 97.5

x(1+0.3) = 97.5

1.3 x = 97.5

x= 97.5/ 1.3= 75 $ its original price

3 0

3 years ago

Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and

blagie [28]

Answer:

Step-by-step explanation:

Alright, lets get started.

Tomas has four pieces of wood having each length = 5, 4, 6 and 3

The length of wood he needs to cut to make a model airplane = $\sqrt{11}$

Simplifying, it is 3.32 feet long

Means he needs more than 3 feet but less than 4 feet of wood piece.

So, he should select 4 feet length of wood because selcting 3 feet will not fulfilled to make his model and selcting 5 and 6 feet will have more unused wood.

4 feet piece of wood he should cut to have the least amount of unused wood. : Answer

Hope it will help :)

4 0

4 years ago

A random sample of computer startup times has a sample mean of x¯=37.2 seconds, with a sample standard deviation of s=6.2 second

juin [17]

Answer:

95% of the data lies between 24.8 and 49.6

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3

standard deviations of the mean for a normal distribution.

- 68% of the data falls within one standard deviation.

- 95% of the data lies within two standard deviations.

- 99.7% of the data lies Within three standard deviations

- The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- A random sample of computer startup times has a sample mean of

μ = 37.2 seconds

∴ μ = 37.2

- With a sample standard deviation of σ = 6.2 seconds

∴ σ = 6.2

- We need to find between what two times are approximately 95%

of the data

∵ 95% of the data lies within two standard deviations

∵ Two standard deviations (µ ± 2σ) are:

∵ (37.2 - 2 × 6.2) = 24.8

∵ (37.2 + 2 × 6.2) = 49.6

∴ 95% of the data lies between 24.8 and 49.6

* <em>95% of the data lies between 24.8 and 49.6</em>

3 0

3 years ago

The population of Baltimore was 520,000 in 2000. Now its 750,000. What was the change in population? What was the precent of cha

wariber [46]

The change is 230,000 people.

4 0

3 years ago

Read 2 more answers

GEOMETRY HEEEELLLLP!<br><br> please explain the steps.

Naddika [18.5K]

Hi! So in this you use the Pythagorean Theorem. In triangle CBD, you would do 6^2 + 4.2 ^2 = y ^2. You take the square root of that answer to get the dumber. Then, you would have 2 sides for triangle CAD, so you could just do it again, getting the answer for X. I hope that helps. I don’t know if that is how you are learning it or not, but that is a way to solve.

8 0

3 years ago