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3 years ago

Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=

Mathematics

2 answers:

Vikki [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Ray Of Light [21]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

<u>A vertical stretch by a factor of 3 of the graph of f(x) will result in:</u>

g(x) = 3 f(x)

<u>This gives us:</u>

g(x) = 3( |x| - 5) = 3|x| - 15

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Rain is flowing into two containers at

9966 [12]

Given:

Volume of water in each container.

To find:

Difference in the rate of change.

Solution:

Take any two points on container 1.

Let the points are (10, 2) and (20, 4).

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{4-2}{20-10}$

$$m=\frac{2}{10}$

$$m=\frac{1}{5}$

Rate of change for container 1 is $\frac{1}{5}$ .

Take any two points on container 2.

Let the points are (5, 2) and (10, 4).

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{4-2}{10-5}$

$$m=\frac{2}{5}$

Rate of change for container 2 is $\frac{2}{5}$ .

Difference = $\frac{2}{5}-\frac{1}{5}$

$$=\frac{1}{5}$

The difference in the rate of change between the two containers is $\frac{1}{5}$ gallon per minute.

3 0

3 years ago

Which of the following is the equation written in logarithmic form?

BaLLatris [955]

Given the expression $b^{3c+1}=5a-d.$

Take a logarithm $\log_b$ from both side of the given expression:

$\log_b b^{3c+1}=\log_b (5a-d).$

From the property $\log_a a^x=x,$ you have that

$\log_b b^{3c+1}=3c+1.$

Then

$3c+1=\log_b (5a-d).$

Answer: correct choice is C

6 0

3 years ago

3 teachers for 63 students; 7 teachers for 147 students are they equivalent?

Luda [366]

Yes, they are! If you divide 63/3 you get 21, and if you divide 147/7 you get 21!:)

3 0

3 years ago

Which relation is a function?

tamaranim1 [39]

Answer: The answer C the one in the botton the one that has the arrow Up

Step-by-step explanation:

6 0

3 years ago

Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

wel

Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------

5 0

3 years ago