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notsponge [240]
2 years ago
10

F(x) = (two-fifths) Superscript x g(x) = (two-fifths) Superscript x – 3 Which statement about f(x) and its translation, g(x), is

true? The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}. The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}. The asymptote of g(x) is the asymptote of f(x) shifted three units down. The asymptote of g(x) is the asymptote of f(x) shifted three units up.
Mathematics
2 answers:
insens350 [35]2 years ago
8 0

C .) The - 3 at the end of the function means the function is shifted down 3 units. This also shifts the asymptote down 3 units.

GalinKa [24]2 years ago
6 0

Answer:

C

Step-by-step explanation:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

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Which equation represents this number sentence? Two more than one-third of a number is 8
Natali [406]

Answer:

B. 2+\frac{1}{3}n=8

Step-by-step explanation:

Let n be the number.

We are asked to write an mathematical expression for the given word phrase.

One third of a number, n, would be \frac{1}{3}n.

Two more than one third of a number, n, would be 2+\frac{1}{3}n.

We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:

2+\frac{1}{3}n=8

Therefore, option B is the correct choice.

8 0
2 years ago
Read 2 more answers
A researcher wants to compare the effect of a new type of shampoo on hair condition. The researcher believes that men and women
cupoosta [38]

Answer:

This experiment has three factors (shampoo type, gender, whether hair is dyed)

Step-by-step explanation:

the researcher is trying to make a comparison between an old shampoo and a new on and also was gender sensitive as she considers their hair coloration too because it affects the result slightly.

8 0
2 years ago
When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?
stira [4]
Note that (5π)/6 radians = 150°. Therefore the given angle is in quadrant 2.

Refer to the figure shown below.

Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2,  sin θ' = 1/2,  tan θ' = √3.

Because we are in quadrant 2,
  sin θ' = π/6;
  sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.

 Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.

3 0
2 years ago
Read 2 more answers
Which function will have the steepest graph? y = –2x y =-1/2 x y = 3/2x y =5/2 x
timofeeve [1]
The steepest graph is gonna have the largest slope....but u have to use the absolute value of the slopes to compare

y = -2x.....slope is -2....| -2 | = 2
y = -1/2x...slope is -1/2....| -1/2 | = 1/2
y = 3/2x....slope is 3/2 (or 1 1/2)...| 1 1/2} = 1 1/2
y = 5/2x...slope is 5/2 (or 2 1/2)...| 2 1/2| = 2 1/2

so the steepest graph is : y = 5/2x
4 0
2 years ago
Read 2 more answers
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and can
jek_recluse [69]

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

6 0
2 years ago
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