Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3

Answer:

Step-by-step explanation:

6x + 5 = 4x + 45

6x - 4x = 45 - 5

2x = 40

x = 20

6x + 5 = 6.20 + 5 = 125°

Answer:

Step-by-step explanation:

Answer:

57.142%

Step-by-step explanation:

28-12=16

16/28*100=57.142%

You want to simplify ? or just find the value ?

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

Answer:

5/16

Step-by-step explanation:

Im guessing your asking for the recipricol of 3 1/5

Turn to improper fraction, 16/5

recipricol means to flip so it's 5/16

Answer:

4 better inbox

Step-by-step explanation:

29293

Step-by-step explanation:

yes yes !!

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day! - I know I answered this elsewhere, I saw it twice haha

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Write the correct order of the letters to the finish line

(1)

Multiply both sides by 3

y = 4 * 3

Simplify 4 * 3 to 12

y = 12

(2)

There are two possibilities for both z & n.

Solving for z:

add 6 to both sides

2n = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by n

z = 14/n

Solving for n:

add 6 to both sides

zn = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by z

n = 14/z

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

Answer:

t=744

Step-by-step explanation:

t/3+t/2-350=270 add 350 on both sides

t/3+t/2=620 convert both fractions containing t into a fraction with a common base

2t/6+3t/6 = 620 add the fractions containing t

5t/6=620 factor out the 5

5*(t/6)=620 divide both sides by 5

t/6=124 multiply both sides by 6 (note, you could have just divided 620 by 5/6 on both sides, or multiplided both sides by 6/5)

t=744

Answer:

30 dollars.

Step-by-step explanation:

What is 28 closer to? 20 or 30?

He would have to pay 30$, and would get 2 dollars back in change.

I hope this helped at all.

Answer:

a)300 quarts per hour

b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters

Step-by-step explanation:

a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour

b)1 quart is .946liters

using that conversion we get that 5 quarts is ≈4.73 litera

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

Answer: b would be the answer

Step-by-step explanation:

Answer:

The slope of this line is 1/4

Step-by-step explanation:

this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.

Answer: 3 over 12 or 1 over 4

Step-by-step explanation:

From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others

Answer:

27/100

Step-by-step explanation:

27%= 0.27= 27/100 which cannot be reduced

Answer:

27/100

Step-by-step explanation:

27% = 27/100

Answer: D does not represent a function.

Step-by-step explanation: I hope this helps you out.

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

Answer: (5/12)m

Step-by-step explanation: hope this helps (～﹃～)~zZ

Answer:

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

The volume is

V = (4/3)πr^3

At r = 4":

A = 64π in^2

V = 85.3π in^3

At r = 5" (a 25% increase in r)

A = 100π in^2  (a 156.25% increase)

V = 167π in^3  ( a 195.8% increase)

We can show the ratio of these two measures by dividing the Volume by the Area:

V/A = ((4/3)πr^3/(4πr^2))

V/A = (1/3)r

For the 2 examples (4" and 5"), V/A is:

4":  (85.3π in^3)/(64π in^2) = 1.33   [(1/3)r = 4/3 = 1.33]

5":  (167π in^3)/(100π in^2) = 1.67   [(1/3)r = 5/3 = 1.67]

V/A = (1/3)r

Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.

Work Shown:

[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]