Answer the following question:

Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Answer:

The answer is the last option (d.)

Step-by-step explanation:

The domain is the X values and the range is the Y values.

Answer:

Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}

Step-by-step explanation:

I took the test and it was correct.

Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

20.75+43.58+30.45+29.72= 124.5

328.15-124.5=

Answer:

198

Step-by-step explanation:

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.

Answer:

a

Step-by-step explanation:

Answer:

it iss -101, -76, -48, 83, 93

Answer:

-101, -76, -48, 83 ,93, 102

Answer:

D.

Step-by-step explanation:

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Answer:

125

Step-by-step explanation:

5 cubed is literally 5 x 5 x 5

So 5 x 5 = 25

multiply 25 with 5 and you get 125 as the answer.

The Answer Is 8

Your Welcome!♠

Answer:

Step-by-step explanation:

division

Answer:

40 times 9 equals 299

Step-by-step explanation:

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

Answer:

-2 + 9i

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

Answer: k=8

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

Answer:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Step-by-step explanation:

Given

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Required

Solve

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Express 32 as 2^5 and 243 as 3^5

[tex](\frac{2^5}{3^5})^{-\frac{4}{5}}[/tex]

The exponent can be expressed as 1\5 * -4

So we have:

[tex](\frac{2^5}{3^5})^{\frac{1}{5} * -4}[/tex]

Apply law of indices:

[tex](\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}[/tex]

[tex](\frac{2}{5})^{-4}[/tex]

In indices:

[tex](\frac{a}{b})^{-c} = (\frac{b}{a})^{c}[/tex]

So, the expression becomes

[tex](\frac{5}{2})^{4}[/tex]

[tex](\frac{5^{4}}{2^{4}})[/tex]

[tex]\frac{625}{16}[/tex]

[tex]39.0625[/tex]

Hence:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

Answer:

Price of tne Vest + $40 - 1.40 = $38.6

Step-by-step explanation:

3.5% * n = $1.40

0.035 * n = $1.40

0.035/0.035 * n = $1.40/0.035

n = $40

The price of the vest not including the tax is, $40

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products

Now,

Let p = price of a vest

Hence, from the question, this equation can be formed,

⇒ 35% of p = $1.40

⇒ 0.035 x p = $1.4

divide both sides of the equation by 0.035;

⇒ p = $40

Thus, The price of the vest not including the tax is, $40

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Complete question is this;

Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%

Answer:

X=3

Step-by-step explanation:

9+x=12

x=12-9

so x is 3

Answer:

3

Step-by-step explanation:

Let's go through this together.

Step 1) Rearrange Terms (Optional)

9 + x = 12

x + 9 =12

Step 2) Subtract 9 from both sides of the equation

x + 9 = 12

   -9    -9

Step 3) Simplify

If we subtract 9 on both sides, we end up with:

x + 0 = 3

Since 0 no longer has any part in the equation, we can conclude that:

x = 3

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

Answer:

is this a question......

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]

Answer:

I think the answer (-2, 6)