a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $50 per hour, and they have an income of $80 per hour. How many hours will it take for this business to recover the costs from the upgrades, and how much income will they have brought in by then

Answer:

C.  g(x)=3√x+4+3

Step-by-step explanation:

g(x) shift left 4, shift up 3, with no compression or stretch.

a=1

h=-4

k=3

The function f(x) after the transformation can be written as -

g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that function g(x) is a transformation of the cube root parent function f(x) = [tex]$\sqrt[3]{x}[/tex].

The function f(x) is shifted up by three units and left by 4 units. So, we can write the rule for the function transformation as -

g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]

Therefore, the function f(x) after the transformation can be written as -

g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]

To solve more questions on functions, visit the link below-

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Answer:

correct answer to the problem is x= -9

Joe answered correctly.

Answer: nick

Step-by-step explanation: subtract 6 from both sides to get 0 on one side and then divide both sides by 2 to get x on its own

Answer:

When y=7,9 the answer is yes when it = -10,-8 the answer is no.

Step-by-step explanation:

Simple substitution gets us the resulting values. for y=7 we get [tex]15\geq 15[/tex] which is true. For y=9 we get [tex]19\geq 15[/tex] which is also true. For the other values we get a negative number which is not a solution.

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

Answer: Use the distributive property to multiply 3 by y−4.

3y−12−2(y−4)

Use the distributive property to multiply −2 by y−4.

3y−12−2y+8

Combine 3y and −2y to get y.

y−12+8

Add −12 and 8 to get −4.

Anwser:

y−4

Step-by-step explanation:

Hope this helps!

Answer:

D. 5x - 1

Step-by-step explanation:

To solve this, you need to add together f(x) and g(x)

f(x) + g(x) = (3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

The answer is 5x - 1

Answer:

5% of $5.00

[tex] \frac{5}{100} \times 5.00[/tex]

[tex] = \frac{1}{4} [/tex]

Answer:

The slope for number 4 is 5/-4 and for number 6 is 4/1

Step-by-step explanation:

5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4

4/1: again it's rise over run so you have to go up (positive)  4 and right one (positive)

Answer:

hello

are you army

who is your bias

Answer:

its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

Answer:  If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.

Step-by-step explanation:

Hope this helps!

Answer:

0.2km/min or 12.7km/hour

Step-by-step explanation:

speed = distance ÷ time

speed = (10km + 8km) ÷ (45 mins + 40 mins)

= 18 ÷ 85

= 0.21176...km/min ≈ 0.2km/min

To convert 0.21176...km/min into km/hr, you multiply by 60

0.21176...km/min × 60 = 12.70588...km/hr ≈ 12.7km/hr

Answer:

how much is 1 gram of raisins worth in money

Step-by-step explanation:

Answer:

How much of 1 gram of raisin was worth in money

[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]

The slope is -1/6

Answer:

$3.66

Step-by-step explanation:

5.00-2.00 = 3.00

0.95-0.29 = 0.66

3.00 + 0.66 = $3.66 which is the answer

Ok,so:

We don’t need the $ sign now.

So.

1. 5.95 -2.29 which is 3.66!

5 - 2 is 3, and 0.95 - 0.29 is 0.66.

So now add :3 + 0.66 is 3.66

So $3.66!

Hope this helped!

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

Answer:

under what topic is this?

Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866

Given the Parameters :

Zscore = (X - μ) ÷ σ

Zscore = (115 - 100) ÷ 15

Zscore = 1

Using a normal distribution probability ;

P(Z ≥ 1) = 1 - P(Z ≤ 1)

P(Z ≥ 1) = 1 - 0.84134

P(Z ≥ 1) = 0.15866

Therefore, the probability is 0.15866

Learn more :https://brainly.com/question/8165716

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

In essence, we can represent the information as;

To find the slope of the equation; we have;

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

Read more:

https://brainly.com/question/6497976

9514 1404 393

Answer:

  20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

  20 -x . . . . miles per hour

Answer:

x = 9

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

Step 2: Divide both sides by 3.

Step 3: Check if solution is correct.

Therefore, x = 9.

Answer:

The average of all 5 numbers is  9

Step-by-step explanation:

Two of the numbers average 12. That means that their total is 2*12 = 24

Three of the other numbers average 7. That means that their total is 7*3 = 21

The total score for the 5 numbers is 24 + 21 = 45

The average for all 5 numbers is 45/5 = 9

Answer

0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

c=6

Step-by-step explanation:

c+7=13

-7        -7

c=13-7

c=6

Answer:

C

A

C

Step-by-step explanation:

Answer:

a reflection over the line y=-x

Step-by-step explanation:

Answer:

how much does each box cost?

Step-by-step explanation:

Answer:

the answer is 3 I think if not than 2

Answer:

The answer to the first question is: 9 4/21

The answer to the second question is: B.) 24 14/27

I hope this helps you! :D