Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function
p() = 45 +35x, where x represents the time, in hours, that the plumber used to complete the job.
Mr. Barnes budgeted $220 to pay the plumber for the job.
After how many hours will the cost of the job exceed Mr. Barnes's budget?

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

[tex]f(x)=-2x^2-3x-8[/tex]

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]

And:

[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Calculate the slope:

[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

Answer:

x>−7

Step-by-step explanation:

55−6>−7x

49>−7x

−

​7

​

​49

​​ <x

−7<x

x>−7

Answer:

F(x) = 17.9

Step-by-step explanation:

Plug in x. 3(4.3) + 5 = 17.9

Answer:

I think A

Step-by-step explanation:

The correct explanation for the number 3 will be;

⇒ the number of seats at each table.

Option A is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is;

⇒ 3t + 15

Where, t represent the individual tables.

And, The expression represents the total number of seats in the restaurant.

Now,

Since, 't' represent the individual tables.

Hence,

3t = Number of tables for 3 seats

Clearly, 3 represent the number of seats at each table.

Therefore,

The correct explanation for the number 3 will be;

⇒ the number of seats at each table.

Option A is true.

Learn more about the expression visit:

https://brainly.com/question/16583268

#SPJ2

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

[tex]y = mx+b[/tex]

We can substitute the points we know:

→ (0,4):

[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]

→ (-3,0):

[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]

So, the line equation in form requested is:

[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

ok so the odd one out is A) the measure of <ahd is 30°

Step-by-step explanation:

external angle is equal to the sum of the two interior angles on the opposite side

3x= x +15 +x +15

3x=x+x+15+15

3x= 2x +30

3x-2x= 30

x = 30

Answer:  

470

Step-by-step explanation:

Replace x with 10:  470

5(10)(10 - 3( = 500 - 30 = 470

470

Ok, this one is really easy your domain is all the x values and the range is all of the y values.

Thus, here is your answer...

Domain → { -2, -1, 0, 1 }

Range → { 0, 2, 4, 6 }

Answer:

x=6

Step-by-step explanation:

2x=12 simplify and subtract

x=6

Answer:

cool

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

vfgchgcbgjvygfcb

Answer:

8 divided by 6/7. I will give you the answer in fraction form and in decimal form. 56/6 can be simplified to 28/3. 28/3 is an improper fraction and should be written as 9 1/3.

Step-by-step explanation:

You add 3+5 together and then divide. After that you simplify your answer

Hope this helped, Have a Great Day!!

Answer:

Across

5 across: percent of change

6. Ratio

7. Decrease

Down.

1. Percent

2 interest

3 proportion

4 sales tax

Step-by-step explanation:

Answer:

Step-by-step explanation:

11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction

hope this helps

Answer:

11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.

Step-by-step explanation:

Answer:

d=-124

Step-by-step explanation:

To find the discriminant use the equation b^2-4ac

So, 20^2-4(-131)(-1)

400-524= -124

d=-124

Answer:

1

Step-by-step explanation:

Answer:

32.14 an hour

Step-by-step explanation:

Answer:

32.142857 miles per hour

Step-by-step explanation:

This is the answer because:

This is a fraction equal to

225 miles ÷ 7 hours

We want a unit rate where  1 is in the denominator,  so we divide top and bottom by 7 .

225/7 = 225/7 and 7/7 =  32.142857/1

Therefore, the answer is  32.142857 miles per hour.

Hope this helps!

Answer:

[tex]w=250+50m[/tex]

Step-by-step explanation:

Number words Nebi has typed = 250

t = Duration of typing = 3 minutes

Number of words typed in 3 minutes = 150

Rate of typing in 3 minutes

[tex]\dfrac{150}{3}=50\ \text{words/minute}[/tex]

So the linear equation representing the situation would be

[tex]w=250+50m[/tex]

Where

w = Number of words

m = Number of minutes after starting the timer

The linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

Given:

Words already typed = 250 words.

Words typed in 3 minutes = 150 words

Words typed per minute = 150 words / 3 minutes

= 50 words per minute

w = Total words typed

m = number of minutes

The equation:

Total words typed = Words already typed + (Words typed per minute × number of minutes )

w = 250 + (50 × m)

w = 250 + 50m

Therefore, linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

Read more:

https://brainly.com/question/16450098

Answer:

each boy will get 26 pieces of chocolate

Answer:

The boys got 26 pieces of chocolate (gender inequality, lol)

Step-by-step explanation:

52 x 34 = 1768

26 x 36 = 936

1768 - 936 = 832

832/32 =

Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8

You did not add the attachment for this question to be answered. I have added it

Answer:

0.5333

Step-by-step explanation:

We have

P(faculty) to be the probability of faculty being selected

= 70/300

= 0.233333333

We also have

P(favor) to be the probability of being in favor of this proposal

= 135/300

= 0.45

In answer to this question,

The required probability

= P(faculty) + p(favor) - p(faculty n favor)

p(faculty n favor) = 45/300

= 0.15

Probability = 0.233333333 + 0.45- 0.15

= 0.5333 approximately

Answer:

75*1.05 = $78.75

Step-by-step explanation:

You can just multiply by 1.05 or go the long route and divide by 100 and multiply by 105.  

Answer:

Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?

:)

Answer: c

Step-by-step explanation:

Answer:

the answe is a

Step-by-step explanation:

Answer: 180

Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.

Answer:

false. slope is calculated by rise over run

Answer:

FALSE

Step-by-step explanation:

Slope is known as the RISE OVER RUN.

Can I get brainliest? Plz!!!

Answer: $ 200

Step-by-step explanation:250 * 0.20 = $50 sale

250 - 50 = $200