Mathematics High School

The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a tire company, where x is the number of tires produced, in thousands:

graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero

If the company wants to keep its profits at or above $75,000, then which constraint is reasonable for the model?

−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Answers

Answer 1

Answer:

1.12 ≤ x ≤ 34.18

Step-by-step explanation:

____________

Answer 2

Answer:

The other person is correct. This will keep the companies profit above 75,000, because 1.12 < x < 34.18 goes past 75,000, and does not allow the profit to become less than.

Step-by-step explanation:

Related Questions

Sydney buys a new car for $24,000 and finances the car for 5 years at 2.5% interest compounded yearly. She estimates that the value of the car will decrease by 16% each year. If Sydney is able to sell the car on the day of her last car payment for the value she estimated, how much money will she have spent over the 5 years?

Answers

Answer:17,117

Step-by-step explanation:

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Answer:

It's the second one, two independent clauses connected by a conjunction

You already know I really don’t have to explain myself

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Answer:

Step-by-step explanation:

Eddie needs to paint a fence which has 10,000 square feet of surface. One gallon of paint covers 600 square feet.
How many whole gallons of paint will he need?

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Answer:

Step-by-step explanation:

10000/600=16.67

Based on the table,what is the volume,in litters,of sample 2?

Answers

0.65 / 0.5 = 5.2 / ?

1.3 = 5.2 / ?

? = 5.2 / 1.3

? = 4 Liters

What is the domain of the function

Answers

Answer:

third answer is correct

Step-by-step explanation:

estimate a 15% tip for a 19.80 meal.

Answers

the tip would equal $ 2.97.

19.80 x 0.15 = 2.97

Answer:

$3.00

Step-by-step explanation:

The tip would equal to $2.97 so the answer is $3.00 that is your estimate

Blaine's take-home pay is $2,500 each month, and he has created a monthly budget to become more aware of where his money goes. His budget is shown below. Blaine finds that he can join a cheaper gym for $40/month, reduce his spending money to $200, and find a phone and internet package for $175. How much will these choices save him each month?

Answers

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

Find the slope between:
(-3,5)
(1,-1)

Answers

The slope of these points are -3/2.

find the product.
enter your answer in simplest form.

6x2/3 = _=_

Answers

Answer: 4

Step-by-step explanation:

6 • 2/3 =
12/3 =
4

A secretary works a 35-hour week for which she is paid $262.50. If in a particular week she works 6 hours overtime on Saturdays which is paid for at time - and - a - half and 4 hours overtime on Sunday which is paid for a double time. calculate her gross wage for that week

no links please

Answers

Answer:

$390

Step-by-step explanation:

262.50/35 = 7.5 per hour during normal week

Saturdays 11.25 per hour

Sundays 15 per hour

6x11.25 = 67.5

4x15=60

262.50 +67.5 +60 = 390

What is the circumference of the circle? d=44in

Answers

Answer:

138.23 in

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

138.16

Step-by-step explanation:

Diameter times pi gives you circumference. I used 3.14

Can someone help me do this like the equation?!.

Answers

Answer:

36$

Step-by-step explanation:

which set of anges can form a triangle

Answers

So, any set of three angles that add up to 180 degrees can form a triangle

Answer:

I didn't understand this but I can give you this info

Sum of all angles in a triangle = 180°

Plz help me with these 2 questions

Answers

9514 1404 393

Answer:

C = πd = 2πr

1. C = 18.84 m

2. C = 43.96 ft

Step-by-step explanation:

The formula to find the circumference is C = πd = 2πr.

1. C = 2π(3 m) = 6π m = 6(3.14) m = 18.84 m

2. C = πd = (3.14)(14 ft) = 43.96 ft

a cylindrical tinfull of engine oil has a diameter of 12cmand the height of 14cm.the oil is poured into a rectangular tin 16cm long and 11cm wide,what is the depth of the oil in the tin?

Answers

Find the volume of the cylinder using the formula v = pixr^2 x height

V= 3.14 x 6^2 x 14 = 1,582.56 cubic cm

Area of of the rectangle = 16 x 11 = 176 square cm

The height will be the volume divided by the area

Height =1582.56/176 = 8.99 cm

The height is 8.99 cm ( round off as needed)

Find the following trigonometric values,rounded to 4 decimal places: 1) tan45. 2)sin70. 3) cos30. 4) cos20

Answers

1) Tan45 = 1
2) Sin70 = 0.9397
3) Cos30 = 0.8660
4) Cos20 = 0.9397

x) sec’A + cosec?A
secA. cosecA

Answers

Answer:

(Sin A + Cos A)/Sin A. Cos A

Step-by-step explanation:

As we know

Sec A = 1/Cos A

and Cosec A = 1/Sin A

Given Equation

Sec A + Cosec A

Substituting the given values, we get -

1/cos A + 1/Sin A

(Sin A + Cos A)/Sin A. Cos A

What is -11 2/3x(-4 1/5)

Answers

Answer:

49x

Step-by-step explanation:

Answer:

-49x

Step-by-step explanation:

-11 2/3x (-4 1/5)

= -49x

The value of the square root of 25+144 is 13. True or false

Answers

It is true. The Square root of 169 (25 + 144) is 13. 13×13 is 169

Answer:

true i tested it out myself.

Step-by-step explanation:

Which of these are factors of 16?
In geometry

Answers

Answer:

in geometry to find the factors of 16 we have to find numbers that can divide and without a number remaining 1,2,4

Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?

Answers

Answer:

its b

Step-by-step explanation:

The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round your answer to the nearest tenth

Answers

Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the storage container would be defined by the volume of the shape; a hemisphere

The volume V of a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

Identify the slope of the line
y=-4- 1/6x

Answers

y=mx+b
y=-1/6x-4
slope= -1/6

what is the answer to my problem

Answers

Please provide more context for our brains to understand your problem (: thank you!

please help with this one

Answers

Answer:

1st and 2nd to last

Step-by-step explanation:

Answer:

x< -3 is correct answer...........

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

I need some help plz

Answers

Answer:

B : both containers are 50

Step-by-step explanation:

Since water in container 2 is in higher temp, it will transfer some of its heat to container 1 until both the containers reach same temperature. This is the concept of equilibrium that mother nature abides by.

The topic is about secant tangle anges

Answers

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

CODES Use the following information to solve. A bank gives each new customer a 4-digit code number which allows the new customer to create
their own password. The code number is assigned randomly from the digits 1, 3, 5, and 7, and no digit is repeated.
• What is the probability that the code number will start with 371?
a 1/3
b 1/4
с 1/12
d 1/24

Answers

Answer: D) 1/24

=============================================================

Explanation:

There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.

If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715

We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)

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