1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VMariaS [17]
3 years ago
13

A company finds it can produce 5 heaters for $1750, while producing 10 heaters cost $3000. Express the cost, y, as a linear func

tion of the number of heaters, x.
Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

The cost function is linear, and as such has a slope and a y-intercept.

Two points on this line are (5, $1750) and (10, $3000).  As the number of heaters produced increases from 5 to 10, the production costs increase by $1250.  Thus, the slope of this line is m = $1250/5, or m = $250/unit.

Inserting known data into the slope-intercept form of the equation of a straight line, we get:

$3000 = ($250/unit)(10) + b.  Then $500 = b, and the cost function is:

y = ($250/unit)(x) + $500.

You might be interested in
If h(x) = x-7 and g(x)
shtirl [24]

Answer:

If you would like to find the equivalent expression to (g*h)(5), you can do this using the following steps:

h(x) = x - 7

g(x) = x^2

(g*h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2

(g*h)(5) = g(h(5)) = g(5 - 7) = (5 - 7)^2 = (-2)^2 = 4

The correct result would be (5 - 7)^2.

Step-by-step explanation:

8 0
3 years ago
The polynomial -x^3-x^2+12x represents the volume of a rectangular aqautic tank in cubic feet. the length of the tank is (x+4).
Verizon [17]

Answer:

<h2>a. It should look for 3 linear factors.</h2><h2>b. There are 3 dimensions.</h2><h2>c. x = 1.7</h2><h2>d. Maximum value is 12.597</h2>

Step-by-step explanation:

a.

-x^{3} - x^{2} + 12 \timesx = -x^{3} - 4 \timesx^{2} + 3 \timesx^{2} +12 \timesx = -(x + 4) \timesx^{2} + 3 \timesx \times(x + 4) = (x + 4) \timesx \times (x + 3)

Hence the factorized form of the volume of the poly is (x + 4) \timesx \times (x + 3)

3 linear factors should needed to be look for.

b.

The 3 dimensions are (x + 4), x, (x + 3).

c.

Let, f(x) = -x^{3} - x^{2} + 12 \timesx

Now, \frac{d  f(x)}{dx} = -3 \timesx^{2} -2 \timesx + 12

Let f1(x) = -3 \timesx^{2} -2 \timesx + 12 and f2(x) = \frac{d f1(x)}{dx} = -3 \timesx -2

The value will be maximum, if f1(x) = 0 and f2(x) < 0.

f1(x) = 0\\ 3 \timesx^{2} + 2 \timesx -12 = 0\\ x = \frac{- 2 + \sqrt{2^{2} + 4 \times3 \times12} }{2 \times3} , \frac{- 2 - \sqrt{2^{2} + 4 \times3 \times12} }{2 \times3}

x = 1.69 ≅ 1.7 or x = -2.36 ≅ -2.4

Now f2(1.7) < 0.

At x = 1.7, the volume will be maximum.

d.

The maximum value is f(1.7) = 12.597(approximately)

8 0
3 years ago
The value of 45 is between what two numbers?
svlad2 [7]

Answer:

D this will be your answer

8 0
2 years ago
Read 2 more answers
Which of the following sets of data will have the smallest Standard Deviation?
PIT_PIT [208]
The formula for standard deviation is in attachment the mean (or average is subtracted from each data sample then squared, then summed up for all data samples, then divided by the number of samples, then finally the square root is taken.

The first row of data will have a standard deviation of 0.

The second row of numbers will have a low standard deviation because the differences between the sample data values are low ( <10).

The third row of number will have a somewhat larger standard because of the spread of the numbers.

The last row will have a slightly smaller standard deviation that the 3rd row because of the zero's

What smaller number can you get other than 0?

The first row of data has a 0 or smallest standard deviation
Download pdf
6 0
3 years ago
Write 6208 in exponential form<br>​
11Alexandr11 [23.1K]

Answer:

2^6 x 97

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

8 0
3 years ago
Other questions:
  • Identify the number of solutions:<br> 5x + 4 = 5x + 4
    15·1 answer
  • The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals wh
    13·1 answer
  • A new truck that sells for $29,000 depreciates (decreases in value) 12% each year. Which function models the value of the truck?
    12·2 answers
  • Point A lies outside of plane P. How many lines can be drawn perpendicular to plane P through point A?
    15·2 answers
  • You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered 1 to 25 in the hat. Each num
    7·1 answer
  • Which set of ordered pairs represents a function? (1 point) {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(
    9·2 answers
  • Geometry, plz help!
    12·1 answer
  • What is the answer??
    15·1 answer
  • Find the product of (x − 9)2 and explain how it demonstrates the closure property of multiplication. X2 − 81; is a polynomial x2
    7·1 answer
  • Find the surface area of the figure. You must show the formula you used.​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!