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Alex787 [66]
2 years ago
12

13.27 = t - 24.45

Mathematics
1 answer:
Alika [10]2 years ago
4 0

Answer:

=

3

7

.

7

2

Step-by-step explanation:

Add

2

4

.

4

5

24.45

24.45

to both sides of the equation

1

3

.

2

7

=

−

2

4

.

4

5

1

3

.

2

7

+

2

4

.

4

5

=

−

2

4

.

4

5

+

2

4

.

4

5

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One line has a slope of 1/2 and another has a slope of 1/4. Compare and Contrast the two lines.
Kay [80]

Answer:

the line with the slope of 1/2 will be greater than the one with the slope of 1/4 because 1/2 is greater than 1/4

Step-by-step explanation:

3 0
3 years ago
Find the x- and y- intercepts of the line 6x-2y=24 write your answers as ordered pairs
MrRissso [65]

Answer:

(4,0),(0,-12)

Step-by-step explanation:

7 0
3 years ago
Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
Barney has 14 dimes and quarters worth $2.15. write the system of equations
grigory [225]

Answer: 14 dimes and 3 quarters

Step-by-step explanation:

14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters

5 0
3 years ago
2)
Elenna [48]

Parallel lines are in the same plane, never intersect, and have the same slope.

7 0
3 years ago
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