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2 years ago

Which graph represents the solution to the given system? Y=-x+5 y= 1/4 x+10

Mathematics

1 answer:

jeka57 [31]2 years ago

7 0

Answer:

See attachment

Step-by-step explanation:

The given system is :

$y = - x + 5$

$y = \frac{1}{4}x + 10$

Let us equate both equations and solve for x.

$- x + 5 = \frac{1}{4}x + 10$

$- 4x + 20 = x + 40$

$20 - 40 =x + 4x$

$- 20 = 5x$

$x = - 4$

$y = - - 4 + 5 = 9$

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

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Find the simple interest on an investment of $3500 for 2.5 years at

aleksklad [387]

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

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2 years ago

Select the number line that shows that two opposite numbers have a sum of 0

uranmaximum [27]

Answer:

The correct answer would be D I believe.

Can I get brainliest?

Step-by-step explanation:

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2 years ago

Read 2 more answers

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

$C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11$

(b) Find the average cost at a production level of 1000 units.

$c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49$

$\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74$

(d) Find the production level that will minimize the average cost.

$c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100$

(e) What is the minimum average cost?

$c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220$

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2 years ago

Judy and her sister went together to get haircuts. Judy got 9 3/5 inches cut off and her sister got 4 1/10 inches cut off. Compa

disa [49]

Answer:

5 1/2

Step-by-step explanation:

9 3/5 - 4 1/10

First you need to get common denominator, as we see that we need to get the 5 from the 3/5 to ten, so we multiply 3/5 by 2 on both of the numerator and denominator and you will get 6/10. So the new fraction would be 9 6/10 - 4 1/10 = which would be subtractable. Therefore the answer would be 5 5/10 which equals

5 1/2

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1 year ago

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Find the vector with initial point p (4, 3) and terminal point q (–9, –4).

lana66690 [7]

-9 -4 = -13
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vector is <-13, -7>

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3 years ago