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3 years ago

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Explain, in complete sentences, which method you would use to solve the following system of equations and why you chose that met

hod. Show your work and provide the solution to the system.
4x + 3y = 2
3x + 2y = 1

1 answer:

svp [43]3 years ago

4 0

I would use elimination. I would multiply 4x+3y=2 by 3 so the it becomes 12x+9y=6, and I would multiply the bottom equation by 4 so that it becomes 12x+8y=4. Because I am using elimination I have to get rid of one variable, I chose to get rid of X hence that the coefficient of X in each equation is now 12. i simply subtract both equations and get y by itself. y=2. I plug in Y to find x in either of the original equations, where I get x=-1. To check my work substitute the values of x and y in the other equation. 4(-1)+3(2)=2 -------> 2=2

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1. simplify the expression 10^0

zhuklara [117]

Number 1 is B, number 2 is C and number 3 is A

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3 years ago

Read 2 more answers

Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In you

a_sh-v [17]

We have that the stream of water is coming out in small quantities; at most liters at a time since the stream has a width of around 10cm at most times. Hence, cubic meters per second is too large a unit to measure the small quantity of water going through the shower.
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3 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

When the x is slove and you have to slove for the y i got how to do it but i don't know which one am i sloving for in the equati

harina [27]

Since x=8y, subsitute 8y for x in other equation

y=6x-11
y=6(8y)-11
y=48y-11
minus y both sides
0=47y-11
add 11 to both sides
11=47y
divide both sides by 47
$\frac{11}{47}=y$
subsitute taht for y to find x

x=8y
$x=8(\frac{11}{47})$
$x=\frac{88}{47}$

$x=\frac{88}{47}$
$y=\frac{11}{47}$
in (x,y) form
(x,y)
$(\frac{88}{47},\frac{11}{47})$

3 0

3 years ago

A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A

Rashid [163]

Answer:

750 profit

Step-by-step explanation:

Given :

Profit of 10 on white cement

Loss of 5 on Grey cement

Number of white cement sold = 325 bags

Number of Grey cement sold = 500 bags

Total profit made on sale of white cement :

10 * 325 = 3250

Loss made on sale of Grey cement :

5 * 500 = 2500

Total profit or loss :

3250 - 2500

= 750

Profit value is greater than. Loss value (hence, total profit of 750 was made).

6 0

3 years ago