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3 years ago

Which explains why this system has no solution?

Mathematics

2 answers:

den301095 [7]3 years ago

7 0

Answer:

C. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines parallel.

Step-by-step explanation:

Parallel lines will have no solution, since they share no points. To be parallel, they will have the same slope and different intercepts.

___

If the intercepts and slopes are the same, the lines are identical and there will be an infinite number of solutions.

natta225 [31]3 years ago

3 0

Answer:

Your Answer is C

Step-by-step explanation:

Parallel lines will have no solution, since they share no points. To be parallel, they will have the same slope and different intercepts.

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Practice with proofs on aleks?

Sholpan [36]

Give more of an answer please

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2 years ago

Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.

andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

$-\frac{1}{1} =\\-1$

Therefore, our perpendicular slope is -1. We now have equation:

$y=-x+b$

We can plug in the known values of the point (-1,4) to solve for b.

$4=(-1)*(-1)+b\\4=1+b\\b=3$

If we now put what we found together, we have equation

$y=-x+3$

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0

2 years ago

I am so confused help me plz !!

Kryger [21]

Answer:

1. -5.5 2. 5 3. 5, 5.5

Step-by-step explanation:

For #1 just look at what point it would be towards the y- axis.

For #2 you want to kinda estimate what it would be between.

And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump

4 0

2 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

2 years ago

Mr. Allen spent $40 for 6 movies. If each movie is the same price, how much would he have to spend for 24 movies?

ser-zykov [4K]

Answer:

about $160

Step-by-step explanation:

$ 40/ for 6 movies = $6.66/movie

$6.66/movie x 24 movies = about $160

7 0

2 years ago

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