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4 years ago

Which ordered pair is generated from the equation shown below? y = 3x - 1 A. (6, 18) B. (6, 17) C. (4, 12) D. (9, 8)

Mathematics

1 answer:

geniusboy [140]4 years ago

7 0

Answer:

B 6,17

Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1 then y= 18-1 which is 17, and it does say 17 in 6,17.

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the diameter of a parabolic mirror is 22 centimeters and the mirror has a depth of 0.5 centimeter at th center what is the equat

NeX [460]

I figured it out
warning: mildly incoherent math logic ahead

ok, so if you want a parabola facing right, then
first I'll solve for up down standard parabola then reflect across x=y line
so
y=ax²+bx+c

so let's say teh vertex is at the origin
that means when x=0, y=0
0=0
c=0
y=ax²+bx
ok, see diagram
we have some points, (0,0) and (11,0.5) and (-11,0.5)
use those oints to find a and b
0.5=121a+11b
0.5=121a-11b
add dem equations
1=242a
divide by 242
1/242=a
subsitute
0.5=121a+11b
0.5=121(1/242)+11b
0.5=0.5+11b
0=11b
0=b
oook

de equaiton is
$y= \frac{1}{242} x^2$
if we want it facing right
switch x and y
$x= \frac{1}{242} y^2$

the equation is $y= \frac{1}{242} x^2$ or $f(x)= \frac{1}{242} x^2$ or $x= \frac{1}{242} y^2$ or $f(y)= \frac{1}{242} y^2$
depends which way you want it and if you want f(x) or f(y) or x or y

4 0

4 years ago

Divide -3x^3-2x^2-x-2 by x-2

tatuchka [14]

In this case, you must synthetic division. You are given x-2. You need to set that to zero so that you now have x-2=0. You then need to get x by itself. So:
$x-2(+2)=0(+2) \\ x=2$ .
You then need to use that final part as the beginning of your synthetic division.
To continue, you must find the leading coefficients of every degree (remember: your degree is found by your largest exponent) beginning with your highest degree, in this case it is 3, and use the front number of the term. BE SURE TO BE AWARE OF NEGATIVES (indicated by subtraction signs)!!! Then you continue down the equation from $x^{3}$ down to $x^{2}$ then $x^{1}$ then $x^{0}$ (which is just the number without an "x") doing the same thing. So your setup should look similar to as follows:

2 l -3 -2 -1 -2
l__________

The numbers inside the box should be added down (the first number is added to nothing, so it is added to zero. Then it is multiplied by the outside number (2). Then that multiplied number continues into the next slot within the box which is then added to the number above it, and so the process repeats. So the process should go like this.

2 l -3 -2 -1 -2
l 0
 -3
2 l -3 -2 -1 -2
 l  0 -6 
-3 -8
2 l -3 -2 -1 -2
 l 0 -6 -16
 -3 -8 -17
2 l -3 -2 -1 -2
 l 0 -6 -16 -34
 -3 -8 -17 -36
So now you are left with -3, -8, -17, and -36. This is to be expected. Now, those new numbers are your new leading coefficients. Remember your first degree? It was 3, now, you need to take your leading degree and subtract it by one. That is your new degree. So now, going left to right on the synthetic division chart, you add "x" and your degree descending as you go further to the right. So, your new equation is $-3 x^{2} -8 x-17$ .
There is a problem though, because there is still that -36. This is where that original piece that you divided the equation by comes in handy. You divided everything by x-2, so, you must add your remainder divided by x-2 to the rest of the equation.
So, the final equation is equal to:
$-3 x^{2} -8x-17- \frac{36}{x-2}$

That is your final answer.

4 0

4 years ago

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laila [671]

Answer:

Step-by-step explanation: it intersects on the y-axis

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3 years ago

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In auto insurance, a lower deductible means the customer _____.

Marrrta [24]

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Step-by-step explanation:

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3 years ago

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a rectangles perimeter and area have the same numerical value. the width of the rectangle is 9 units . what is the length of the

attashe74 [19]

Answer:

Step-by-step explanation:

let the length of rectangle=l units

width=9

p=2(l+9)

area=9l

9l=2(l+9)

9l=2l+18

7l=18

l=18/7 units

5 0

3 years ago