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BlackZzzverrR [31]
2 years ago
14

What are the x- and y- intercepts of the graph of 9x-3y = 18?

Mathematics
1 answer:
sineoko [7]2 years ago
3 0

Step-by-step explanation:

9x - 3y = 18

Solve for y:

1. 3y= 9x + 18

2. y= 3x + 6 (This is the equation you will graph)  

To graph:  

Make a table for y = 3x +6.

If x =0, y=6

If x =1, y=9

If x =-1, y=3

You could get as many points as you like, however you need at least TWO, to be able to draw the line.

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If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
QveST [7]

Answer: $0.58

<u>Step-by-step explanation:</u>

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   <u>-21x - 7y</u> =<u> -6.65 </u>

                                                                    -11x         = -2.42

                                                                  <u>÷-11          </u>   <u>÷-11       </u>

                                                                         x        = 0.22  

      3x + y = 0.95

3(0.22) + y = 0.95

   0.66 + y = 0.95

               y = 0.29

2y = 2(0.29)  = 0.58


8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t
Darina [25.2K]

Answer:

12

Step-by-step explanation:

\sqrt{12} \times\sqrt{12}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0

\sqrt{12}\sqrt{12}=12

=12

7 0
2 years ago
A bird catches a fish flies 100 yards upward in a straight line and then drops the fish the fish Atlanta at a spot that is 50 ya
labwork [276]
Cos(x) = 50/100 

part a) x= 60°
<span>part b) height is 86.60254040</span>
4 0
3 years ago
Slope of a line perpendicular to the line whose equation is 3x-3y=-63
ivanzaharov [21]

Answer:

slope perpendicular= -1

Step-by-step explanation:

3x-3y=-63

-3y=-3x-63           divide both sides by -3

y=1x+21

Perpendicular lines have slopes that are the opposite of the reciprocal of each other

3 0
3 years ago
Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%
BaLLatris [955]
We're looking for an integrating factor \mu(x,y)=x^py^q such that

\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0

is exact, which would require that

(\mu M)_y=(\mu N)_x
(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x
49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q
\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4

You can verify that (\mu M)_y=(\mu N)_x if you'd like. With the ODE now exact, we have a solution F(x,y)=C such that

F_x=\mu M
F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx
F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)

F_y=\mu N
50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4
f'(y)=0
\implies f(y)=C

and so the general solution is

F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C
8 0
3 years ago
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