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Darina [25.2K]
3 years ago
13

Solving y=5/2x-1 and y=-1/2x+5 on a graph

Mathematics
1 answer:
UNO [17]3 years ago
7 0
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Find the intersection points using substitution or elimination for each system of equations:
natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
3 years ago
6 out of 24 employees at the water slides are temporary employees what percentage of the employees at the water slide are tempor
kykrilka [37]

Answer:

25%

Step-by-step explanation:

The question is:

6 is what percent of 24?

Set up the problem:

6            x

----   =   -----

24        100

600 / 24  =   25%

Check your answer:

25%   +   25%   +    25%    +  25%      =  100%

 6       +     6      +      6       +     6        =   24

3 0
3 years ago
You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s a
d1i1m1o1n [39]

Answer:

I am will take 20 years to get 20$

My friend will take 10 years to get 20$

Step-by-step explanation:

Let  \: the  \: no.  \: of \:  years : x \\  \\ for \: me \\  x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years

I hope this is be good for you and I want this money

7 0
3 years ago
Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?
irinina [24]

$340 × 24 (12 months in one year)

= $8160

5 0
2 years ago
Read 2 more answers
Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1
grandymaker [24]
2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.
8 0
3 years ago
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