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Marysya12 [62]
2 years ago
5

Two lines have the equations: 2x + y = 4 3y=2x-12 at what point do they intersect?

Mathematics
2 answers:
Triss [41]2 years ago
6 0

Answer:

Step-by-step explanation:

2x + y = 4

2x - 3y = 12

2x + y = 4

-2x + 3y = -12

4y = -8

y = -2

2x - 2 = 4

2x = 6

x = 3

(3, -2)

NISA [10]2 years ago
3 0
The answer is point (3,-2) and I also double checked so it is for sure correct :)

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A markup of 33% based on cost is desired for a load of 800 bushels of peanuts. They were purchased at $5.85 per bushel. What sho
Alenkasestr [34]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of bushels of peanuts = 800

Price of each bushels of peanuts = $5.85

And there is mark up rate = 33%

So, Total price would be

1.33\times 800\times 5.85\\\\=\$6224.4

If there is spoilage rate = 21%

So, the remaining rate would be 1-0.21=0.79

so, Number of remaining bushels of peanuts would be

0.79\times 800\\\\=632

So, Selling price per bushel would be

\dfrac{622.4}{632}\\\\=\$9.85

Hence, Option 'c' is correct.

4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Over [174]
Answer: x<=-5

STEPS:
-4x+10>=5x+55
Subtract the ten from the right and and subtract it from the 55
-4x>=5x+45
Subtract the 5x from the left and subtract it from the -4x
-9x>=45
Divide both sides by -9
x>=-5
Flip sign since u divide by a negative number
x<=-5
4 0
2 years ago
Read 2 more answers
Catherine graphed point P on the coordinate grid. She will graph point Q at a location that is 4 units left and 3 units up from
patriot [66]
The answer to your question is (4,1)
5 0
3 years ago
Find the coordinates of the point of intersection of all parabolas that have equation y=x2+px +q with p+q=2020. The point of int
ioda

Answer:

(1,2021)

Step-by-step explanation:

P and q can vary subject to their sum being 2020.

Consider one parabola with p1 and q1 and another with p2 and q2.

y1=(x1)^2+(p1)(x1)+(q1)

y1=(x2)^2+(p2)(x2)+(q2)

At their intersection, the x and y coordinates are the same.

y1=y2=y

x1=x2=x

x^2+(p1)x+(q1)=x^2+(p2)x+(q2)

Solve for x

x(p1-p2)=q2-q1

x=(q2-q1)/(p1-p2)

Use the constraint that p+q=2020 to eliminate p1 and p2.

p1=2020-q1

p2=2020-q2

x=(q2-q1)/(2020-q1-2020+q2)

x=(q2-q1)/(q2-q1)

x=1

Substitute in the equation for y.

y=1^2+p(1)+q

y=2021

3 0
3 years ago
Kendall swam (n) laps in a pool. Sophia swam 12 lesd than Kendall. How many laps did they swim altogether
damaskus [11]
Altogether they swam n + (n - 12) laps

Hope this helps :)
8 0
2 years ago
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