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DedPeter [7]
3 years ago
13

Which system is equivalent to {y=-2x2 y=x-2}

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

OPTION C: y = -2y² - 8y - 8

                    x = y + 2

Step-by-step explanation:

The given equations are:

$ y = -2x^2 \hspace{20mm} \hdots (1) $

$ y = x - 2 \hspace{20mm} \hdots (2) $

From Equation (2), we get:

x = y + 2

Substituting this value of x in Equation (1), we get:

y = -2(y + 2)²

Expanding it in $ (a + b)^2  = a^2 + 2ab + b^2 $, we get:

y = -2{y² + 4y + 4}

⇒ y = - 2y² - 8y - 8

Therefore, OPTION C is the answer.

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Solve the equation 3x-1=x+9
Sever21 [200]
5.

3x - 1 = x + 9

Subtract x on both sides

2x - 1 = 9

Add one on both sides.

2x = 10

Divide by 2 to get the x.

x = 5

Hope this helps!
5 0
3 years ago
Read 2 more answers
Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)
vaieri [72.5K]

Answer:

(-4, -1/2)

Step-by-step explanation:

to calculate the midpoints bt of the line use the ormula:

( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )

Where (x1, x2) is one coordinate point and (y1, y2) is anither coordinate point. Any two points will work, but I chose A (-5,-4) and B (-3, 3).

( \frac{ - 5 + ( - 3)}{2}  \frac{ - 4 + 3}{2} )

(-4, -1/2)

5 0
3 years ago
A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,
horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

7 0
3 years ago
Simplify in fraction form<br> 60a+64≥80a−92
lukranit [14]

Answer:

a≤39/5

Step-by-steep explanation:

60a+64≥80a−92

Step 1: Subtract 80a from both sides.

60a+64≥80a−92

-80a       -80a

−20a+64≥−92

Step 2: Subtract 64 from both sides.

−20a+64≥−92

         -64   -64

−20a≥−156

Step 3: Divide both sides by -20.

−20a≥−156

a≤39/5

5 0
3 years ago
A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.
Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

<em>C = 4.32n + 20</em>

Equation for revenue:

Revenue  = Number of balls made × price of each ball

<em>R =  8.32n </em>

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue =  total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20  

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0
3 years ago
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