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Andrej [43]
3 years ago
8

Solve the following system of equations. 2x + 5y = -18 and y = -4x

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4

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Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter,
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Answer:

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

Step-by-step explanation:

The average is taken out by adding the observations and dividing by the total number of observations.

X`= ∑x/n     where n is the number of observations.

Average = 7 + 14 + 6 + 4 +5 +6 /6

Average = 42/6= 7

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

8 0
3 years ago
1. Solve the equation p2 + 2p - 8 = 0 using the quadratic formula
Stels [109]
D. Is correct hope that helped w
8 0
3 years ago
Which statement is true?
melisa1 [442]

Answer:

All squares are rectangles.

Step-by-step explanation:

A square is a rectange with equal-length sides.

A rectangle is a parallelogram with right-angle corners.

A parallelogram is a quadrilateral with opposite sides parallel.

A quadrilateral is any 4-sided plane figure, not necessarily convex. Sides are not necessarily parallel, nor are angles necessarily 90°.

5 0
3 years ago
Find the sum of the first 40 even positive integers.
Pachacha [2.7K]

Answer:

1640

Step-by-step explanation:

Even, positive integers

2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80 = 1640

6 0
2 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
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