What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Answers

Answer 1

Answer: $y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n 2x=-10 \n x= (-10)/(2) \n x=-5 \n \n y=-3(-5)+8 \n y=15+8 \n y=23\n \n \boxed{(-5,23)}$

Answer 2

Answer: $y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n -3x+5x=-2-8 \n 2x=-10 \n x=- (10)/(2) \n x=-5 \n y=-3(-5)+8=15+8=23 \n \n \boxed{-5,23}$

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Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?

Answers

$x-cost\ of\ DVD\ny-cost\ of\ video\ game\n\n \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \n\n From\ first\ second:\n11x=220-11y\ \ \ \ |:11\nx=20-y\n\nSubstitute\ to\ first:\n3(20-y)+14y=203\n60-3y+14y=203\n-3y+14y=203-60\n11y=143\ \ \ \ |:11\ny=13\n\nx=20-13=7\n\n \left \{ {{y=13} \atop {x=7}} \right.$

3D+14G=203(11) use elimination 33D+154G=2233
11D+11G=220(-14) to cancel G -154D-154G=-3080

-121D=-847 divide by -121 on both sides
D=7 plug back into equation
11(7)+11G=220
77+11G=220 subtract 77 from both sides
11G=143 divide by 11 on both sides
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Multiply (5x2 x − 4)(x 2). 5x3 x2 − 4x − 8 5x3 11x2 − 2x − 8 5x3 10x2 − 4x − 8 5x3 20x2 2x − 8

Answers

(5x^2 + x - 4)(x + 2) = x(5x^2 + x - 4) + 2(5x^2 + x - 4) = 5x^3 + x^2 - 4x + 10x^2 + 2x - 8 = 5x^3 + 11x^2 - 2x - 8

Answer:

5x^3 + 11x^2 - 2x - 8

Step-by-step explanation:

took the test hope this helps please mark brainlisets

A real estate broker sold your house for. 72,000 the brokers comission was 6% of the selling price how much would youget for the house after the commission is paid?

Answers

72000 x 0.94 = £67680

72000 x 0.94 your answer is 67680

Nathan uses 1/18 of a gallon of milk each time he eats a bowl of cereal.Nathan has used 8 gallons of milk for cereal in one year.how many bowls of cereal did he eat?

Answers

Let us assume the total number of bowls of cereal that Nathan has eaten in a year = x

With each bowl of cereal, Nathan has 1/18 gallon of Milk.

In total the number of gallons of mulk in a year = 8 gallons,

Therefore, we frame the equation as shown below to calculate "x"

1/18 * x = 8

x = 18*8 = 144

Number of bowls of cereal Nathan ate in a year = 144 bowls

To do this we would have to do 18×8, which equals 142. 142 bowls of cereal.

The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?4 square feet
8 square feet
16 square feet
32 square feet

Answers

8x4=32
32 divided by 2 = 16
the answer is 16 square feet

hope this helps :)

Answer:

16 square feet

Step-by-step explanation:

I got it right on my FLVS test :D

K=am+3mx
solve am+3m+3mx
solve for m interms of akx

Answers

$k=am+3mx\n\nk=m(a+3x)\n\nif\ \ \ a+3x \neq 0\ \ \ then\ \ \ m= (k)/(a+3x)$
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$k=am+3m+3mx\n\nk=m(a+3+3x)\n\nif\ \ \ a+3+3x \neq 0\ \ \ then\ \ \ m= (k)/(a+3+3x)$

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