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Anon25 [30]
3 years ago
6

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr

aically.
(–5, –80)
(5, 0)
(5, 0) and (–5, –80)
no solutions
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )

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4 0
3 years ago
James is a welder who earns $20 per hour. He works 8 hours per day, Monday through Friday. How much does James earn in one week?
lara [203]
20×8=160
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3 0
3 years ago
A shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50. If you buy 8 bags and spend $37, how many
Andrew [12]

Answer:

  • 6 3-lb bags
  • 2 1-lb bags

Step-by-step explanation:

Let x represent the number of 3-lb bags purchased. Then the total purchase was ...

  $2(8 -x) +$5.50(x) = $37

  16 +3.50x = 37 . . . . . . . . . divide by $, collect terms

  3.50x = 21 . . . . . . . . . . . . . subtract 16

  21/3.50 = x = 6 . . . . . . . . divide by the coefficient of x

You bought 6 3-lb bags of peanuts and 2 1-lb bags.

4 0
3 years ago
PLEASE HELP ME!!
Dimas [21]
A) 8^2 + 12^2=c^2
c= 4(13) or 14.42
B) 8^2 + b^2=12^2
b=4(5) or 8.94
7 0
2 years ago
It took Brian 6 hours to drive to the sales conference. He took the same route on the way back home, but
g100num [7]

Answer:  54 mph

Step-by-step explanation:

d-the distance

s+9  -  the speed to the conference

d=6*(s+9)

s- is the speed on the way back home

d=7*s

so    6*(s+9)=7*s

       6s+54=7s

     -6s          -6s

       54= 7s-6s

       s=54  mph

6 0
3 years ago
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