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saul85 [17]
3 years ago
9

Please help me with these!!!

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0
A. 2.8x+3
B. -73/156
C. 6 10/21+ 10 6/7
D is already simplified
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Pls help, thank you
Lemur [1.5K]

Answer:

  • y = -3x² + 7x - 9

Step-by-step explanation:

<u>Given quadratic function:</u>

  • y = ax² + bx + c

<u>Points on the graph:</u>

  • (-2,-35), (1,-5), (3,- 15)

<u>Substitute values of x and y and solve the system of equations:</u>

  • -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c   ⇔ eq 1
  • -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c               ⇔ eq 2
  • -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c       ⇔ eq 3

<u>Subtract eq 2 from eq 1:</u>

  • -35 - (-5) = 4a - 2b + c - a - b - c
  • -30 = 3a - 3b
  • b = a + 10                                                         ⇔ eq 4

<u>Subtract eq 2 from eq 3:</u>

  • -15 - (-5) = 9a + 3b + c - a - b - c
  • -10 = 8a + 2b
  • b = -4a - 5                                                       ⇔ eq 5

<u>Compare eq 4 and eq 5, solve for a:</u>

  • a + 10 = -4a - 5
  • a + 4a = -5 - 10
  • 5a = -15
  • a = -3

<u>Find the value of b using eq 4:</u>

  • b = -3 + 10
  • b = 7

<u>Find the value of c using eq 2:</u>

  • -5 = -3 + 7 + c
  • c = -5 - 4
  • c = -9

<u>We now have a, b and c:, the function is:</u>

  • y = -3x² + 7x - 9

8 0
3 years ago
Read 2 more answers
(–3)^5<br><br><br><br> What does the ^ mean? Multiplication?
stira [4]
Yes it’s means multiplication.
6 0
3 years ago
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Convert 11.42424242 … to a rational expression in the form of , where b ≠ 0.
statuscvo [17]

I think it is the second one but im not for sure 

I hope that helped you

4 0
3 years ago
It takes 4 hours to drive 240 miles. Select all the other trips that are traveling at the same rate.
kogti [31]

Answer:

60 mph

Step-by-step explanation:

Time:miles

4:240

1:x

To get x divide 240 by 4 because that's what we divided 4 by to get 1

The rate is 60

select all times with the rate of 60 mph

6 0
3 years ago
Help me please teachers trying to give me 8th grade problems
Bezzdna [24]

Answer:

x = 2

Step-by-step explanation:

Used a scientific calculator.

5 0
3 years ago
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