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Olegator [25]
2 years ago
12

1/4 a = 4/15 I’ll add extra points show ur sork

Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Answer:16/15

Step-by-step explanation:

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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
2 years ago
Read 2 more answers
Which algebraic expression represents "the apples were divided equally into seven boxes"?
bezimeni [28]

Answer:7+a

Step-by-step explanation:multiply 7 by a

7 0
3 years ago
Read 2 more answers
Ava wrote the expression StartFraction 4 minus 2 Over 3 minus 1 EndFraction to determine the slope of a line. Which table might
Katena32 [7]

Answer:

The question is not finished but if it is it would look like 4-2/3-1

Step-by-step explanation:

3 0
3 years ago
Find two negative consecutive odd integers whose product is 143
Likurg_2 [28]
The answer is -11 and -13
4 0
3 years ago
Each month, the census bureau mails survey forms to 250,000 households asking questions about the people living in the household
allsm [11]

Answer:

Option D is correct. All US households are among the population of interest.

Step-by-step explanation:

The Census bureau is a national body in the U.S. and they do the survey of 250000 different households monthly. The surveys go out to all corners of the U.S. depending on which part of the nation is doing the survey next.

It shows that the entire U.S. population is of interest to the census bureau.

5 0
3 years ago
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