Answer:
Step-by-step explanation:
4. h(x) = 2x^2 + 14x - 60
Step-by-step explanation:
Given that h(x) is a quadratic.
Also, h(3) = h(-10) = 0
(A) h(x) = x^2 - 13x - 30
=> h(3) = 3^2 - 13(3) - 30
=> h(3) = 9 - 39 - 30
=> h(3) = -30 - 30
=> h(3) = -60
=> h(3) ≠ 0
(B) h(x) = x^2 - 7x - 30
=> h(3) = 3^2 - 7(3) - 30
=> h(3) = 9 - 21 - 30
=> h(3) = -12 - 30
=> h(3) = -42
=> h(3) ≠ 0
(C) h(x) = 2x^2 + 26x - 60
=> h(3) = 2(3^2) + 26(3) - 60
=> h(3) = 2(9) + 78 - 60
=> h(3) = 18 + 78 - 60
=> h(3) = 96 - 60
=> h(3) = 36
=> h(3) ≠ 0
(D) h(x) = 2x^2 + 14x - 60
=> h(3) = 2(3^2) + 14(3) - 60
=> h(3) = 2(9) + 42 - 60
=> h(3) = 18 + 42 - 60
=> h(3) = 60 - 60
=> h(3) = 0
And
=> h(-10) = 2(-10)^2 + 14(-10) - 60
=> h(-10) = 2(100) - 140 - 60
=> h(-10) = 200 - 200
=> h(-10) = 0
Clearly we have,
=> h(3) = h(-10) = 0
Hence, the correct option is (D) h(x) = 2x^2 + 14x - 60
2 orange picks for 1 green pick
Azul has 4 green picks
So, 4×2=8
Total 8+4=12
Answer:
E) -3, 5
Step-by-step explanation:
x – 15 / x = 2
x^2 - 15 = 2x
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x - 5 = 0; x = 5
x + 3 = 0; x = -3
Solutions: -3, 5
Y = 4x -9
y = x-3
Replace the "y" in above equation by x-3
x - 3 = 4x - 9
-3x = -6
x = 2
Then replace x = 2 to the beneth
y = 2 - 3 = -1
Answer:
8.5 or 8½
Step-by-step explanation:
Arranged numbers in ascending order
2, 6, 8, 8, 9, 10, 12, 14
Median = middle number i. e 8 and 9
Therefore median = 8 + 9 divided by 2
= 17 divided 2
= 8.5
Answers = 8.5 or 8½
