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1 answer:
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Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer:
1) (n+5)(n-1)
2) (n-4)(n+3)
3) (v-4)(v-1)
4) (p-4)(p+2)
5)(7x-10)(x+1)
6)(7n-1)(n-9)
Step-by-step explanation:
1) Factors of -5 that add up to 4
2) Factors of --12 that add up to -1
3) Factors of 4 that add up to -5
4) Factors of -5 that add up to 4
5) 7-3x-10
7+7x-10x-10
7x(x+1)-10(x+1)
(7x-10)(x+1)
6)7-64n+9
7-63n-n+9
7n(n-9)-(n-9)
(7n-1)(n-9)