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Nataly [62]
3 years ago
15

Bottom 2?? Double points in for tomorrow, awarding brainiest

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0
A)
a³ * a⁵ = a⁵⁺³
= a⁸

b)
b⁶ / b³ = b⁶⁻³
= b³

c)
4c⁷ * 3c⁵ = (4 * 3)c⁷⁺⁵
= 12c¹²

d)
12p⁶ / 4p² = (12 / 4)p⁶⁻²
= 3p⁴

e)
(3p²q³)³ = (3)³(p²)³(q³)³
= 27p²⁽³⁾q³⁽³⁾
= 27p⁶q⁹

f)
Shaded area = Area of large rectangle - Area of smaller rectangle
Area of large rectangle = 5(4x - 2)
= 20x - 10
Area of smaller rectangle = 3(2x - 3)
= 6x - 9
Shaded area = (20x - 10) - (6x - 9)
= 20x - 6x - 10 + 9
= 14x - 1
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5 0
3 years ago
Need help with this....
Yakvenalex [24]

Answer:

\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}

Step-by-step explanation:

f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}

=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2

6 0
3 years ago
Please help me. Explain I don’t understand this
s2008m [1.1K]

Answer:

-9

Step-by-step explanation:

-6/2 + -6 =

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-3+-6=

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