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slega [8]
3 years ago
5

Help please !!! ❗️❗️❗️❗️❗️❗️

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Step-by-step explanation:

1. f(x) = 12x + 1

f(-2) = 12(-2) + 1 = -23

f(0) = 12(0) + 1 = 1

f(3) = 12(3) + 1 = 37

2. p(x) = -8x - 2

p(-2) = -8(-2) - 2 = 14

p(0) = -8(0) - 2 = -2

p(3) = -8(3) - 2 = -26

3. m(x) = -6.5x

m(-2) = -6.5(-2) = 13

m(0) = -6.5(0) = 0

m(3) = -6.5(3) = -19.5

4. s(x) = ⅖x + 3

s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5

s(0) = ⅖(0) + 3 = 3

s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5

5. h(x) = ¾x - 6

h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4

h(0) = ¾(0) - 6 = -6

h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4

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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.
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Answer:

80x⁴

Step-by-step explanation:

(\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2

                           + 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5

5C_0(\frac{1}{ax})^5(2ax^2)^0  =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1  = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\

5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

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3 years ago
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What is the question
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PLEASE HELP! IN DESPERATE NEED! Please SHOW YOUR WORK! Thx so much! :)
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1.

92+\frac{56}{14-x}=100\\\\\frac{56}{14-x}=8\\\\(\frac{56}{14-x})*(14-x)=8*(14-x)\\\\56=(8*14)+[8*(-x)]\\\\56=112-8x\\\\-56=-8x\\\\\\x=7


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\frac{410-x}{7}+70=120\\\\\frac{410-x}{7}=50\\\\(\frac{410-x}{7})*7=50*7\\\\410-x=350\\\\-x=-60\\\\\\x=60
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