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yuradex [85]
3 years ago
14

-5(4x+7) {less than to equal to symbol} 25

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0
<span>-5(4x+7) <= 25;
-20x - 35 <= 25  / +35;
-20x <= 60  / </span>÷ (-20 < 0)<span>;
x >= - 3;
x </span>∈ [ - 3, +oo )
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Pls help.................
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Answer:

y+1=-3/8(x-16)

Step-by-step explanation:

I used the equation and plugged in the numbers

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If 3 of the Roberts 4 dogs are black, what percent are NOT black
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Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i
Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

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cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

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Answer:

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Step-by-step explanation:

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Since the difference is positive, Lisa noticed she got 3 extra miles for every gallon of gasoline. That is, her gasoline consumption reduced.

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