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natulia [17]
3 years ago
12

Solve the compound inequality 8 < 3 - 5x < 18

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

−1 > x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3−5x<18

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Alexxandr [17]

Answer:

4x^2-12x+9

Step-by-step explanation:

we have

(2x-3)^2

we know that

(a-b)^2=a^2-2ab+b^2

In this problem

a=2x\\b=3

substitute in the formula

(2x-3)^2=(2x)^2-2(2x)(3)+(3)^2

(2x-3)^2=4x^2-12x+9

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Find the values of x on the interval [−π, π] where the tangent line to the graph of y = sin(x) cos(x) is horizontal. (Enter your
Lady_Fox [76]
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Subtract: 4x/x^2-25 - 2/x^2+2x-15
Alex777 [14]

Answer: \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

Step-by-step explanation:

Given

Subtract the expression

\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

4 0
3 years ago
Index notation simplify 4^9 x 4^3
LenKa [72]

Answer:

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Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

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7 0
3 years ago
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