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3 years ago

1. Solve the inequality.

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer:

Your final answer is either

x≥-2 if your initial inequality was

6x+2≤2(5-x)

x≤-2

if your initial inequality was

6x+2≥2(x-2)

Step-by-step explanation:

As shown you have an equality, not an inequality.

-6x+2=2(5-x) distribute through parenthesis

-6x+2=2(5)+2(-x)

-6x+2=10-2x add 2x to both sides

2x-6x+2=10-2x+2x

-4x+2=10 subtract 2 from both sides

-4x+2-2=10-2

-4x=8 divide both sides by -4

-4x/(-4) = 8/(-4)

x = -2

With the ≥ or ≤ sign you would solve the exact same way

except for the point where when dividing both sides by

-4 requires you to reverse the inequality.

Your final answer is either

x≥-2 if your initial inequality was

6x+2≤2(5-x)

x≤-2

if your initial inequality was

6x+2≥2(x-2)

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We need to find the product of :

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So, the result as following:

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So, the answer is the option 4. 8y3 + 6y2 − 29y + 15

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1 year ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

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We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

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