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3 years ago

Solve the inequality using the algebraic approach: x+2>3x-8

1 answer:

4 0

X + 2 > 3x - 8
subtract x from both sides

2 > 2x - 8
add 8 to both sides

10 > 2x
divide both sides by 2

5 > x

ANSWER: 5 > x

Hope this helps! :)

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What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?

EastWind [94]

Answer:

= 440 ft

Step-by-step explanation:

The perimeter of a rectangle is found by adding up all the sides. We use the formula

P =2(l+w)

where l is the length and w is the width

The length is 140 and the width is 80

P = 2(140+80)

= 2(220)

= 440 ft

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2 years ago

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

AlexFokin [52]

Answer:

The standard form of quadratic equation is $x^2-16x-36=0$

The factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

Step-by-step explanation:

Given equation $x^2-6=16x+30$

We have to write in standard form and then factorize the given equation.

The standard form for a general quadratic equation is given as $ax^2+bx+c=0$

Consider $x^2-6=16x+30$

Taking all terms to left side, we have,

$x^2-6-16x-30=0$

Adding like terms, we have,

$x^2-16x-36=0$

Now we will factorize it.

We will solve the quadratic equation $x^2-16x-36=0$ using middle term splitting method,

-16x can be written as -18x+2x

$x^2-16x-36=0$ becomes

$\Rightarrow x^2-18x+2x-36=0$

Taking x common from first two terms and 2 common from last two terms we have,

$\Rightarrow x(x-18)+2(x-18)=0$

$\Rightarrow (x+2)(x-18)=0$

Thus, the factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

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2 years ago

Read 2 more answers

How do you solve rational expressions

Stells [14]

Answer:

lots of multiplying I've noticed

5 0

2 years ago

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What is the additive inverse of 0?

jenyasd209 [6]

Answer:

The additive inverse of 0 is 0.

3 0

2 years ago

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There were 35 apples in a basket. Martha found that 6 apples were rotten. Select two statements that are true.

neonofarm [45]

Answer:

The ratio of the number of rotten apples to the total number of apples is 6:35

The ratio of the number of good apples to the number of rotten apples is 35:6

Step-by-step explanation:

If you look at the wording the orders are switched.

Rotten apples: Good apples

Good apples: Rotten apples

3 0

2 years ago