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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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Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b

Vilka [71]

Answer:

The inequality describing the situation is:

$7b+9u>1500$

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = $b$ hours

∴ Amount Joe would make this month working as a busboy = $\$7\times b=\$7b$

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = $u$ hours

∴ Amount Joe would make this month working as a theater usher = $\$9\times u=\$9u$

Total amount Joe would make this month = $\$(7b+9u)$

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

$7b+9u>1500$

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2 years ago

Corrine wants to purchase 9.6 pounds of trail mix. Each pound costs $1.20. How much will Corrine spend on trail mix?

Grace [21]

Multiply 9.6 pounds of trail mix by $1.20.

9.6 * 1.20 = 11.52

Corrine will spend $11.52 on trail mix.

7 0

2 years ago

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Which statements are true about the function f(x) = -|x| -2 ? Check all that apply.

ohaa [14]

Answer:

Step-by-step explanation:

f(x)=-|x|-2

vertex is (0,-2)

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2 years ago

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Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.

8_murik_8 [283]

So for this function we will be using the quadratic formula, which is $x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a}$ , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

$x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92$

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

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3 years ago

Carla is riding a motorcycle across the country. After 4 hours, she is 600 miles from Denver. After 8 hours, she is 320 miles fr

KengaRu [80]

I wanna say 920 but may be wrong

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