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3 years ago

Use the inequality 18 < -3(4x - 2) Solve the inequality for x. Show your work.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

6 0

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2) Expand this to simplify

18 < (-3)(4x) - (-3)(2) Multiply -3 with 4x and -2

18 < -12x + 6 Start isolating 'x'

18 - 6 < -12x + 6 - 6 Subtract 6 from both sides

18 - 6 < -12x '+ 6' is cancelled out on the right side

12 < -12x Subtracted 6 from 18 on the left side

12/-12 < -12x/-12 Divide both sides by -12

12/-12 < x 'x' is isolated. Simplify left side

-1 < x Answer

x > -1 Standard formatting puts variable on the left side

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tia_tia [17]

To find the area of each backyard, we need to multiply the length and width together.

For Branda, her yard is 35 by 90, which means the area is 35*90 which = 3150.

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Now, we are asked to find the difference between Branda and Lauries yard areas. The difference means how much larger Branda's area is than Lauries.

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3 years ago

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3 years ago

If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)

Pavlova-9 [17]

Answer:

$-2x^3+2x^{1/2}$

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

$f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)$

Then, you distribute the negative sign in front of g(x) to get:

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And finally, you add/subtract the x's that have the same power to get:

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3 years ago

I’m not getting these at all

spin [16.1K]

Answer:

$\frac{a}{1 +bc} = x$

Step-by-step explanation:

In this question, it appears that you need to solve this equation in terms of x.

Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:

a = x(1 + bc)

Divide (1 + bc) from both sides, giving you:

$\frac{a}{1 +bc} = x$

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Answer:

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