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Kisachek [45]
3 years ago
12

For which values of x is the inequality 3(1 + x) < x + 6 true?

Mathematics
2 answers:
ra1l [238]3 years ago
3 0

Answer: (0,1)

Step-by-step explanation:

3*(1+x)<x+6

3*1+3*x<x+6

3+3x<x+6

-x        -x

2x+3<6

-3      -3

2x<3

x<3/2

so x<1.5

on (0,1) the inequality is true

zepelin [54]3 years ago
3 0
If you were to substitute these numbers in the equation, the only numbers you would get is (0,1)

ANSWER:A) 2& amp; 1
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Answer: Word problem: Mya goes to a carnival and buys food for her and her friends.  She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.

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Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.

7 0
2 years ago
Is it more difficult to run up a ramp with a slope of 1/5 or a ramp with a slope of 5? Explain.
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It would be more difficult to run up a slope of 5 because it would be steeper. with a 1/5 slope you would have a rise over run but with a slope of 5 it would just be all rise
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3 years ago
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Hey can you please help me posted picture of question
marta [7]
Two transformations occur on F(x) to obtain G(x).

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This means, the function is reflected across x-axis

b) Multiplication by 5.
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7 0
2 years ago
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PLEASE HELP<br><br>divide. (3x-2)(x-4)-(x-4)(6-5x)<br>/(4-x)(8x-1)​
8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer:  x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

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Answer:

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