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riadik2000 [5.3K]
3 years ago
9

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

-3(6- 2x) \geq4x + 12\\\\-18+6x\geq4x+12\\\\2x\geq30\\\\x\geq15\\\\x\in[15,\infty)

So, the last one.

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two friends went to a restaurant and ordered one plain pizza and two sodas. their bill totaled $15.95. later that day, five frie
oksano4ka [1.4K]
X= cost per pizza
y= cost per soda


1ST VISIT TO RESTAURANT
x + 2y= $15.95

2ND VISIT TO RESTAURANT
3x + 5y= $45.90


STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.

-3(x + 2y)= -3(15.95)
multiply -3 by each term

(-3 * x) + (-3 * 2y)= (-3 * 15.95)

-3x - 6y= -47.85


STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.

3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y

-y= -1.95
divide both sides by -1

y= $1.95 per soda


STEP 3
substitute y value in either original equation to solve for x

x + 2y= $15.95

x + (2 * 1.95)= 15.95
multiple in parentheses

x + 3.90= 15.95
subtract 3.90 from both sides

x= $12.05 per pizza


CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90


ANSWER: Each pizza costs $12.05 and each soda costs $1.95.

Hope this helps! :)
4 0
3 years ago
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It would decrease by one number each time
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Answer:

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Step-by-step explanation:

I hope this helped and have a great day!

5 0
3 years ago
Factor the expression x2 – 9x + 14
Anna [14]
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x (x - 2) -7 (x - 2)
x - 7 =0  OR  x - 2 = 0
x = 7  OR  x = 2

In short, Your Roots would be 2 & 7

Hope this helps!
7 0
3 years ago
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Which expression is equivalent to 4 square root x10
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