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3 years ago

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Solve for x: 4|2x − 2| + 10 = 34.

2 answers:

ELEN [110]3 years ago

8 0

Your answer would be X=4,-2

fiasKO [112]3 years ago

5 0

Remark
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10

Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24 Divide by 4
|2x - 2| = 24/4
|2x - 2| = 6

Solution 1
2x - 2 = 6 Add 2
2x = 6 + 2
2x = 8 Divide by 2
x = 8/2
x = 4

Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6 Add 2 to both sides.
2x = - 6 + 2
2x = - 4 Divide by 2
x = - 4/2
x = - 2

Answer
There are 2 solutions
(-2,0) and (4,0) See the graph below.

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Plz Help I do not understand this

loris [4]

Hello,

So Y variable is what you would start with.

20 <= he'll start off with for a

40 <= what he'll start off with for b

And X variables would be the # of hours you're working.

10 <= meaning every hour worked is worth 10 dollars

5 <= meaning every hour worked will be paid 5 dollars

So let's just say for option a he works two hours

(Option A)

10 (2) + 20

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(Option B)

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As for your equations

Y = 10x + 40

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3 years ago

Write the equation using function notation f(x). then find f(0)<br><br> 2x^2 - 3y = 6

Grace [21]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: f(0) = -2$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: 2 {x}^{2} - 3y = 6$

$\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2}$

$\qquad \tt \rightarrow \: 3y = 2 {x}^{2} - 6$

$\qquad \tt \rightarrow \: y = \cfrac{2 {x}^{2} - 6 }{3}$

$\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^{2} - 2$

[ here, y can be replaced with f(x) because y is a function of x ]

$\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^{2} - 2$

$\large\textsf{Find f(0):}$

$\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^{2} - 2$

$\qquad \tt \rightarrow \: f(0) = 0 - 2$

$\qquad \tt \rightarrow \: f(0) = - 2$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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slega [8]

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I hope this helps!
~cupcake

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4 years ago

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Tpy6a [65]

Answer:

Step-by-step explanation:

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= 3 * 3 * 5 = <u>45 units.</u>

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4 0

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Sonbull [250]

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