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grin007 [14]
3 years ago
14

What is the final answer to 3(x + 1) + 10x > 18

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Step 1: Distribute: 3x+3+10x>18

Step 2: Combine like terms: 13x+3>18

Step 3: Subtract 3 from both sides: 13x>15

Step 4: Divide each side by 13: x>15/13 or x><span>1.15384615</span>

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Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5
Free_Kalibri [48]

Answer:

The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           y=-\frac{8}{5}x-3

Step-by-step explanation:

Given

  • \left(x_1,\:y_1\right)=\left(-5,5\right)
  • m=\frac{-8}{5}

Point-Slope Form equation is

\left(y-y_1\right)=m\left(x-x_1\right)

\left(y-5\right)=\frac{-8}{5}\left(x-\left(-5\right)\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

y-5=\frac{-8}{5}\left(x+5\right)

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

y-5=-\frac{8}{5}\left(x+5\right)

y-5+5=-\frac{8}{5}\left(x+5\right)+5

y=-\frac{8}{5}x-3

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           y=-\frac{8}{5}x-3

5 0
3 years ago
Consider the following function. f(x) = |x − 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. -1
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

f(x)=\mid x-9\mid

f(x)=-(x-9) when x<9

f(x)=x-9 when x\geq 9

LHD

\lim_{x\rightarrow 9-}f'(x)

=-\lim_{x\rightarrow 9-}(x-9)=-1

RHD

\lim_{x\rightarrow 9+}f'(x)

=\lim_{x\rightarrow 9+}(x-9)=1

LHD\neq RHD

Hence, the function is not differentiable at x=9

8 0
3 years ago
a company has 95,000 shares of stock to sell. A stock broker decides to buy 150 shares of the stock for each of her 250 clients.
Ivahew [28]
There would be 57,500 shares left to sell
8 0
3 years ago
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2 years ago
Assume that your present job pays a monthly gross salary of $1,560. You are offered a new position that pays $8.60 per hour with
motikmotik

Answer:

There are 4 weeks in a month and 40 working hours in a week

Since the $8.60 per hour, the gross monthly salary for your new position = 8.60*40*4 = $1,376

Your gross monthly salary at present job = $1,560

So the additional amount that you need to earn at your new position = 1,560-1,376 = $184

The hourly wage for addtional hours more than 40 hours at the new position = 1 1/2 * 8.60 = 1.5*8.60 = $12.90

So, number of hours that you need to work extra = 184/12.90 = 14.26 hours per month

So, number of hours that you need to work extra per week = 14.26/4 =  3.566 hours or 3.57 hours (Rounded to 2 decimals)

Step-by-step explanation:

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3 years ago
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