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EleoNora [17]
3 years ago
8

HELP PLSSSsolve the inequality -9x/11-7<-5

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

x < -22/9

Step-by-step explanation:

(-9x/11) - 7 < -5  (add 7 to both sides)

(-9x/11) < -5 + 7

-9x/11 < 2   (multiply both sides by 11)

-9x < 2(11)

-9x < 22   (divide both sides by -9)

x < -22/9  (answer)

edit: typos galore!

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Which is the graph of g(x)=10/x
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Answer:

Check the attached graph

Step-by-step explanation:

Given equation is g\left(x\right)=\frac{10}{x}.

Now we need to graph the given equation g\left(x\right)=\frac{10}{x}..

Clearly it is not linear as equation is not of the form y=mx+b. So we need to find some points on given equation g\left(x\right)=\frac{10}{x}. by plugging some random values of x like -5,-3,1,... etc.

for x=-5, we get:

g\left(x\right)=\frac{10}{x}

g\left(-5\right)=\frac{10}{-5}=-2.

Hence first point is at (-5,-2). Similarly we can find more points and graph those points.

x can't be 0 as division by 0 is not defined so it will have vertical asymptote at x=0.

Since degree of numerator is less than degree of denominator so y=0 will be horizontal asymptote.

Now join those points by a curved line to get final graph.

7 0
3 years ago
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You need a 60% alcohol solution. On hand, you have a 480 mL of a 75% alcohol mixture. How much pure water will you need to add t
svetlana [45]

Answer:

120 mL

Step-by-step explanation:

If the 480 mL has 75% concentration, then 360 mL are alcohol. To turn the 360 into only 60%, you need to increase the amount of water.

5 0
3 years ago
You order a breakfast that costs $10.25 and a coffee that costs $3.45. You leave a 02% tip and the sales tax is 9.5%. What is th
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Answer: the total cost of the meal is

$17.7415

Step-by-step explanation:

The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was

10.25 + 3.45 = $13.7

You leave a 20% tip. This means that the amount of tip that you left is

20/100 × 13.7 = 0.2 × 13.7 = $2.74

The sales tax is 9.5%. This means that the amount of sales tax that you paid is

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Therefore, the total cost of the meal would be

13.7 + 2.74 + 1.3015 = $17.7415

7 0
3 years ago
A kayak rental company charges $25.00 to rent a kayak and $3.50 for each half hour it is used.
pogonyaev

Answer:

Option D (r(t) = 3.50t +25 ; r(8) = 53)

Step-by-step explanation:

The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:

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Therefore, Option D is the correct answer!!!

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