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3 years ago

Please solve rational inequality and express in an interval notation x-8/x+7>0

1 answer:

3 0

X^2+7x-8>0 eliminating denominator Factoring (x+8)(x-1) must be positive so Case 1 both positive is x>-8 and x>1. For both to occur x>1 Case 2 both are negative (x+8)<0 and (x-1)<0 so x<-8 and x<1. For both to occur x<-8 Therefore x<-8 or x>1

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Does anyone know how to do functions?

trasher [3.6K]

I think 1 is a but I’m not sure

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4 years ago

Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50. What is the percentage change in her hourly rate

Nookie1986 [14]

Answer: 15%

Step-by-step explanation:

% change = change/ actual value x 100

Change = 11 .50 - 10 = 1.5

Therefore % change = 1.5/10 x 100

= 15%

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4 years ago

Read 2 more answers

Dalila earns $108.75 for workin 15 hours as a holiday helper wrapping gifts. At this rate,how much money will she earn if she wo

Elden [556K]

Your answer would be $130.50.

We can write a ratio of earnings to hours as 108.75:15. Then, to find 18 hours, we find 1 hour and multiply by 18:

108.75 : 15
÷ 15
7.25 : 1
× 18
130.5 : 18

So therefore your answer is $130.50, I hope this helps!

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3 years ago

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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3 years ago

which sentence most accurately describes how to solve for perimeter multiplying dividing subtracting or adding all sides of the

saul85 [17]

Answer:

Is there supost to be an image or options orrr?....

Step-by-step explanation:

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3 years ago