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Anastaziya [24]
3 years ago
8

Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.

Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0
<span>Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).</span>
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The number of miles that Jenna cycled each week for a 7-week period is shown: 36, 42, 28, 52, 48, 36, 31 What is the median numb
Mumz [18]

Answer:

Median = 36

Step-by-step explanation:

To calculate the median number of miles Jenna cycled, we must first rearrange the numbers. The rearranged numbers are:

28, 31, 36, 36, 42, 48, 52

The middle number is 36

The median it therefore = 36

7 0
3 years ago
Read 2 more answers
Which point on the axis satisfies the inequality y&lt;x​
Vika [28.1K]

Answer:

every point where x is greater than y or  y-x<0

namely, every point below the straight line y=x that cuts the cartesian plane in two

Step-by-step explanation:

6 0
3 years ago
Anthony is an executive assistant. He makes $15.85 per hour. If he worked 47.50 hours this week, what is his (a) OT pay? What ab
alexdok [17]

Anthony's OT pay will be $118.875 and his overall pay will be $752.875.

Number of hours Anthony has to work in a week = 5 × 8 = 40 hours.

He worked for = 47.50 hours.

Overtime = 47.50 hours - 40 hours = 7.50 hours

Pay per hour = $15.85 / hour

Overtime pay (OT pay) = $15.85 × 7.50 = $118.875

Overall pay = $15.85 × 47.50 = $752.875

Therefore, Anthony's OT pay is $118.875 and his overall pay is $752.875.

Learn more about overtime pay here -

brainly.com/question/19022439

#SPJ9

5 0
1 year ago
Someone please help me in this question it is kind of confusing it is a question under pre calculus in first year calculus i wil
masya89 [10]
Neither P, nor A are on the sketch 
I guess P is the upper right corner of the rectangle 
and A=(0,1) 

P belongs to the line going through (1,0) and B(0,y) 
<span>but we don't know the y-coordinate of B </span>

<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA 
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1 
so the coordinates of B are (0,1) 

the line going through (1,0) and (0,1) is L(x)=-x+1 

P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1) 

b) so if that's P, the height of the rectangle is -x+1 and the width=2x 
<span>so its area A(x)=2x*(-x+1)= -2x²+2x 

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

</span>
5 0
3 years ago
A box is in the shape of a right rectangular prism. The base of the box has an area of 15 square inches. The height of the box i
nata0808 [166]
The answer is 180cubic2 (square)
7 0
2 years ago
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