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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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Decimal representation of rational number 8by 27 is what??
irakobra [83]

Answer:

8/27 is represented in decimal as 0.2962962963

4 0
2 years ago
Read 2 more answers
Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 se
Shalnov [3]

Answer:

35

Step-by-step explanation:

For every 40 students, you add 7

Ratio:

Students : Students in afterschool programs

40:7

80:14

120:21

160:28

200:35

8 0
2 years ago
Write an equation for the quadratic graphed below
uranmaximum [27]

Answer:

Step-by-step explanation:

LOL The graph doesn’t match the y intercept :)

Anyway

If we have point (0,-3) we have a quadratic of

y=ax^2+bx-3 we are given points (-1,0) and (2,0) so

a-b-3=0 and 4a+2b-3=0

4a+2b-3+2(a-b-3)=0

4a+2b-3+2a-2b-6=0

6a-9=0

6a=9

a=1.5, since a-b=3

1.5-b=3

b=-1.5

y=1.5x^2-1.5x-3

6 0
3 years ago
Read 2 more answers
Nineteen less than 6 times a number is the same as 16 more than the number. The equation is The solution is x -7 7.​
Crank

Answer:

The number is 7

Step-by-step explanation:

let the said number be x

Nineteeen less than 6 times a number;

6x - 19

equals; 16 more than the number; this is 16 + x

Thus;

6x - 19 = 16 + x

6x-x = 16 + 19

5x = 35

x = 35/5

x = 7

3 0
3 years ago
If a1=7 and d=28, find a9
Mariulka [41]

Answer:

63

Step-by-step explanation:

Since a1=7 and the question is to find a9, you just have to multiply 7 and 9 which is 63

6 0
2 years ago
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