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fiasKO [112]
2 years ago
11

Find the set of values of x for which x^2-x-6>0 and 10-2x<5

Mathematics
1 answer:
professor190 [17]2 years ago
7 0

Answer:

No Solution.

Step-by-step explanation:

For starters, here are our two equations:

(x^2-x-6)>0

10-2x

The first option is to solve for x in our second equation. First, we add 2x to both sides to get 10. Then, we subtract 5 from both sides to get 2x. Finally, we divide both sides by 2 to get x. We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.

Now we can plug in our values into our first equation. We now have the equation 2.5^2-2.5-6>0. We can simplify to get -2.25>0. This test failed, so there are no solutions. A solution would be impossible.

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Scar goes to the gym 4 times per week. Every time he walks 5 miles on the 4 points
steposvetlana [31]

Answer:

He walks 1,060 miles on the tremil in one year.

Step-by-step explanation:

4*5=20*53=1,060

There are 53 sometimes 52 weeks in a year,2020 wise 53 so 53*20=1,060 miles.

8 0
3 years ago
Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

QB = \frac{AP}{2}

Substituing:

AP + 2*(\frac{AP}{2}) = a

2AP = a

AP = \frac{a}{2}

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

4 0
3 years ago
An Olympic sized swimming pool is filled with 660,253 gallons of water. One third of it is left every hour. How much water will
Marina CMI [18]

Answer:

None

Step-by-step explanation:

If 1/3 is left every hour  then it would  then after 3 hours wouldn't it be gone? Most would assume if only a third of the water is left every hour then after three hours there would be either of two answers if the question was written correctly: one third because they refilled it on the 2nd hour or none because it wouldn't even last two hours

3 0
3 years ago
5. How many calories in a 2,500-calorie diet represent veggies in the circle graph? PLEASE HELP DUE VERY SOON
NeX [460]

Answer:

875 calories

Step-by-step explanation:

100%=2500calories

35% represents veggies

35*2500=87500÷100=875

875calories

8 0
3 years ago
Trigonometry Problem <br><br> Find the length of the missing side.
spin [16.1K]

Answer:

  19.0

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship ...

  Cos = Adjacent/Hypotenuse

  cos(38°) = 15/w

  w = 15/cos(38°) ≈ 19.035

The length of the missing side is about 19.0.

5 0
3 years ago
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