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NemiM [27]
3 years ago
15

Solve: x^2 – 16x + 63 < 0 ​

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

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If P(n) and Q(n) are polynomials of degree j and k, respectively, then the series
Naya [18.7K]

Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0  and k = 8. Since 0 < (8-1)

0 < 7 the series converges

6 0
1 year ago
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
alexdok [17]

Answer:

about 70.0 mph

Step-by-step explanation:

speed = distance/time

(300 ft)/(2.92 s)·(1 mi)/(5280 ft)·(3600 s)/(1 h) = (300·3600/(2.92·5280)) mi/h

≈ 70.0498 mi/h

8 0
3 years ago
The blue dot is at what value on the number line?
Ksenya-84 [330]

Answer:

17.

Step-by-step explanation:

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4 0
2 years ago
Subtract <br> -3 3/8 - 7/8
In-s [12.5K]

Answer:

-4 1/4 When you subtract -3 3/8 from 7/8 you will get this answer.

Hope this helps

8 0
3 years ago
Read 2 more answers
PRECALCULUS QUESTION PLEASE HELP!!!!!!
Shkiper50 [21]
Some information is missing for #6.
#7: use sine, sin35=h/5.1, h=5.1*sin35, use a calculator, h≈2.9
#23: to find the reference angle, keep subtracting the number by 360, until the remaining difference is the smallest positive number.
1406-360-360-360=326. the reference angle is 326.
now look at the remainder, the terminal line of 326 degree is in the 4th quadrant between 270 and 360, the the reference angle is 360-326=34, the angle between the terminal line and the positive x axis. 34 is the answer.
4 0
3 years ago
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