MATHEMATICS HIGH SCHOOL

Determine which polynomial has (x – 9) as a factor.

Answers

Answer 1

Answer:

Answer:

option D

Step-by-step explanation:

(x-9) is a factor

x-9 =0 so x=9

now we plug in 9 for x and see which polynomial gives us remainder 0

A. x^2 - 6x +9 = 9^2 - 6(9) + 9 = 36

Remainder = 36 so (x-9) is not a factor

B) x^2 + 16x + 63= 9^2 + 16(9) + 63 = 288

Remainder =288 so (x-9) is not a factor

C) x^2 + 14x + 45= 9^2 + 14(9) + 45 = 252

Remainder = 252 so (x-9) is not a factor

D) x^2 - 12x + 27= 9^2 -12(9) + 27 = 0

Remainder = 0 so (x-9) is a factor

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A package weighs 8 ounces how many pounds does the package weigh

Answers

since a pound is 16 ounces and 8 is half, then the package is half of a pound

Since 1 ounce = 0.0625
Now if we multiply 8 by 0.0625 it equals 0.5

So next time your converting ounces to pounds, you always multiply how many ounces there is to 0.0625

Answer : 0.5 pounds

Hope it helped :)

A florist has 36 tulips and 21 carnations. If the florist wants to create identical bouquetswithout any leftover flowers, what is the greatest number of bouquets the florist can make?

Answers

Answer:

Step-by-step explanation:

21 can be divided by 3 also 36

Answer:

3 bouquets

Step-by-step explanation:

Both numbers are divisible by 3, so after division we have 3 groups of 7 carnations, and 3 groups of 12 tulips. 7 is no longer divisible, so if the desire is an even bouquet then we can only make 3 bouquets of 7 carnations and 12 tulips

Write down the 1st term in the sequence given by t(n) = n2+4

Answers

T(N6) = n4+8 a guess been a long time check youtube recurences suck

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function .How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. h=-16t^2+112t+30
A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft

Answers

To determine the time it takes for boulder to reach its maximum height, derive the equation and equate to zero.
h = -16t² + 112t + 30
dh / dt = 0 = -32t + 112
The value of t from the equation above is 3.5 s. Substitute this value of t to the original question,
h = -16(3.5 s)² + 112(3.5 s) + 30 = 226 ft
Thus, the answer is letter D.

Martha Jones received a $540 discount loan to purchase a new sewing machine. The loan was offered at 12.5% for 90 days. Find the interest in dollars

Answers

The interest 540*.125*1/4=16.88

You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your friend gets 1 point. If a 2, 3, or 4 is rolled, you get 1 point. After 108 rolls each, what scores should you expect? Friend: 54; You: 54

Friend: 18; You: 18

Friend: 54; You: 18

Friend: 18; You: 54