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Anna71 [15]
3 years ago
14

1. What would s have to be so that x^3+ 5x^2 + sx + 6 is divisible by (x+2)?

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

A. 9

Step-by-step explanation:

We use the remainder theorem.

The given function is

f(x) =  {x}^{3}  + 5 {x}^{2}  + sx + 6

If this function is divisible by x+2, then by the remainder theorem,

f( - 2) = 0

This implies that;

{( - 2)}^{3}  + 5( - 2 )^{2}  + s( - 2) + 6 = 0

We evaluate to get:

- 8 + 20 - 2s + 6 = 0

18 - 2s = 0

2s = 18 \\ s = 9

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A snowstorm began on Monday evening. It snowed steadily until 6:00 am on Tuesday morning when the snow was 12 inches deep. Kevin
poizon [28]

Answer:

what is expected at 7am is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.

Step-by-step explanation:

In this question, we are asked to calculate if the prediction made by an equation modeled is correct.

Firstly let’s look at the equation in question;

y = 3t - 6

where y is the snow depth and t is the number of hours after midnight.

now we are looking at 7am, that’s 7 hours past 12am, meaning 7 hours after midnight.

let’s plug the value of t as 7 into the equation

y = 3(7) - 6

y = 21-6

y = 15 inches

according to the equation by Kevin, what is expected is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.

3 0
3 years ago
Lauren has finished 25% of the 120 push ups she needs to do for softball
Ilya [14]

Answer:

30 pushups

Step-by-step explanation:

25/100 = x/120

so, 120x25 = 100x

3000 = 100x

3000/100= x

x = 30

so, Lauren has completed 30 push-ups.

3 0
3 years ago
I need help answering this question, Asap
Natasha2012 [34]

Answer:

(-65)/17

Step-by-step explanation:

Evaluate 3/(x - 2) - sqrt(x - 3) where x = 19:

3/(x - 2) - sqrt(x - 3) = 3/(19 - 2) - sqrt(19 - 3)

19 - 3 = 16:

3/(19 - 2) - sqrt(16)

19 - 2 = 17:

3/17 - sqrt(16)

sqrt(16) = sqrt(2^4) = 2^2:

3/17 - 2^2

2^2 = 4:

3/17 - 4

Put 3/17 - 4 over the common denominator 17. 3/17 - 4 = 3/17 + (17 (-4))/17:

3/17 - (4×17)/17

17 (-4) = -68:

3/17 + (-68)/17

3/17 - 68/17 = (3 - 68)/17:

(3 - 68)/17

3 - 68 = -65:

Answer: (-65)/17

4 0
3 years ago
Read 2 more answers
Mikayla bought 5 skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each write and simpli
Alisiya [41]
To find the total cost of Mikayla's purchase, we add together the costs of the skirts and tops. The costs of the skirts can be found be multiplying the quantity bought by the cost per skirt. Same goes for the tops.

5x + 3(9)

Simplified:

5x + 27
3 0
3 years ago
Please help and explain
Lynna [10]
Dont worry yolo am i right
5 0
3 years ago
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