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Mathematics

2 answers:

nordsb [41]3 years ago

8 0

Answer:

Its the third choice: 4x^3 - 15x^2 - 10x + 24.

Step-by-step explanation:

(x − 4)(4x2 + x − 6)

= x(4x2 + x − 6) - 4(4x2 + x − 6)

= 4x^3 + x^2 - 6x - 16x^2 - 4x + 24

= 4x^3 - 15x^2 - 10x + 24.

photoshop1234 [79]3 years ago

4 0

Answer:

4x³ − 15x² − 10x + 24

Distribute

x · 4x² + x · x + x · -6 + (-4) · 4x² + (-4) · x + (-4)(-6)

Simplify:

4x²x + xx - 6x - 4 · 4x² - 4x + 4 · 6

Further simplify (by adding and subtracting like terms)

4x³ − 15x² − 10x + 24

Hope this helps :)

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A particle P, starting from rest at A, moves in a straight line ABCD. It accelerates uniformly at 5ms-2 from A to B. From B to C

Radda [10]

First, we find the time spent accelerating:
s = ut + 1/2 at²; u = 0
10 = 1/2 5t²
t = 2 seconds
Velocity at point B:
v = u + at; u = 0, a = 5 m/s², t = 2 s
v = (5)(2) = 10 m/s

Now, the same velocity is at C so we find the time decelerating to 0 in CD
v = u + at, v = 0, u = 10 m/s, a = -4 m/s²
0 = 10 - 4t
t = 2.5 seconds
Total time = time(AB) + time(BC) + time(CD)
20 = 2 + time(BC) + 2.5
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Distance = velocity x time
BC = 10 x 15.5
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3 0

4 years ago

Deposits of $200 per month are put into an investment plan that pays an APR of 6.5%. How much money will be in the plan after

Cerrena [4.2K]

Answer:

The money will be $7455.97.

Step-by-step explanation:

Given : Deposits of $200 per month are put into an investment plan that pays an APR of 6.5%.

To find : How much money will be in the plan after 18 years ?

Solution :

There is a deposit of $200 per month.

For 1 year the principle value is $P=200\times 12=2400$