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Effectus [21]
3 years ago
14

P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

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Rachel Newton scored 33 points in a recent basketball game. She scored 21 times, making several free throws worth 1 point each a
SpyIntel [72]

6

Step-by-step explanation:

Step 1:

Let Rachel scored 33 points in total

Let a be the 1 point and b be the 2 point.

a = 21 points scored by 1 point. We want to find b

Step 2:

a+b=33

b= 33-a

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   = 12

b=12 points which means 6 double points

3 0
3 years ago
What is 42 equals 7k
elixir [45]

Answer:

k=6

Step-by-step explanation:

42 ÷ 7 = 6

7 0
3 years ago
Charlene is wrapping the box below. How much wrapping paper will she need? *
Anit [1.1K]

Answer:

286 in³

Step-by-step explanation:

7×5 = 35

35×2 = 70in

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45×2 = 90in

9×7 = 63

63×2 = 126in

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5 0
3 years ago
What is the area of a shaded segment with an area of 12 and an arch angle of 60
Scorpion4ik [409]
<span>Let A = the area of the whole circle
Let S = the area of the shaded portion</span><span>
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
 S = (60/360) </span>× <span>A = ( 1 / 6 ) </span>× 12 = 2 ;
3 0
3 years ago
On a coordinate plane the coordianits of vertices the and t for a polygon are r(-7,3) and r (3,3) what is the length of side rt
NemiM [27]

The length is 10.


Since the two points share the same y-coordinate, the segment rt is horizontal.


This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.


So, we have


\overline{RT} = |-7-3| = |-10| = 10

6 0
3 years ago
Read 2 more answers
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