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motikmotik
2 years ago
7

Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.

Mathematics
1 answer:
Rufina [12.5K]2 years ago
3 0

Answer:

No

Step-by-step explanation:

<u>Use synthetic division</u>

-5 | 1 -4  3   7

____<u>-5 45 -240</u>

     1 -9 48 | -233

Since the remainder is not 0, then x+5 is not a factor of the polynomial

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two 3 in. by 5 in. index cards are placed side by side so that their edges are touching. which term best represents where the ca
11Alexandr11 [23.1K]
<span>Which term best represents where the cards touch?
A.Angle
B.Line segment
C.Point
D.Plane

The best term is B. LINE SEGMENT.

A line segment is part of a line that is bounded by 2 distinct end points. In this case, the end points are the edges of the index cards.</span>
7 0
3 years ago
Kia rides her bicycle at 20 miles per hour. Which equation represents the situation?
sergejj [24]

Answer:

(A)d=20h

Step-by-step explanation:

If Kia rides her bike at 20 miles per hour.

20 miles per hour is referred to as the Kia's Speed.

Now we know that:

$Speed=\frac{Distance \:Travelled}{Time \:taken}

Given:

  • Number of hours traveled=h
  • Distance traveled=d
  • Speed = 20 mph

Substituting these three into the formula above, we have:

20=\dfrac{d}{h}\\

Cross multiply

d=20h

<u>The correct option is A.</u>

7 0
3 years ago
Why do systems of nonlinear equations sometimes have more than one solution​
Mice21 [21]

Answer:

System of two linear equations can't have exactly two solutions. Reason is that when we have two straight lines,they can only intersect at one point of intersection,no more. Or let's see if lines are equivalent,then they have infinitely many solutions,because any point on line can be solution for the system.

Step-by-step explanation:

5 0
3 years ago
Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid beca
rosijanka [135]

Answer:

C. 72\pi

Step-by-step explanation:

The radius of the circle is 24 units, then the area of the whole circle is

\pi r^2=\pi \cdot 24^2=576\pi \ un^2.

The shaded circle is limited by 45° angle, so its area is

\dfrac{45}{360}=\dfrac{1}{8}

of the area of the whole circle.

The area of the shaded circle is

\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.

3 0
4 years ago
In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the miss
max2010maxim [7]

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

3 0
3 years ago
Read 2 more answers
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