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4 years ago

Find the zeros of the polynomial function.

Mathematics

1 answer:

Ivanshal [37]4 years ago

5 0

f(x) = x^3 + 5x^2 - 4x - 20

The zeros of the polynomial function: x^3 + 5x^2 - 4x - 20 = 0

x^3 + 5x^2 - 4x - 20 = 0

x^2(x + 5) - 4(x + 5) = 0

(x^2 - 4)(x + 5) = 0

(x + 2)(x - 2)(x + 5) = 0

(x + 2) = 0; x = -2

(x - 2) = 0; x = 2

(x + 5) = 0; x = -5

Answer is the first one

x = -5, x = -2, x = 2

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Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

3 years ago

How to get a perimeter of 200

Gnom [1K]

Answer:

You could have a square with side of 50 ft.

Step-by-step explanation:

4 0

3 years ago

Find the rate of change: Mike can bike 3 miles in an hour. What is the speed at which mike can bike?

masya89 [10]

Rate of change=change in y divided by change in x
y= 3,6,9
x= 1,2,3
The numbers chosen above are because if mike travels 3 miles in one hours then he can travel 6 miles in two hours and 9 miles in 3 hours.
Change in y = 3
Change in x = 1
3 / 1 = 3
So, the rate of change is 3.

3 0

3 years ago

PLEASE SHOW WORK OR EXPLAIN

timofeeve [1]

Answer:

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

$tangent=\dfrac{opposite}{adjacent}$

We have

$\theta=38^o,\ opposite=r,\ adjacent=20$

$\tan38^\approx0.7813$

Substitute:

$\tan38^o=\dfrac{r}{20}$

$\dfrac{r}{20}=0.7813$ multiply both sides by 20

$r=15.626$

Tree height is r + 5.

Therefore

$r+5=15.626+5=20.626\approx20.6\ ft$

7 0

3 years ago

Is there enough information shown on the triangles to say that the

Harlamova29_29 [7]

Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

SSS
ASA
AAS (or SAA)
SAS
HL
LL

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

7 0

3 years ago