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Andrej [43]
3 years ago
9

Find the zeros of ƒ(x) = x3 + 6x2 + 8x.

Mathematics
2 answers:
EleoNora [17]3 years ago
5 0

x^3+6x^2+8x = 0\\\\\implies x^3+2x^2 +4x^2+8x =0\\\\\implies x^2(x+2)  +4x (x+2)   =0\\\\\implies (x+2)(x^2 +4x) = 0\\\\\implies x (x+2) (x+4)=0\\\\\text{Hence,} \\\\x = 0 ,-2,-4

Softa [21]3 years ago
3 0

Answer:

Option A: x=0, x=-2, and x=-4

Step-by-step explanation:

f(x)=x^3+6x^2+8x

0=x^3+6x^2+8x

0=x(x^2+6x+8)

0=x(x+2)(x+4)

x=0, x=-2, and x=-4

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A number cube is tossed 50 times, and a 1 is rolled 18 times. Find the experimental probability of not rolling a 1.
LiRa [457]

Answer:

16/25 = 0.64

Step-by-step explanation:

18 rolls are ones, so 32 rolls are not ones.

The experimental probability is 32/50 = 16/25 = 0.64.

8 0
3 years ago
Sheila and Lenore were driving to their grandmother’s house. Lenore left 1 hour after Sheila. Sheila drove at a rate of 45mph, a
solong [7]

Answer:

It'll take 3 h before Lenore catch up to Sheila.

Step-by-step explanation:

To solve this problem we first need to calculate the relative speed between the two. Since they're going at the same direction we need to subtract their individual speeds if their directions were oposite we would have to sum their speeds. In this case we have:

relative speed = Lenore speed - Sheila speed

relative speed = 60 - 45 = 15 mph

Since Sheila left 1 h before Lenore and she drove at a rate of 45 mph, then she had covered a distance of:

distance = time*speed = 1*45 = 45 miles

Before Lenore left, so in order for Lenore to catch up to Sheila she needs to cover that distance at a relative speed of 15 mph.

time = distance/(relative speed) = 45/15 = 3 h

It'll take 3 h before Lenore catch up to Sheila.

4 0
3 years ago
70. Write the standard form of the equation of the line with
nasty-shy [4]

Answer:

y = -2x - 8

Step-by-step explanation:

<u>Use the point slope form:  (y - y1) = m(x - x1)</u>

(y - (-4)) = -2(x - (-2))

y + 4 = -2(x + 2)

y + 4 - 4 = -2x - 4 - 4

y = -2x - 8

Answer:  y = -2x - 8

6 0
3 years ago
Read 2 more answers
Help me on this please
djyliett [7]

{x}^{2}  =  {17}^{2}  -  {11}^{2} \\  {x}^{2}  = 289 - 121 = 168 \\ x =  \sqrt{168 }  = 12.96
6 0
3 years ago
The slope of the line below is 2. Which of the following is the point-slope form
vladimir2022 [97]

Answer:

D

Step-by-step explanation:

point-slope form is y-y1=m(x-x1) . since the slope is 2 and not -2, you can automatically eliminate choices A and C. since the y-value in the point, (1,-1), is -1, you will add it to y because you are subtracting a negative. (- - = +) therefore, the final equation, in point-slope form, is y+1=2(x-1), or answer choice D.

7 0
3 years ago
Read 2 more answers
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