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3 years ago

What are the zeros of the polynomial function f(x)=x^3-x^2-6x

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Answer:

(

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(

−

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−

Explanation:

To find the zeros of the polynomial above first factor out the common factor then factor the remaining polynomial and set it equal to zero. Finally solve for x.

Step-by-step explanation:

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Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water in

nadezda [96]

Answer:

11/4 seconds

Step-by-step explanation:

We can see from the given equation that the height at the diving board is h = 3.

This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.

To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.

h(t) = 3

h(t) = -4t^2 + 11t + 3 = 3

-4t^2 + 11t + 3 - 3 = 0

-4t^2 + 11t = 0

t*(-4t + 11) = 0

so h(t) = 3 when t = 0 and when t = 11/4 sec

we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.

the diver is back at the height of the diving board at t = 11/4 sec

6 0

2 years ago

Read 2 more answers

One week a computer store sold a total of 36 computers and external hard drives. the revenue from these sales was $30875 . if c

melamori03 [73]

To solve this problem you must apply the proccedure shown below:

1. You must make a system of equation by using the information given in the problem above. Then, let's call:

$x$ : The number of computers sold.

$y$ : The number of hard drives sold.

2. Therefore, you have the following system of equations:

$\left \{ {{x+y=36} \atop {1180x+125y=30875}} \right.$

2. Solve for $x$ in the first equation and substitute it into the second equation:

$x=36-y\\ 1180(36-y)+125y=30875$

3. Solve for $y$ :

$42480-1180y+125y=30875\\ y=11$

4. Substitute the value of $y$ into the first equation to calculate $x$ :

$x+11=36\\ x=25$

Therefore, the answer is: The store sold $25$ computers and $11$ hard drives.

5 0

3 years ago

If 49, out of 175 people like cookies, what is the probability of 1200 people who will like cookies

zhannawk [14.2K]

I'm not really sure, but I believe the probability of 1,200 people liking cookies would be 336 people.

In order to solve this you would have to divide 1200 by 175 and take your answer and multiply that by 49.

5 0

3 years ago

Find the indicated nth term show your solution 8,15,22,29,...,a18

Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

Arithmetic Sequence — a sequence that has same difference or common difference.
Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

Common Difference

$\displaystyle \large{a_{n + 1} - a_n = d}$

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

General Terms of Arithmetic Sequence

$\displaystyle \large{a_n = a_1 + (n - 1)d}$

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

$\displaystyle \large{a_{18} = 8 + (18 - 1)7} \\ \displaystyle \large{a_{18} = 8 + (17)7} \\ \displaystyle \large{a_{18} = 8 + 119} \\ \displaystyle \large{a_{18} = 127}$

Therefore, the 18th term is 127.

4 0

3 years ago

) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,

TiliK225 [7]

Answer:

I believe the answer is C

7 0

3 years ago