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Artist 52 [7]
3 years ago
13

WILL MARK BRAINLIEST!!!

Mathematics
2 answers:
Schach [20]3 years ago
6 0

Answer:

First graph [top left]

Step-by-step explanation:

The first step to figuring this is to FACTOR this polynomial expression. By the <em>Rational Root Theorem</em>, looking at −24, we can tell that −2 [from the expression of (x - 2)] is a root to this expression, so we set it up like this, then use what is called Synthetic Division, since the divisor is in the form of <em>x - c</em>:

\frac{{x}^{3} + 3{x}^{2} - 10x - 24}{x + 2}

Once again, since the divisor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−2| 1 3 −10 −24

↓ −2 −2 24

_________________

1 1 −12 0 → x² + x - 12 >> [x - 3][x + 4]

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 3x² - 10x - 24]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², another 1 [x] followling right behind it, and finally comes −12, giving you the other factor(s) of x² + x - 12. This is factorable, so you have to go even further and factor this:

[x - 3][x + 4]

Do not forget that you have one more factor to this from the start, especially since because our degree is 3 [x + 2]:

[x - 3][x + 4][x + 2]

Now that we have our factored expression, we have to look for two things: the graph has a y-intercept of −24 and that the graph has three x-intercepts of 3, −4, and −2 (from when you set your factored expression equal to zero). With all this being said, you have your answer.

I am joyous to assist you anytime.

ValentinkaMS [17]3 years ago
6 0

Answer:

top left

Step-by-step explanation:

took the test

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The graph of a function f(x) is shown below:<br><br><br><br> What is the domain of f(x)?
Pie

The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1

8 0
3 years ago
Jim drank 245 cups of orange juice and Jack drank 1110 cups less than Jim.
Debora [2.8K]

Answer:

Step-by-step explanation:

Jim drank 2 and 4/5 orange juice

2and 4/5=14/5 orange juice

jack drank  1and 1/10 less than Jim= 11/10 less than Jim

I introduce the whole numbers into the fractions

we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator

(14/5 )*2=28/10

Now we can find out how much juine Jack drank

28/10- 11/10= 17/10

so Jack drank 17/10 orange juice , the fraction can be written also as

1 and 7/10

5 0
2 years ago
Hi please help!!
valkas [14]

The table of values of the function y = 2x^2 is:

x  0   1   2   3   4

y  0   2  8   18   32

<h3>How to complete the table?</h3>

The equation of the function is given as:

y = 2x^2

When x= 0, we have

y = 2 * 0^2 = 0

When x= 1, we have

y = 2 * 1^2 = 2

When x= 2, we have

y = 2 * 2^2 = 8

When x= 3, we have

y = 2 * 3^2 = 18

When x= 4, we have

y = 2 * 4^2 = 32

So, the table of values is:

x  0   1   2   3   4

y  0   2  8   18   32

Read more about functions and tables at:

brainly.com/question/15602982

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5 0
1 year ago
Please someone help please
Helga [31]

Answer:

Step-by-step explanation:

d=m+a/n

Firstly, we multiply n to get rid of it by both sides. Since n is dividing a.

d=m+a/n

*n     *n

dn=m+a

-m  -m

a=dn-m

8 0
2 years ago
Read 2 more answers
Solve for y <br><br> 5y- 10x = 45
nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0
2 years ago
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