(25 points)Which statement best describes the graph of x^3 - 3x^2 - 4x + 12?

It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts down on the left and goes up on the right and intersects the axis at x = -2, 4, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 4, and 3.

Answers

Answer 1

Answer: The answer is A.

The 0's of the function are -2, 2, and 3.

The graph starts from the bottom left and it keeps going to the top right.

Answer 2

Answer: x³ - 3x² - 4x + 12=(x³ - 3x²) - (4x - 12)=x²(x-3)-4(x-3)= (x-3)(x²-4)=(x-3)(x-2)(x+2)
equation cross x-axis in point x=-2, x=2, x=3
so we can choise from 1 and 3 answers:
It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3.
It starts up on the left and goes down on the right and intersects the axis at x = -2, 2, and 3.

coefficient before x³>0 so it go up
so it ís answer 1
Answer:
1. It starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 3

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4 ft. by 4ft by 8 ft what is the volume in cubic feet

Answers

The volume of the rectangular prism will be 128 cubic feet.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the rectangular prism is given as

V = L x W x H

The dimension of the prism is given below.

4 ft by 4ft by 8 ft

Then the volume of the rectangular prism will be

V = 4 x 4 x 8

V = 128 cubic feet

More about the volume of the prism link is given below.

brainly.com/question/16246207

#SPJ2

Volume (V) = length (l) x width (w) x height (h)
V = 4 x 4 x 8
4x4 = 16, 16 x 8 = 144
V = 144 ft (cubed)

Y= (x-1)^2 + 2

change this equation into standard form

Answers

Answer:

x² - 2x + 3

Step-by-step explanation:

y = (x - 1)² + 2

= (x - 1)² + 2 [a - b]² = a²- 2ab + b²

= x²- 2x + 1 + 2

= x² - 2x + 3

Thus, the standard form of the equation isx² - 2x + 3

Alicia drove at a constant speed and traveled 183 miles in 3 hours. How many miles would Alicia travel in 11 hours at the same speed?

Answers

Answer:

671 miles.

Step-by-step explanation:

We have been given that Alicia drove at a constant speed and traveled 183 miles in 3 hours.

First of all, we will Alicia's speed using speed formula.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Alicia's speed}=\frac{\text{183 miles}}{\text{3 hours}}$

$\text{Alicia's speed}=\frac{\text{61 miles}}{\text{ hour}}$

So Alicia's travels at a speed of 61 miles per hour.

To find distance covered by Alicia is 11 hours, we will multiply per hour speed by 11 as:

$\text{Distance covered by Alicia is 11 hours}=\frac{\text{61 miles}}{\text{ hour}}* \text{11 hours}$

$\text{Distance covered by Alicia is 11 hours}=\text{61 miles}* 11$

$\text{Distance covered by Alicia is 11 hours}=\text{671 miles}$

Therefore, Alicia will travel 671 miles in 11 hours.

Answer:

Step-by-step explanation: 3 hours = 183 miles that means 1 hour = 61 miles so 11 hours is 61 multiplied by 11 which is = 671 miles... ✌️

Choose the triangle that seems to be congruent to the given one.AFD =~ ____

AFC
BFC
DFE

Answers

Answer:

The triangle that seems to be congruent to triangle AFD is triangle AFC.

Step-by-step explanation:

As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.

So, in order to have a congruent triangle, the another triangle must have an obtuse angle.

From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.

Triangle BFC and Triangle DFE does not have an obtuse angle.

AFD is equivalent to AFC.

They are the same size, shape, length, and angles.

I hoped I helped!

Can someone help me with my warmup ? Will greatly appreciate it !

Answers

Answer:

Step-by-step explanation:

basically if you do a graph y will start at 5 always because the entrance fee never change. then 0.6 equal 60 cents and since it's per pound you will multiple with x (how many pounds)

Answer:

Step-by-step explanation:

Because it is 0.60 PER pound and an extra $5 so the equation would be C=0.60x+5

If water and oil are combined in a container, the resulting liquid is a(n) A. suspension.
B. emulsion.
C. mixture.
D. solution.

Answers

If water and oil are combined in a container, the resulting liquid is a suspension. Water and oil do not mix. They form a heterogeneous mixture (a mixture whose composition is not uniform). The kind of heterogeous mixture that water and oil form is a suspension because the two lquids separate and can be easily distinguished. An emulsion, is an heterogenous mixture where small drops of one of the liquids disperse into the other liquid, so they form a stable mixture that will not separate quickly. Mayonaisse is an example of emulsion, because it consists of two liquids (oil an eggs) dispersed one into the other. Milk is also a emulsion of fat and water. So the specif term for the liquid resulting from water and liquid combined in a container is the option A. suspension.

Answer:

The answer is emulsion.

Step-by-step explanation:

I put this answer in on the exam and this question was not marked correct. The answer is emulsion

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