What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)
A. 15X4+2x3 - 8x -22-15
B. 15X442x 8X2 - 2x + 2
C. 15x4 + 2x3 - 8x2 - 2x -15
D. 15X4+2x8x422x42

The range of the dot plot can be from zero to seven because it covers the given data set. Then the correct options are A, B, and C.

The element which appears a number of times are called frequency.

The data set shown below represents the number of times some families went out for dinner the previous week.

The data set is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Data     Frequency

0               2

1                2

2                4

3               0

4               2

5               1

6               1

Because the median is 2, and the data points to the left and right are not symmetrical, the data set is not symmetrical.

From the given data set

4 has a frequency of 2

5 has a frequency of 1

Then the range of the dot plot can be from zero to seven because it covers the given data set.

More about the frequency link is given below.

https://brainly.com/question/4264055

The function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

The first three steps in writing the function in vertex form are shown.

[tex]f(x) = 40x +5x^2[/tex]

Write the function in standard form.

[tex]f(x) = 5x^2+ 40x[/tex]

Factor out of the first two terms by taking out the common number 5 from the equation,

[tex]f(x) = 5(x^2 +8x)[/tex]

Form a perfect square trinomial with (8/2)² = 16,

[tex]f(x) = 5(x^2 +8x+ 16) - 5(16)\\f(x) = 5(x+4)^2 - 80[/tex]

Hence, the function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

Learn more about the vertex form of the parabola here;

https://brainly.com/question/17987697

Answer:

c

Step-by-step explanation:

Answer:

27.25 Years Old

Step-by-step explanation:

Find the total age of the 17 golfers.

52(17) = 884

Find total age of the 9 golfers.

9(74) = 666

Subtract.

884 - 666 = 218

Divide by the 8 golfers.

218/8 = 27.25

Answer:

3 gallons per 4 minutes

Step-by-step explanation:

two point are given

(4 minutes, 3 gallons) and

(8 minutes, 6 gallons)

The question asks about gallons (there is an increase of 3 gallons)

per minute (there is an increase of 4 minutes)

or .75 gallons per one minute

We will see that the length of the browser window is 4.9 inches, and the screen is a square of sidelength 10.2 in

We know that the area of the browser window is 24 in^2, we will assume that the window is a perfect square, then the area is equal to the square of the length x, we have:

x^2 = 24 in^2

x = √(24 in^2) = 4.9 in

We know that the browser covers 3/13 of the screen, so the area of the screen is 13/3 times the area of the browser:

A = (13/3)*24 in^2 = 104 in^2

Again, if the screen is square of sidelength s, we have:

s^2 = 104 in^2

s = √(104 in^2)  = 10.2 in

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

6.167

Step-by-step explanation:

1 + 2/3 - (-9/2)

1 + 2/3 + 9/2

Taking LCM (1 x 2 x 3)

6/6 + 4/6 + 27/6

6 + 4 + 27/6

37/6

6.167 Ans

Answer:

n = 7

Step-by-step explanation:

n+ 4 = 11       subtract 4 from both sides of the equation

n + 4 -4 = 11-4

n = 7

Hey there!

n + 4 = 11

SUBTRACT 4 to BOTH SIDES

n + 4 - 4 = 11 - 4

CANCEL out: 4 - 4 because it give you 0

KEEP: 11 - 4 because it help solve for the n-value

NEW EQUATION: n = 11 - 4

SIMPLIFY IT!
n = 7

Therefore, your answer is: n = 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

B which is b=4

Step-by-step explanation:

POSITIVE FOUR, just to be clear

Answer:

the answer is b

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

12+9+9=30

9 of those are solid

9 out of 30

simplified is 3/10

Answer: 3/10

Step-by-step explanation:

The quadratic regression equation of company X sales would have a degree of 2

To determine the quadratic regression equation, we make use of a graphing calculator

From the graphing calculator,we have the following calculation summary

A quadratic regression equation is represented as:

y = ax^2 + bx + c

So, we have:

y = -507.61x^2 +23372.94x -170697.85

Hence, the quadratic regression equation is y = -507.61x^2 +23372.94x -170697.85

This means that:

x = 22.75

So, we have:

y = -507.61 * 22.75^2 + 23372.94 * 22.75 -170697.85

Evaluate

y = 98316.63

Hence, the profit for selling at $22.75 is $98316.63

Read more about quadratic regression equation at:

https://brainly.com/question/14279500

Answer:

Option A for part (a) and Option B for part (b)

Step-by-step explanation:

Step 1:  Determine the ratios in part a

First Batch --> 8 minutes / 2 customers = 4 minutes per customer

Second Batch --> 18 minutes / 6 customers = 3 minutes per customer

Third Batch --> 21 minutes / 7 customers = 3 minutes per customer

In part (a) we would choose option a which is that it does not always take the same amount of time to serve each customer.

Step 2:  Determine the ratios in part b

First Batch --> 27 points / 3 dollars = 9 points per dollar

Second Batch --> 45 points / 5 dollars = 9 points per dollar

Third Batch --> 63 points / 7 dollars = 9 points per dollar

In part(b) would choose option b which is that each dollar spent appears to earn the same number of points which would give us 8 dollars for 72 points.

Answer: Option A for part (a) and Option B for part (b)

Answer:

432 pi  cm^3

Step-by-step explanation:

volume = 1/3  pi * r^2 h

               = 1/3 pi (81)(16) = 432 pi  cm^3

Answer:

1) 11760

2) 7938

3) 9261

Step-by-step explanation:

hope this helps

Answer:

12

Step-by-step explanation:

Differentiate the equation. It will give you -1/6x + 2 = dy/dx.

Let dy/dx = 0 (you do this because the highest point is usually the turning point. The gradient is zero at the turning point, meaning that you'd have to set dy/dx to be zero to figure out the highest point).

Then rearrage for x

-1/6x+2=0

1/6x = 2

x = 12

Answer:

The graph y = 18x2 + mx + 2= 12

So the answer is 12

The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

We have Equation.

y = 18 x² + m x + 2

Now, to find exactly one intercept we will use Discriminant Method as

D = m² - 4 x 18 x 2 = 0

m² - 144 = 0

m² = 144

m = -12 or m = 12

Thus, the required value of m is 12.

Learn more about Intercept here:

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Answer:

1

Step-by-step explanation:

because if you do 1 1/2 - 1/2 = 1

Formula for the area of a triangle = 1/2 x base x height

Base = 24

Height = 7

Area = 1/2 x 24 x 7 = 12 x 7 = 84

Answer: 84 yd^2

Hope this helps!

Answer:

[tex]c = 2\pi r \ \\ 2 \times \pi \times 3 \\ = 6\pi[/tex]

Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

Answer:

See below

Step-by-step explanation:

I assume you want the quadratic that has these values

Vertex form of this parabola

y = a(x- - 1)^2  + 4     insert the given point to calculate 'a'

8 = a (1 + 1)^2 + 4    shows a = 1

y = (x+1)^2 + 4         expand this  vertex form to get the quadratic form

y = x^2 + 2x + 5

Answer:

Step-by-step explanation:

Use the slope formula.

Slope formula:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=6}\\\\\sf{x_2=10}\\\\\sf{x_1=3}[/tex]

Solution: Rewrite it down.

[tex]\sf{\dfrac{9-6}{10-3}=\boxed{\sf{\dfrac{3}{7}}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

6.25π or 19.625

Step-by-step explanation:

Diameter=2r

Area=πr^2

We need to find the radius (5/2=2.5)

Plug in 2.5 for the area forumla= π2.5^2

Solve = 6.25π

Answer:

Step-by-step explanation:

The total number of marbles is 6 + 8 + 4 = 18]

If the first marble drawn is yellow, that happens with a probability of 8/18

So the important thing to note is that now there are 17 marbles,

Now a red marble is drawn. We didn't replace the yellow.

There are 6 red marbles.

So the chances of getting a red marble is 6/17

Answer. P(Y then R) = 8/18 * 6/17 = 48/306

48 / 306 reduces down to 8/51  = 0.156

Answer:

1/9

Step-by-step explanation:

Answer:

109 - -37 = 146

Step-by-step explanation:

since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.

Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)[/tex]

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03[/tex]

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

You can learn more about Venn probabilities at brainly.com/question/25698611

Answer:

D

Step-by-step explanation: