please answer the question below

Answer:

Rewriting p(x) as a product of linear factors: [tex]\mathbf{f(x)=(x+3)(x-2)(x+6)}[/tex]

Step-by-step explanation:

The polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex] has a known factor of [tex](x + 3)[/tex]

We need to find other factors.

First we find quotient of  [tex]p(x) = x^3 + 7x^2 - 36[/tex] divided by [tex](x + 3)[/tex]

The division is shown in image attached.

The quotient is: [tex]x^2+4x-12[/tex]

Now, factoring the quotient [tex]x^2+4x-12[/tex]

[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]

The other two factors are (x-2)(x+6)

So, Rewriting p(x) as a product of linear factors: [tex]f(x)=(x+3)(x-2)(x+6)[/tex]

Answer:

Not helpful

Step-by-step explanation:

Answer:

It took 6 days for Victor to read a full book.

Step-by-step explanation:

Given that Victor read 2 1/3 books in 14 days, and that it took him the same time to read each book completely, to determine the number of days it took him to read a complete book it is necessary to perform the following calculation:

1/3 = 0.333

14 / (2 + 1/3) = X

14 / 2.333 = X

6 = X

So, it took Victor 6 days to read a full book.

Answer:

65+7 too the test

Step-by-step explanation:

Answer:

Positive: 7-(-4) and -10+12

Negative -3+(-2) and 5-8

Step-by-step explanation:

Addition and subtraction rules

Answer:

Step-by-step explanation:

ha ha

Answer:

9ft^2

Step by step explanation:

Area is L × W

so the L would be 3 3/4 ft x 2 2/5ft

with that equation in mind

how do we multiply whole number fractions? well, we make them into improper fractions

3 3/4 becomes (4x3) +3 / 4

2 2/5 becomes (2x5) + 2 / 5

Those answers become

15/4 x 12/5

^ Our improper fractions then we multiply across

15/4 x 12/5

^ 15 x 12 = 180

& 4 x 5 = 20

the final fraction becomes 180/20 and we can simplify that by 20

that becomes 9/1 = 9ft^2

Answer:

the length = 22 and width =7

Answer:

495° × π/180 = 8.639

Step-by-step explanation:

The exact angle measure in radians of 495 is; 8.64radians

We can say that 360° is equal to 2πrad.

On this note, we can evaluate the value of 495° in rads as; x.

Therefore;

x = 8.64 radians.

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Answer:

c

Step-by-step explanation:

The improper fraction is ten eighths(10/8).

Improper fractions are ones that have been divided improperly for any number, object, or element, as indicated by the term. A fraction is a portion of a whole in mathematics. Denominator and numerator are the two components of fractions.

A fraction whose numerator exceeds the denominator is referred to as an improper fraction. Consider the case where x/y is an improper fraction and x exceeds y. The incorrect fraction is consequently always bigger than one.

Given two times five eighths.

we need to multiply 2 by 5/8

First, remember that 2 is equal to 2/1 since 2 divided by 1 equals 2. Therefore, frame the issue as follows to begin:

2/1 x 5/8

Combine the denominators (1 x 8) and the numerators (2 x 5 = 10) to create a single fraction, as seen below:

10/8

Hence two times five eighths is 10/8 in improper fraction.

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Step-by-step explanation:

The expected value is the value of winning made on a game when played overtime. Hence, the expected value of the game is -$0.5 ; with the player losing -$0.5 in the long run.

A coin toss :

Sample space for 3 tosses :

Toss required to win = 3 tails :

Creating a discrete probability table :

The expected probability can be defined as :

E(X) = 3 × (1/8) + (-1) × 7/8

E(X) = 3/8 - 7/8 = - 4/8 = -1/2

Therefore, the expected value of the game = - 0.5 ; meaning that, I'll lose 0.5 in the long run.

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Answer: A. 51

Step-by-step explanation:

Just count all the gum balls in the machine to get the TOTAL possible outcome! (18 green + 11 white + 15 purple + 7 blue gum balls= 51)

Answer:

The solution is x=3 , y=-4 or (3,-4)

Step-by-step explanation:

Given equations (1 and 2) are:

[tex]3x- 2y = 17\\-2x -5y = 14[/tex]

To solve a system of equation with elimination method, the co-efficients of one of the variables has to be equated and then the equations are added or subtracted to get an equation in one variable.

Multiplying equation 1 by 2:

[tex]2(3x-2y) = 2*17\\6x-4y = 34\ \ \ \ \ Eqn\ 3[/tex]

Multiplying equation 2 by 3

[tex]3(-2x-5y) = 3*14\\-6x-15y = 42\ \ \ \ Eqn\ 4[/tex]

Adding equation 3 and 4

[tex](6x-4y) + (-6x-15y) = 34+42\\6x-4y-6x-15y = 76\\-19y = 76\\\frac{-19y}{-19} = \frac{76}{-19}\\y = -4\\[/tex]

Putting y = -4 in equation 1

[tex]3x-2(-4) = 17\\3x+8 = 17\\3x = 17-8\\3x = 9\\\frac{3x}{3} = \frac{9}{3}\\x = 3[/tex]

Hence,

The solution is x=3 , y=-4 or (3,-4)

Answer:

D

Step-by-step explanation:

1/2 is less than .6 and still a reduction

Answer:

16

Step-by-step explanation:

4 meters is 400 centimeters and 400/25 is 16 so you can cut 16 pieces of 25cm wire from 4 meters of wire.

Answer: 16

Step-by-step explanation:

4 meters=400 cm

400 divided by 25=16

Answer:

13

Step-by-step explanation:

In the figure provided,

∠(9y + 7) = ∠(2y + 98)                     [vertically opposite angles]

7y + 7 = 98                                      [subtracting 2y from both sides]

7y = 91                                             [subtracting 7 form both sides]

y = 13                                               [dividing both sides by 7]                              

Answer:

20

Step-by-step explanation:

Because if you add all the money up it would be 20=9+11

Answer:

Step-by-step explanation:

-3 (2n+3m= 195)

2 (3n+5m= 300)

-6 - 9m= -585

6n + 10m= 600

m=5

Answer:

11 questions

Step-by-step explanation:

Answer:

10 or 11

Step-by-step explanation:

cross multiply

47.8%/100%=x/23

=10.994

Answer:

As im pretty sure the equation would be S=600N

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took had this question in my test and im pretty sure I got this correct

The range of the function for the first four weeks of data f(x) = 3x + 26; 26 ≤ y ≤ 35. The correct option is C.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

It is given that a lawn-mowing company is trying to grow its business. It had 26 clients when it started its business and wants to increase by 3 new clients each week.

The equation will be represented as follows:-

Let x be the number of the weeks then the expression will be written as:-

f(x) = 3x + 26

For the first four weeks, the range will be:-

26 ≤ y ≤ 35

Therefore, range of the function for the first four weeks of data f(x) = 3x + 26; 26 ≤ y ≤ 35. The correct option is C.

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Answer:

54 students

Step-by-step explanation:

45% of 120 is 54

Answer:

The width of the school campus is:

[tex] \boxed{ \underline{ \rm{630 \: feet}}}[/tex]

Step-by-step explanation:

Scale = 1.5 inches : 10 feet

That means, 1.5 inches is equals to 10 feet in real.

Then for 1 inch:

⇛ 10 / 1.5 feet

⇛ 10/3 feet

We need to find for 94.5 inches,

⇛ 94.5 inches = 94.5 × 2/3 feet

⇛ 94.5 inches = 63 feet

Thus, the width of the school campus is 63 feet.

Answer:

In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 5/9. Therefore the constant of proportionality is y=5/9x.

Volume is a three-dimensional scalar quantity. The volume of foam that is needed in cubic inches is 83.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of foam needed is the difference between the volume of the cube and the volume of the square pyramid. Therefore,

The volume of cube = a³ = 5³ = 125 in³

The volume of Pyramid = (1/3)×blh = (1/3)×5×5×5 = 41.667

The volume of foam needed = 125 in³-41.667 in³ = 83.3334 in³ ≈ 83 in³

Hence, the volume of foam that is needed in cubic inches is 83.

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Answer:

2/1

Hope this helps.

Answer:

2/1

Step-by-step explanation:

continue dividing the denominator and numerator by 3

Answer: 2:3

Step-by-step explanation:

12/6=2

18/6=3

Answer:

Option A.

Step-by-step explanation:

Options:

A. 3 to 4

B. 4 to 3

C. 4 to 7

D. 7 to 4

In order to simplify a fraction the numerator and the denominator have to have common factors that they can be divided by.

[tex]\frac{12}{16}[/tex]

Divide

[tex]CF=4[/tex]

[tex]12\div4=3[/tex]

[tex]16\div4=4[/tex]

[tex]=\frac{3}{4}[/tex]

Hope this helps.

Answer:

126 divided by 6 which is 27

Step-by-step explanation:

The answer is C

Answer is C!

Sawarasenaikimiwa⛓shoujonano?~

✨BöKùWâÿARiçHiñBįCChīńOoŠuDàYO!~~

The slopes and the y - intercepts of the lines represented by the tables are calculated below.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are the tables representing the coordinates [x] and [y].

Table [1]

m = (5 - 3)/(-1 + 2) = 2

[y] - intercept = 7

Table [2]

m = (2 - 5)/(-2 + 3) = -3

[y] - intercept = -4

Table [3]

m = (-13 + 17)/(2 - 1) = 4

-1 = 4 x 5 + c

c = - 1 - 20 = - 21

[y] - intercept = - 21

Table [4]

m = (-9 + 4)/(-5 + 6) = - 5

-6 = - 5 x - 4 + c

c = - 26

[y] - intercept = - 26

Table [5]

m = (6 - 3)/(1 - 0) = 3

[y] - intercept = 3

Table [6]

m = (2 - 5)/(-1 + 2) = - 3

[y] - intercept = - 3

Table [7]

m = (6/5 - 2/5)/(0 + 2) = 2/5

[y] - intercept = 6/5

Table [1]

m = (2 - 1)/(1 + 1) = 1/2

[y] - intercept = 1.5

Therefore, the slopes and the y - intercepts of the lines represented by the tables are calculated above.

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Answer:  89

Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89