(x+2) and (x-3) are the only factors of the function g(x) = x^3 + x^2 - 12. How many times is each a factor of g(x)? Show your work.

Answer:

60

Step-by-step explanation:

IN MY opinion IT IS 60

Answer:

-6.7, -28/5, 8.2, 17/2

Step-by-step explanation:

Divide the fractions to turn them into decimals, then organize from least to greatest!

Answer:

The second one

Step-by-step explanation:

Divide 17 by 2 = 8.5

Divide -28 by 5 = -5.6

Therefore:

-28/5, -6.7, 8.2, 17/2

Hope this helps!

Answer:

x = 2

Step-by-step explanation:

7x + 5 = 19

Subtract 5 on both sides

7x = 14

Divide by 7 to isolate x

x = 2

Hope this helps!

Answer:

It means two lines intersected.

C is correct

Hope this helps!

:)

If a system of linear equations has one solution, this means that the lines are intersecting lines

Intersecting lines are lines that meet at a point.

For parallel lines, they do not meet at any point. Hence the system of equation formed by these lines does not have a solution

For two intersecting lines, the equation of both lines can be equated to get the unknown variable. This unknown variable will serve as the solution to the system of equation

Hence If a system of linear equations has one solution, this means that the lines are intersecting lines

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Answer:

Take two point from the table, doesn't matter which ones, because this is linear. I will choose (0,0) and (3,.5).

Now follow the equation for slope: m = change in y / change in x.

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{.5-0}{3-0}[/tex]

[tex]\frac{.5}{3}[/tex]

[tex]\frac{1}{6}[/tex]

The slope is 1/6. m=1/6

Its y-intercept is at 0. b=0

So the equation is y = 1/6x. The graph is attached.

Answer:

216

Step-by-step explanation:

Hope this helps.

Answer:

Side of cube = 6 cm

Volume = side ^3 = 6^3 = 216 cm^2

Answer:

1  5/9

Step-by-step explanation:

9 1/3 can be rewritten as 28/3. The question is asking for you to divide 28/3 by 6. 6 is 6/1, so the expression is 28/3 divided by 6/1. You then do the reciprocal of 6/1 and the expression is [tex]\frac{28}{3} * \frac{1}{6}[/tex]. This gets you 28/18, which is simplified to 14/9 or 1  5/9. Hope this helps!

Answer:

1.55

Step-by-step explanation:

Convert 1/3 into a fraction which is .33 repeating and then divide 9.33 by 6 and you get 1.55

Answer:

it is D

Step-by-step explanation:

Answer:

Sorry, I don't have one.

Step-by-step explanation:

Answer:

33.5 weeks

Step-by-step explanation:

Answer:

760 miles per hour

Step-by-step explanation:

since it travels 380 miles in half an hour, multiply by two to see the answer

Answer:

60

Step-by-step explanation:

Look at the attachment

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer:the answer is 02

Step-by-step explanation:

The solution is, c. 2, is the position of the car.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

Before solving the problem, we should understand what is the length that corresponds to one notch in the graph.

We see that there are 3 notches between 0 and 6, and that the length of the notches is constant: so, each notch corresponds to the same length. Since we have 3 notches, the length of each notch is

6/3 = 2

now, we have,

Since the car is located at the first notch, it means that its position is:

x = 1*2 = 2

Hence, The solution is, c. 2, is the position of the car.

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Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

-x=2

x=-2

y=-2+2=0

x=-2 y=0

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5)   0=(x-2)

x = -5            x = 2

The intercepts are -5 and 2

Answer:

4

Step-by-step explanation:

40-36=4

Answer:

She won by 4 seconds.

Step-by-step explanation:

If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.

Answer:

Independent

Step-by-step explanation:

Answer:

A) y = 1.875x + 1.25

B) 35 pounds

Step-by-step explanation:

A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).

General equation of a line:

y = mx + b

Slope of the line:

m = (20 - 5)/(10 - 2) = 1.875

y-intercept is found replacing a known point and the slope into the general  equation:

5 = 1.875*2 + b

b = 5 - 1.875*2 = 1.25

The final equation is:

y = 1.875x + 1.25

where y represents weight (in pounds) and x represents age (in months)

B) At x = 18:

y = 1.875*18 + 1.25 = 35

Answer:

what are the statements?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it should be x=log(7)/10*log(2) and x=in(7)/10*in(2)

so B and D

The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex].  Option D is correct

To solve [tex]2800 = 400.2^{10x}[/tex] for x.

The function which is in format f(x) = [tex]a^x[/tex]  where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

[tex]2800 = 400.2^{10x}[/tex]
[tex]2800/400= 2^{10x}[/tex]
[tex]7=2^{10x}[/tex]
taking log on both sides.
[tex]log_27=10x\\x=log_27/10\\x = log_e7/(10*log_e2)\\x =ln7/(ln2*10)[/tex]    
(By properties of logarithm log can be separated to common base e)

The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex].

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Answer:

# Theoretically, the height of Sandy must be an odd numbers, and not less than 5.

  It may be: 7,9,11,....

# However, as 1 inch for the height of a girl is too funny - Marie can not have a height of 1 inch ( only in the case Marie and Sandy are the names of the toys!) - you should choose the number that fits best to the human height.

Step-by-step explanation:

Please see the explanation for the answer in the picture attached  below.

Answer:

P = 108cm

A = 486 cm^2

Step-by-step explanation:

To find the perimeter add up all the side

P = 36+27+ 45 =108 cm

The area is

A = 1/2 bh

A = 1/2( 27)*36

A = 486 cm^2

Answer:

96

Step-by-step explanation:

Volume= (a^2h)/3

Volume=36(8)/3

Volume=96

Answer:

its 96

Step-by-step explanation:

Answer:

The mean absolute deviation (MAD) of her Math scores would be 1.2.

Step-by-step explanation:

Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1

7.1 - 5.4 = 1.7

7.1 - 6.4 = 0.7

7.1 - 7.8 = 0.7

7.1 - 8.8 = 1.7

Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2

hope this helps :)

Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.

Step-by-step explanation:

Answer:

2^K≥40

2^5≥20

24/5 =4.75

40 books= 40/5 = 8 mean

9 2's

10 7's

13 12's

2 17's

6 22's

18+70+156+34+132= 410/40 =10.25  

150+156+70=306+70=376/40 books bought = 9.4 mean

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]