Factor by grouping x3 - 3x2 + 4x -12 Group of answer choices
A( x - 3 ) (x2 + 4 )
B(x3 - 3x2) ( 4x -12)
C( x +4 ) (x2 - 3 )
D( x - 4 ) (x2 + 3 )

Answer:

15x3-25x

Step-by-step explanation:

5x(3x2 -5)

step1: distribute 5x to both sides

Step 2: 3x2 would change into 15x3 (because you're multiplying by 5x)

Step3: -5 would turn into -25x (because you are multiplying by 5x also)

Step4: put both answers together and your end product would be (15x3 - 25x)

Answer:

15x3-25x

Step-by-step explanation:

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.

Answer:

Step-by-step explanation:

volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

Answer:6x-7

The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.

Answer:

It is irrational because there isn’t any repeating parts.

Answer:

2400

Step-by-step explanation:

length times width times height

Answer:

350

Step-by-step explanation:

Area of rectangle = Length * width

Area = 25 * 8

Area = 200

Area of a triangle  = [tex]\frac{h_{b}*b}{2}[/tex]

Area = 150

Area = triangle area + rectangle

Area = 350

Answer:

x =-1

Step-by-step explanation:

[tex]-2(bx - 5) = 16\\b = 3\\x = ?\\-2(3x -5)=16\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(3x-5\right)}{-2}=\frac{16}{-2}\\\\Simplify\\3x-5=-8\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=-8+5\\\\Simplify\\3x=-3\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{-3}{3}\\\\Simplify\\x =-1[/tex]

Answer:

about 15 billion

Step-by-step explanation:

Answer: The 1st option is correct! :D

Hopefully this will help others as well!

Step-by-step explanation:

Answer:

m =-7/3

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]

Answer:

[tex]d=\sqrt{26}\approx5.0990[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]

Simplify:

[tex]d=\sqrt{5^2+(-1)^2}[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}\approx5.0990[/tex]

And that's our answer :)

Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.

Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.

In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

                 [tex]Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

Step(ii):-

               [tex]Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }[/tex]

              Z =  3.03

Final answer:-

The Z-score = 3.03

The factor that influences a consumer when deciding to buy a product is D. External factor.

A consumer is a person or group who intends to order or uses purchased goods, products, or services primarily for personal, social, family, or household needs and is not directly involved in entrepreneurial or business activities.

Consumers consider a variety of factors, including the product's characteristics, the price charged, the product's availability at the required location, and much more. Personal factors include the consumer's age, occupation, lifestyle, social and economic status, and gender.

External factors such as the market economy, culture, social values, fashion, and corporate policies for consumers all have a large impact on consumer perceptions, attitudes, and behavior.

External factors may include family and friend expectations, cultural or gender stereotypes, and family responsibilities. These factors can have an impact on decision-making, either positively or negatively.

Therefore, based on the information illustrated, the correct option is D.

Learn more about consumers on:

https://brainly.com/question/380037

#SPJ1

Answer:

See step by step

Step-by-step explanation:

Answer:

S = 2

Step-by-step explanation:

1st step: Simplify both sides of the equation

4/5 s - 3/4 s = 1/10

4/5 s + -3/4 s = 1/10

(4/5 s + -3/4 s) = 1/10 (combine like terms)

1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

Answer:

Average of 15 students in each Sunday school class.

Step-by-step explanation:

The average (or arithmetic mean) number of students per class, is the total number of students divided by the number of classes. In this case:

225/15 = 15

average of 15 students per Sunday school class.

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)

Answer:

because 1 is the smallest factor of a multiple and greatest factor of a multiple is the multiple itself

Step-by-step explanation:

hope that help and u can understand it :\

Answer:

Step-by-step explanation:

[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]

Answer:

3x+10+y

Step-by-step explanation:

5x-y-3x+10+x+2y

5x-3x+x+10-y+2y

3x+10+y

Answer:

3x+y+10

Step-by-step explanation:

Since we are trying to combine like terms, we must rearrange the terms, and  group the terms with an x, together, a y together, and the constants. Doing that, we get

(5x+x-3x)+(2y-y)+10

Now we start with the x terms, and we add 5x+x=6x and then 6x-3x= 3x, so you have 3x, and now for the y terms

we have 2y-y=y and lastly we have a ten, so adding them together, we get

3x+y+10

Answer:

4.35

Step-by-step explanation:

The fraction is 23/5.

To find the fraction of given problem.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

Let the two fractions be a/b  and  c/d then:

a/b−c/d=ad−bc/bd

It must have like denominators to subtract fractions.

For = 9 1/10 - 4 3/4= 9 1/10 - 19/4

Taking LCM of 10 and 4 is 20.

=9 1/10 - 19/4

=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]

After cancel out numerator and denominators

=23/5

So, the fraction is 23/5.

Learn more about fraction here:

https://brainly.com/question/17314663

#SPJ2

Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

[tex]4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6[/tex]

2.

[tex]6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2[/tex]

3.

[tex]-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6[/tex]

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

3/20

Answer:

the answer is most likely A

Step-by-step explanation:

Answer:

The slope of the line given by the equation is two.

Step-by-step explanation:

We are given the equation:

[tex]y+5=2(x+1)[/tex]

Notice that the equation is written in point-slope form. That is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope.

From our given equation, we can see that m = 2.

Therefore, the slope of the given line is 2.

Answer:

2

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

Answer:

width are 33 dimensions