Find the GCF of the terms of the polynomial

Answer:

it's a trapezoid

Step-by-step explanation:

((major base + minor base) x height) / 2

((7+5)x8) / 2 = 52

Answer:

0.3897

Step-by-step explanation: i g o o g l e it

Answer:

Part A: so the GCF is 3y, 

We need to rewrite the equation such as: 

-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3

It will look like this: 

3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y

We then need to factor out 3y:

3y(x^3 + 4x - 3x^2 - 12)

Part b: factor out completely

3y(x^3 + 4x - 3x^2 - 12)

So, we need to do the following:

3y{x^2(x-3) + 4 (x-3)}

we then get the final factor: 3y(x - 3) (x^2 + 4)

Step-by-step explanation:

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

------------------------

To factor the expression:

------------------------

The expression is:

[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]

------------------------

The numeric coefficients are: 3, 12, 9, 36

The gcf of the numeric coefficients is:

3 - 12 - 9 - 36|3

1 - 4 - 3 - 12

The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.

------------------------

The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]

The only common term is y, so y is the gcf of the symbolic coefficients.

------------------------

The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.

Now, to factore the expression:

[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

A similar problem is given at https://brainly.com/question/20691631

Answer:

D. x = 7 and x = 14

Step-by-step explanation:

this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0

Answer:

-14x² + 7x + 42

Step-by-step explanation:

(2x + 3)(x - 2) = 2x² - 4x + 3x - 6  =  2x² - x - 6

-7(2x² - x - 6) = -14x² + 7x + 42

Answer:

Option B

Step-by-step explanation:

Answer: no

Step-by-step explanation:

cause rectangles are quadrilaterals but they have two uneven sides.

Answer: 18 0/1

Step-by-step explanation:

The graph that represents a function is graph X

For a graph to represent a function, then the graph must pass the vertical line test.

This means that, no two output values of the graph must have the same input value.

The above statement can be interpreted as:

For every x value, there must be exactly one corresponding y value.

From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.

Hence, the graph X represents a function

Read more about graphs and functions at:

https://brainly.com/question/3939432

Answer:

the answer is x ! hope this helps

Step-by-step explanation:

i took the test

Answer:D. The m<4 is 137°

(I did that before)

Answer:

x < -7, x > 9.

Step-by-step explanation:

Solve for x.

x = -7, 9

From the values of x above, we have these 3 intervals to test.

[tex]x < - 7[/tex]

[tex] - 7 <x < 9[/tex]

[tex]x > 9[/tex]

Pick a test point for each interval.

For the interval x < −7:

Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.

After simplifying, we get 17>0, which is true

Keep this interval.

Let's pick x=0. Then, (0+7)(0-9) > 0.

After simplifying, we get −63 > 0, which is false.

Drop this interval.

For the interval x > 9:

Let's pick x=10. Then, (10+7)(10-9)>0.

After simplifying, we get 17 > 0, which is true

Keep this interval.

Therefor, the answer is x < -7, x > 9.

9514 1404 393

Answer:

  270 km

Step-by-step explanation:

Distance is related to speed and time by ...

  distance = speed · time

  distance = (90 km/h)(3 h) = 270 km

The car will travel 270 km in 3 hours.

Answer:

here is the answer

Step-by-step explanation:

you may please search it

Answer: C. (-3, 9)

Step-by-step explanation:

Given

2|x-3|=12

Divide both sides by 2

2|x-3|/2=12/2

|x-3|=6

Take of absolute value sign (REMEMBER need to take into consideration of two conditions)

x-3=±6

1)x-3=6

     x=9

2)x-3=-6

      x=-3

**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

Please let me know if you have any questions

Answer: 3 out of 27 chance

Step-by-step explanation:

Answer:

11494.04 units

Step-by-step explanation:

V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032

Answer:

f < 7

Step-by-step explanation:

f can be any number that is less than 7

Answer:

6 and less will give you a number less then 9

Step-by-step explanation:

We know its not 7

because 7 + 2 < 9 = 9 = 9

we want something that is less then 9

1 up to 7 would give you an answer less then 9

6 + 2< 9 = 8 < 9

5 + 2 < 9 = 7 < 9

4 + 2 < 9 = 6 < 9

and more

9514 1404 393

Answer:

  23) insufficient number of corresponding sides/angles

  24) insufficient number of corresponding sides/angles

Step-by-step explanation:

In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)

__

23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)

  Reason: insufficient data

__

24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.

  Reason: insufficient data

Answer:

2

Step-by-step explanation:

Constants in an equation represents numbers. They are not attached to any variable. Given the equation y = 3x + 2, you will see that the term that is standing alone without  a variable here is 2. This shows that the constant used in the equation is 2

Answer:

C) 10, 1.83

Step-by-step explanation:

Answer:

should be D) = 10, = 1.83

Step-by-step explanation:

guessed it right, edge 23

Answer:

r = 29.82

Step-by-step explanation:

We have the equation r/7.1 = 4.2 and are asked to solve for r.

To solve, we need to isolate r, do as followed and multiply 7.1 from both sides:

r/7.1 = 4.2

r = 29.82

Answer:

r = 29.82

Step-by-step explanation:

[tex]\frac{r}{7.1} = 4.2[/tex]

The opposite of division is multiplication, you will need to multiply 7.1 to both sides.

That would leave:

r = 4.2 (7.1)

r = 29.82

If there are further instructions for rounding, you can round.

Have a nice day!

Answer:

3/8

Step-by-step explanation:

You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.

Answer:

x = 5

Step-by-step explanation:

6x + 3 = 9x - 12

     +12         +12

6x + 15 = 9x

-6x         -6x

15 = 3x

/3    /3

x = 5

To check work:

6(5) + 3 = 9(5) - 12

30 + 3 = 45 - 12

33 = 33

Answer:

[tex]area = \frac{1}{2} \times 21 \times 17 \\ area = 178.5 {mm}^{2} [/tex]

Answer:

Standard Description: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

Step-by-step explanation:

the explanation and answer is there in above

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Given values:

[tex]The \ population\ mean(\bar{x})=50\\\\The \ sample \ mean, \mu =49\\\\standard \ deviation, \sigma =2.3\\\\ (n)=25\\\\null, H_o :\ \mu=50\\\\alternate, H_1 :\ \mu<50\\\\ testing \ the \ statistic (t) = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt(n)}}\\\\to = \frac{49-50}{\frac{2.3}{\sqrt{25}}}\\\\to =-2.1739\\\\| to | =2.1739\\\\p-value\ :left \ tail - H_a : (p < -2.1739 )=0.0199\\\\null, H_o: \ \mu=50\\\\alternate, H_1: \ \mu<50\\\\test \ statistic: \ -2.1739\\\\p-value: 0.0199 \sim 0.02\\\\[/tex]

Therefore, the 0.02 p-value is sufficient proof to reject the claim form of the manufacturer.

9514 1404 393

Answer:

  2000, 3000, 7000

Step-by-step explanation:

The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.

The girls get 2000 : 3000 : 7000.

Answer:

the best way when I get 100% on them is to explain your view like I disagree with this statement because or agree with this statement and for the conclusion in conclusion of all the facts and statement we have viewed.

Answer:

California, Louisiana, New Mexico, Wyoming, Colorado

Step-by-step explanation:

Simple order sense

The order of states from least to greatest elevation is:

California, Louisiana, New Mexico, Wyoming, and Colorado.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Arranging the states in order from lowest to highest elevation:

State          Lowest Elevation (ft)

California    -282

Louisiana      -8

New Mexico  2842

Wyoming     3099

Colorado      3350

Therefore,

The order of states from least to greatest elevation is:

California, Louisiana, New Mexico, Wyoming, and Colorado.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2