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mariarad [96]
4 years ago
9

What is the greatest common factor of the terms in the polynomial

Mathematics
1 answer:
ruslelena [56]4 years ago
7 0

Answer:

4x^2

Step-by-step explanation:

The greatest common factor is the greatest number that can divide the terms. The greatest number that can divide each term is 4, and the greatest power of x that can divide each term is x^2. This is because it can't be any number greater than 4 since that number would never be able to divide into 4. This is also the reason why x^2 is the greatest power possible. It cannot be greater than anything divisible by itself. Thus, you multiply 4 by x^2 and the answer is 4x^2.

You might be interested in
Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2
miskamm [114]

Answer:

\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

\dfrac{x}{y}=-1

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

x-y=\dfrac{-3}{2}\ .....(2)

Use equation (1) in (2),

-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}

From equation (1) : x=\dfrac{-3}{4}

Hence, two numbers are \dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}.

4 0
3 years ago
Three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen.
Alexxx [7]

Answer:

x = 2 | y = 3. ( 2,3 )

Step-by-step explanation:

2(3x + 3y = 15)

6x + 6y = 30

3(4x + 2y = 14)

12x + 6y = 42

- 6x. -6y. -30

6x = 12

÷ 6. ÷6

x = 2

3x + 3y = 15

3(2) + 3y = 15

6 + 3y = 15

-6. -6

3y = 9

÷3. ÷3

y = 3

3 0
3 years ago
Consider f(x) = bWhich statement(s) are true for 0 < b < 1? Check all that apply.
Ira Lisetskai [31]

Answer:

The domain is all real numbers.

The function is always decreasing

Step-by-step explanation:

Assuming the given function is

f(x) =  {b}^{x}

for

0 \:  <  \: b \:  <  \: 1

Then f(x) is an exponential decay function.

This means that, the domain will be all real numbers.

The range will be y<0

The y-intercept is (0,-1)

There is no x-intercept.

The graph is a decreasing function.

4 0
3 years ago
So that you're coming purpose of each circle and find the radius and diameter below the circle
oksano4ka [1.4K]

Answer:

1.

The radius is given, so the radius is = 10

The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter

And to solve for circumference, your formula is;

C = 2πr

Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.

Plug in your values:-

C = 2πr

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8, so your circumference is 62.8.

2.

Your radius is half of your diameter, so,

D/2 = R

D = diameter

R = Radius

49/2 = 24.5 is your radius.

Your diameter is given, so the diameter is 49.

Use the formula we applied for circumference in our other problem;

C = 2πr

C = 2(3.14) x 24.5

C = 6.28 x 24.5

C = 153.86, so 153.86 is your circumference.

3 0
2 years ago
A room that measures 12 feet by 9 feet needs new flooring. Wood flooring costs $2.70 per square foot. How much will it cost to c
Korvikt [17]
The answer is 291.60 because you multiply 12 x 9 which equals 108 then multiply 108 x 2.70 which equals 291.60
7 0
3 years ago
Read 2 more answers
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