Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.

g(x)=x3−x2−20x; x+4
g(x)=

Answer:

21/40

Step-by-step explanation:

First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced

In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6

You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6

Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3

Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

Answer:

Multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Step-by-step explanation:

Let the first five multiples of ten be

10*1= 10

10*2= 20

10*3=30

10*4=40

10*5= 50

Suppose we chose 20 and 50.

Now multiplying 20 with 50 we get

20*50= 1000

IF we count the total number of zeros in the factors ( 20 and 50) they are 2.

But the number of zeros in the product (1000) are 3.

This is because when we multiply 2 with 5 we get 10 which adds to the existing number of zeros ( i.e 2) and we get a total of 3 zeros.

And multiplying 10 with 50 we get

10*50= 500

IF we count the total number of zeros in the factors ( 10 and 50) they are 2.

But the number of zeros in the product (500) are also 2.

This is because when we multiply 1 with 5 we get 5 which does not add to the existing number of zeros ( i.e 2) and the total number of zeros remain the same.

Similarly multiplying 20 with 30 we get

20*30= 600

IF we count the total number of zeros in the factors ( 20 and 30) they are 2.

But the number of zeros in the product (600) are also 2.

This is because when we multiply 2 with 3 we get 6 which does not have a zero and the total  number of zeros remain the same as in the factors.

So we see that multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Answer:

510  

that the whole number

Answer:

[tex]\frac{3}{2} x[/tex] - 2

Step-by-step explanation:

1/2 (2+ 3x -6)

1/2(3x-4)

3/2x - 2

You do the parentheses first because of PEDMAS.  So 1 combined the 2 and the -6.

Answer:

The first answer (3/2x - 5)

Step-by-step explanation:

You need to multiply 1/2 by 2 which gives you 1.  then when you multiply 1/2 by 3, you can't make it a whole number, so you make it a fraction and it then becomes 3/2x.  Lastly, you do 1/2 times -6 which gives you -3.  The equation goes from 1/2(2+3x-6) to then 1+3/2x-3.  Since 1 and 3 can be subtracted because they're both whole numbers, you do 1-6 which gives you -5.  The answer then becomes 3/2x -5

Hope this helped

Answer:

The last one

Linear function basically means that theres a straight line there that does not curve or change direction

Answer:

D (the last choice)

Step-by-step explanation:

This would be a linear function because it is the only one that is a straight line.

Answer:

4

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

If your diameter is 12cm then radius is = 6cm and to find the area use the formula pi.r. power 2.....

hope it helps you,

mark me as the brainliest....

Follow me

Answer:

y = -1/3x - 5

Step-by-step explanation:

First, we need to get y by itself so we subtract x from both sides, giving us:  3y = -x - 15

Secondly, we need to isolate the y, so we divided the 3 out on both sides giving us: y = -1/3x - 5 which is our answer.

Answer:

Answer is C

Step-by-step explanat

Answer:

44

Step-by-step explanation:

22/25 = not blue

22 × 2 = 44

Answer:

1, 4, and 5

Step-by-step explanation:

18-2x5

18-10

8

6+4x4

6+16

22

6x9-9

54-9

45

7x9+1

63+1

64

4x6-6

24-6

18

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

Answer:

3) yes

4) yes

5) yes

6) no

Step-by-step explanation:

the coordinites that are in the blue shaded area are yes

Answer:

First you mark me Brainlyist

Step-by-step explanation:

Then you you use the intervol of I don’t know then you ask someone else

Step-by-step explanation:

When k = 10

Then

k + 26

= 10 + 26

= 36

Hope it will help :)

Answer:

36

Step-by-step explanation:

k = 10

k + 26 =

10 + 26 =

36

Answer:

-4≤y≤7

Step-by-step explanation:

4y-3y≤7

y≤7

and

3y-5y≤8

-2y≤8

y≥-4

so, -4≤y≤7

9514 1404 393

Answer:

  -4 ≤ y ≤ 7

Step-by-step explanation:

Solve the inequalities separately, then identify the intersection of the solution sets.

4y -7 ≤ 3y

  y -7 ≤ 0 . . . . . . . subtract 3y

  y ≤ 7 . . . . . . . . . add 7

3y ≤ 5y +8

  0 ≤ 2y +8 . . . . . . subtract 3y

  -8 ≤ 2y . . . . . . . . . subtract 8

  -4 ≤ y . . . . . . . . . . divide by 2

The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...

  -4 ≤ y ≤ 7

Answer: x=12

Step-by-step explanation:

1/3 x -4

1/3x=4               <---- First add 4 to each side of the equation (moves the "-4")

1/3x(3)=4(3)     <---- Muliply each side by "3" to get rid of the fraction

x=12

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).

5=x/6

Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.

5×6=(x/6)×6

5×6=x

30=x

I hope this helps!

Answer: $87

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

Answer:

Yes

No

No

Yes

Step-by-step explanation:

Is this ALEKS?

Answer:

-8 , -4 is a yes

1,4 is a yes

0, -7 is No

-3. -2 is No

Step-by-step explanation:

Pls branliest—0

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

Answer:

g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

Answer:

X=8

Step-by-step explanation: