What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3

Answer:

The answer is 18

Step-by-step explanation:

18 + x really means 18 + 0, because x is equal to 0

and if 18 + x = y, it means 18 + 0 = y,

so y is equal to 18

hope this helped!

Answer:

slope = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex]  are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]

Thus, the slope is [tex]-\frac{1}{8}[/tex].

Answer:

x = 9/11

Step-by-step explanation:

5x = -6x + 9

Add 6x to both sides

11x = 9

Divide both sides by 11

x = 9/11

Answer:
X Equals 9/11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

i think it is b but i am not 100%

sorry if i am wrong

Step-by-step explanation:

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

Answer:

y= 5/7x -2.7

Step-by-step explanation:

Y= mx + c                             (-3,-3)   (4,2)

                                           x1  , y1     x2, y2

to find m (gradient)

y^2 - y^1 / x^2 - x^1

2-(-3) / 4 - (-3)

5/7                               m = 5/7

take (4,2)  and gradient and substitute

2=5/7(4) + c

2=4.7+ c

2-4.7 = c

-2.7 = c

now we have c and m so just put it in the equation

y= 5/7x -2.7

Answer:

4/30 or 4/120

Step-by-step explanation:

Answer:

.9

Step-by-step explanation:

-1(t+8) = -7.1

PEMDAS

So times the parenthesis by -1

-t - 8 = -7.1

Add the 8 to itself to get rid of it

Then since you added it on the left, add it to the right

-t = .9

t = .9

awnscer is 6.72 sorry could not find a diagram

Answer:

The answer is 6.72

Step-by-step explanation:

what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.

Answer

(3x-3)

Step-by-step explanation:

Answer:

Is that all...

Step-by-step explanation:

Is there any other information if not then it is impossible to answer that question.

Answer:

fist one is 36 and the second one is 238

Step-by-step explanation:

to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer

Answer:

I can't see it

Step-by-step explanation:

We need a bigger picture.

Answer:

11a - 8b.

Step-by-step explanation:

7a + 4(a-2b)

= 7a + 4a - 8b

= 11a - 8b.

Answer: No, he is not correct, the correct equation is:

225 + 2*r = 1475

Solving that, we can find that each bag of raisins has 625 grams of raisins.

Step-by-step explanation:

I suppose that the problem is as follows:

"Sam had 225 grams of raisins. After buying another two bags of raisins he then had  1475 grams of raisins"

Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:

2*r grams of raisings.

Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:

225 + 2*r = 1475

This is what he should get.

and we can solve it for r, to get:

2*r = 1475 - 225 = 1250

r = 1250/2 = 625

r = 625

This means that each bag of raisins has 625 grams of raisins.

But instead, he got:

225*r + 2 = 1475

In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.

Answer:

The time it will take is 8hours 45mins.

Step-by-step explanation:

Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.

A descent of 2100 means y = –2100. Hence,

–2100 = –240x

x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).

jackson

Step-by-step explanation:

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

Answer:

27x^3+3x^2+9x

Step-by-step explanation:

The alternate interior angles shown are <3 and <5, as well as <2 and <8.

I hope this helped!

Answer:

ur answer would be

<2 and <5

step-by-step explanation:

hope this helps

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

Answer:

y = -x -1

Step-by-step explanation:

x1= 0, y1= -1

[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]

-1 = x/(y+1)

-1 (y+1) = x

y+1 = -x

y= -x -1

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

      +14 +14        Add 14 on both sides

  5/7x = -8        

(7/5)*5/7x = -8*(7/5)     Multiply by the reciprocal on both sides to leave x alone

  x= -11.2      Answer

Hi there,

Answer is: 4 months, because 4 plus 4 is 8.

Explanation: 4/1/2 ; 8/1/2

How to get 4/1/2 ; 8/1/2

So you add 4 to get 8 and 4 plus 4 is 8.