Question 9
3 pts
2
1
3.
4
If m 1 equals (4x + 2) and m23 equals (5x - 15), what is the value of x?
016
O 14
O 15
17

This question is not complete

Complete Question

Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.

Which student has made the correct choice? (1 point)

a) Delia chose 3y because she said that it was a factor of every term.

b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.

c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.

Answer:

c) Mike chose 6y because he said that it was the largest factor of every term.

Step-by-step explanation:

Step 1

Identify the GCF of the coefficients.

12x²y - 6xy + 18y²

Coefficients are :

12, 6, 18

The Greatest Common Factor for 12, 6, 18 =

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Identify the GCF of the variables.

x²y , xy, y²

The GCF of these variables is y

Step 3

Combine to both GCF's to obtain the GCF of the expression.

= 6 × y

= 6y

The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y

Step 4

We factorise

= 12x²y−6xy + 18y²

= 6y(2x² - x + 3y)

Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.

Mike is correct.

Answer:

the answer is the 2nd one

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

When you add a negative to positive the negative number gets bigger

hop this helps you ;)

pls mark brainlest :)

Answer:

22

Step-by-step explanation:

basically a - and a + together equals a - so it will be 25-3 which is 22

note:

- and + = -

+ and - = -

+ and + = +

- and - = -

HOPE THIS HELPS YOU :)

Answer:

1981

Step-by-step explanation:

3÷5,945

1981 for 1/3

Answer:

0 0 6

0 6 0

6 0 0

Step-by-step explanation:

Simple place value

Answer:

-17

Step-by-step explanation:

ok well I can't really see Sam and John's answer but -3-14 is equal to -17

if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:

-3+-14 then you just add.

With Sam and John whichever one had -17 as their answer is correct

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]

Answer:

x=4

Step-by-step explanation:

5x-x=15+1

4x÷4=16÷4

x=4

The solution to the given linear equation with one variable is 4.

The given equation is 5x-1=x+15.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, the equation can be solved as follows

5x-1=x+15

5x-x=15+1

4x=16

x=16/4

x=4

Therefore, the solution to the given equation is 4.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ6

Answer:

this the answer 4.5m

Step-by-step explanation:

formula 1/2(a+b)h

9514 1404 393

Answer:

  18 square meters

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The bases are the parallel line segments, and the height is the perpendicular distance between them.

  A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2

The area of the trapezoid is 18 square meters.

Answer:

(0,3)

Step-by-step explanation:

This is a problem from affine geometry, so doesn’t need any concept of distance that mixes x and y coordinates. We can just take each coordinate separately.

(1,5),(−5,−7),(,),=6

Usually in these sorts of problems with unknown B we’re given the ratio AB:BC; here we have the slightly unusual and easier AB:AC.

The difference of the given points  −=(6,12) .

Since  =6  we know  −=16(−)=(1,2)

So  =−(1,2)=(1,5)−(1,2)

=(0,3)

Answer:

x+3x=144

4x=144

144/4=36

X=36

Step-by-step explanation:

Answer: $D - $R

Step-by-step explanation:

Given the following :

Amount Jen had initially = $D

Amount had after purchasing video = $R

Amount she paid for the video =?

Amount she paid for video = ( Initial amount had before purchasing video - amount had after purchasing video)

Hence,

Amount paid for video = $D - $R

Answer:

p=6

Step-by-step explanation:

-9p=6- 10p

-9p+10p=6

1p=6

p=6/1

p=6

Answer:

Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"

Answer: so it is 2

Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes

Answer:

my guess would have to be a= -9   (negative nine)

Step-by-step explanation:

sorry, i tried solving the problem otherwise and couldn't get an answer, good luck

Answer:

x=-5

Step-by-step explanation:

[tex]3x-7=7x+13\\\\3x-7+7=7x+13+7\\\\3x=7x+20\\\\3x-7x=7x+20-7x\\\\-4x=20\\\\\frac{-1}{4}(-4x) =\frac{-1}{4}(20)\\\\x=-5[/tex]

Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

Line GH bisects angle FGI, that means angle FGH = angle HGI

the value of x and angle FGI

angle FGH = angle HGI

6x - 11 = 4x + 7

or, 6x - 4x = 7 + 11

or, 2x = 18

or, x = 18/2 = 9

angle FGI = angle FGH + angle HGI

or, angle FGI = 6x - 11 + 4x + 7

or, angle FGI = 10x - 4

By putting the value of x, we get

angle FGI = 10(9) - 4

or, angle FGI = 90 - 4 = 86°

The value of x is 9.

Angle FGI = 86°

Answer:

5 minutes

Step-by-step explanation:

5 people take 5 minutes to make 5 toys

1 person takes 25 minutes to make 5 toys

100 people take 0.25 minutes to make 5 toys

100 people take 0.05 minutes to make 1 toy

100 people take 5 minutes to make 100 toys

We know 3x16=48

Since there is a minus sign, the answer is -48.

:)

Answer:

-6.8

Step-by-step explanation:

it is closer to 0 and so it is more than the -14.2

Answer:

3/8

Step-by-step explanation:

3/5 × 5/8

Multiply the numerators and denominators respectively

15/40

Simplify

3/8

Answer: The length of a side of the square is given by x

The length of a side of the equilateral triangle is given by x=1

Given is : The perimeter of a square is equal to the perimeter of an equilateral triangle.

Perimeter of square is given as 4 x side.

Perimeter of equilateral triangle is given as 3 x side.

So, we will make both equal.

As x = 1 for triangle, the equation becomes:

4x=3

so x=3/4

Step-by-step explanation:

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55