Mathematics High School

what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10

Answers

Answer 1

Answer:

2 ( 3m -10) (3m+10)

Step-by-step explanation:

18m^2-200

Factor out 2

2 ( 9m^2 -100)

We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)

2 ( ( 3m)^2 - 10^2)

2 ( 3m -10) (3m+10)

Related Questions

Solve the system of linear equations by graphing
y=1/3x+5
y=2/3x+5
What is the solution

Answers

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

What is the value of x in the solution to this system of equations?

3x+5y=94
x=2y−9

Enter your answer in the box.

Answers

Answer:

x=13

Step-by-step explanation:

In Mrs. Little’s first period classroom, there are 15 boys
and 8 girls on the roster. However, she would like the ratio
of girls to boys to be higher. If Mrs. Schwartz plans to set
Mrs. Little’s classroom such that 2/5
of the total students are
girls, how many more girls must she add to the classroom
roster?

Answers

Step-by-step explanation:

2/5 = x/15+x

= 10

she must add 2 girls to have above 40%  girls in the class

pls give brainliest

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?

Answers

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

A music club charges an annual membership of $35.65 plus $12.99 for each CD purchased. If Naomi's total bill for the year was 178.54, how many CDs did she purchase.

Answers

Answer:

Step-by-step explanation:

178.54-35.65=142.89

then you do 142.89/12.99=11

She bought 11 CDs

(5x3+7x−8)+(2x3−5x2−x+3). Write the answer in standard form.

please provide explanation

Answers

Answer:

7 x^ 3 − 5 x ^2 + 6 x − 5

Step-by-step explanation:

PLEASE HELP!
functions:
w(x)=-2x+12
m(x)=1/2x-4
find m(2w(x))

Answers

Answer:12

Step-by-step explanation:

Renee has a total of 12 cookies in chocolate chip and peanut butter, C + P = 12. The number of chocolate chip cookies is three times the number of peanut butter cookies, C = 3P. How many of each type of cookie does she have?

Answers

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

Set up a system of equations in 2 variables.

Any help? Explanation would help massively too! Work out the length of AB

Answers

Answer:

Exact length = 2*sqrt(137)   cm

Approximate length = 23.409  cm

====================================================

Work Shown:

Use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + 22^2 = c^2

64 + 484 = c^2

548 = c^2

c^2 = 548

c = sqrt(548)

c = sqrt(4*137)

c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)

c = 2*sqrt(137)  .... this is the exact length

c = 23.4093998214392 ... use your calculator to find the approximate length

c = 23.409

I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.

The answer is the square root of 548

3/4(3x+6)−14(5x−24) How do I solve this

Answers

Answer:

1362−271x/4

​

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

  (3/4 * (3x+6))-14*(5x-24)          

STEP  2 :

     

Simplify   3/4

       

Equation at the end of step  2 :

  3                

 (— • (3x + 6)) -  14 • (5x - 24)

  4                

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x + 6  =   3 • (x + 2)  

Equation at the end of step

4

:

 9 • (x + 2)    

 ——————————— -  14 • (5x - 24)

      4          

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

                     14 • (5x - 24)     14 • (5x - 24) • 4

   14 • (5x - 24) =  ——————————————  =  ——————————————————

                           1                    4          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • (x+2) - (14 • (5x-24) • 4)     1362 - 271x

——————————————————————————————  =  ———————————

              4                         4      

Final result :

 1362 - 271x

 ———————————

      4  

The height of 2 ball in meters is given by the quadratic equation y= -5+² +14t +3, where t is the time in seconds. After how many
seconds will the ball hit the ground?

Answers

Answer: after 3 seconds

when  the ball hit the ground => - 5t² + 14t + 3 = 0

⇔ (5t + 1)(t - 3) = 0

⇔ t = 3 or t = -1/5

but t  is a positive integer => t = 3

so the ball will hit the ground after 3 seconds

Step-by-step explanation:

WILL GIVE BRAINLIEST!! How do we calculate relative frequencies?

Answers

Answer:

When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.

Step-by-step explanation:

Hey now you can give me a brainliest for actually giving an answer haha :)

Graph the ordered pairs for y=4x+2 using x={-2, 1, 2}

Answers

y=4x+2 tell me if i’m right or right

simplify

7^8 x 7^3 x 7^4
---------------------
7^9 x 7^5​

Answers

Step-by-step explanation:

According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.

Applying the above rule to the numerators,we have 7^(8+3+4)=7^15

Applying to the denominators we have,

7^(9+5)=7^14

Now we have 7^15/7^14=7

Please please help on the first question only! Will mark brainliest :)

Answers

Answer:

y=-25x+15

Step-by-step explanation:

I just used the y=mx+b equation and plugged in the numbers we know by the graph.

At a local school, students who cut classes receive detention. If they cut more classes, they spend more time in detention.

c = the number of classes cut
t = the amount of time spent in detention

Which variable is the independent variable?

Answers

Answer:

C is the independent variable, because the amount of time you spend in class, depends on how many classes are cut

Step-by-step explanation:

Please answer asap take ur time


Maya is going to an amusement park. The price of admission into the park is

$10, and once she is inside the park, she will have to pay $2 for every ride she

rides on. How much money would Maya have to pay in total if she goes on 15

rides? How much would she have to pay if she goes on r rides?

Answers

total= 40, rides= 30

What is the answer to this equation

Answers

The answer to that equation is that it has 8 sides

Find the smallest solution, and describe the steps you used...[tex]-5ex^{-4x+2}+3=\frac{1}{2}log(x^2+1)[/tex] IM GIVING 50 POINTS!!!

Answers

Answer:

You said that you're giving "50" points, but you're actually giving "25" points.

two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.

a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain

Answers

I believe it is A: find the average number of brown trout per cubic meter

Find the slope and the y-intercept of the graph of y + 1 = x.​

Answers

Answer: The slope is 4/3

Step-by-step explanation:

Whatever number is attatched to the "x" is the slope.

Answer:

Slope: M = 4/3

Y-Intercept: : (0,−1)

Step-by-step explanation:

The following triangles are similar. What is the missing side length x?

Answers

Answer : 4
Explanation : the second triangle is dilated by 2 .

If you answer both I will give Brainliest they have to be correct.Good luck

Answers

Answer:

3

Step-by-step explanation:

Answer:

5) 2     7) 4

Step-by-step explanation:

3/5 x 25 = 15

15 - 1 = 14 / 7 = 2 = x

25     20

---  =  ----

40    7x+4

25 x 4/5 = 20

40 x 4/5 = 32

32 - 4 = 28 / 7 = 4 = x

PLEASE HELP ME FASTT Lily likes to collect records. Last year she had 15 records in her collection. Now she has 18 records.
What is the percent increase of her collection?

Answers

Answer: it’s a 16.667% increase

Step-by-step explanation:

Because you increased from 15 to 18 which is 3 over a total of 18 now.

3/18=1/6=16.667%

Answer:

20%

Step-by-step explanation:

.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST

How many 0.1 slices of portabella mushroom will go on each boot long hoagie? 1.2 lbs of portabella divided by 0.4 lb

Answers

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is 4

-x-4y=-10 in ordered pai

Answers

Answer: x=−4y+10

Step-by-step explanation:

What does the "5" represent in 132/5

Answers

Answer:

the denominator

Step-by-step explanation:

So, say if you have 132 circles, and 5 are shaded in. That would be what 5 represents!

Hopefully, this helps! :D

Ask your question below.

11.43 round to the nearest number.

Answers

Answer:

11

Step-by-step explanation:

Since 4 is not 5 or higher you round down so it is just 11

Answer:

11.4

Step-by-step explanation:

give a step by step instructions

(just show ur work you don’t have to explain it)

it’s due today please help ;-;

Answers

Answer:

1. X-intercept is 5    Y-intercept is 4    (Red Line)

2. X-intercept is 1    Y-intercept is 2    (Blue Line)

3. X-intercept is -2   Y-intercept is 4   (Green Line)

Step-by-step explanation:

DESMOS graphing calculator. Here is the graph showing my work:

The volume of vegetable soup in a serving is proportional
to the mass of the serving. A 290 mL serving of vegetable
soup has a mass of 180 g. What is the mass of a 348 mL
serving of soup?

Answers

Answer:150

Step-by-step explanation:

The mass of 348mL serving soup is 216 grams

The serving is proportional; so, we have:

[tex]\mathbf{290mL = 180g}[/tex]

[tex]\mathbf{348mL = x}[/tex]

Where x represents the mass of 348mL serving soup.

Cross multiply.

So, we have:

[tex]\mathbf{x \times 290mL = 180g \times 348mL}[/tex]

Cancel out common units

[tex]\mathbf{x \times 290 = 180g \times 348}[/tex]

[tex]\mathbf{x \times 290 = 62640g}[/tex]

Divide both sides by 290

[tex]\mathbf{x = 216g}[/tex]

Hence, the mass of 348mL serving soup is 216 grams

Read more about proportional equations at:

https://brainly.com/question/894687

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