MATHEMATICS HIGH SCHOOL

Expand and simplify
4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)

Answers

Answer 1
Answer: 4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)\n-----------------------\nuse\ distributive\ property:a(b-c)=ab+ac\n-----------------------\n=4a^2b^2-4a^2c+2a^2b^2-2abc-a^2c-2abc\n=(4a^2b^2+2a^2b^2)+(-4a^2c-a^2c)+(-2abc-2abc)\n\n=\boxed{6a^2b^2-5a^2c-4abc}
Answer 2
Answer: 4a²(b² - c) + 2ab(ab - c) - ac(a + 2b)
4a²(b²) - 4a²(c) + 2ab(ab) - 2ab(c) - ac(a) - ac(2b)
4a²b² - 4a²c + 2a²b² - 2abc - a²c - 2abc
4a²b² + 2a²b² - 4a²c - a²c - 2abc - 2abc
6a²b² - 5a²c - 4abc

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Solve the equation, -3|6n-2|+5=8
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What fraction has a value that's equal to 3/4

Answers

Fractions are always represented in the numerator and denominator forms.

The final fraction form that is equivalent to 3/4 is 6/8, 9/12.

How to calculate the fractions?

The below expressions can give us a better idea to solve any fractions.

(a/b)/(c/d)=(a * d)/( b * c)

Calculations:

\begin{aligned}(3)/(4)&=(3 * 2)/(2 * 4)\n&=(6)/(8) \end{aligned}

Thus, the value of the final fraction is 6/8.

To know more about the fractions, please refer to the link:

brainly.com/question/1301963
There are several fractions with values equal to 3/4. To find them, just multiply the numerator and denominator by the same number.

3 x 2 = 6
4 x 2 = 8

Therefore, 6/8 is equal to 3/4. You could do this with 4, too, to get 12/16, or any other number beyond that.

Hope this helps!

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Answers

from the information we have now we could write this equation:

ax+by=z
where
a - number of times she played arcade
x- prize of arcade
b- number of times of Ferris wheel
y- prize of Ferris
z- the whole allowance

so in order to make it a two-variable equasion we need to know the value of three more variables.

If let's say we know a, b, and z we could solve the problem of how much cheaper/more expensive the arcade is than ferris wheel (we could find something like x=2y, for example ( we don't know yet, we need more variables) so we'd know that one game is more expensive than the other.

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Work out 1 2/3 ÷ 2 3/4 ?

Answers

1 2/3 = 5/3
2 3/4 = 11/4
5/3 ÷ 11/4 = 5/3 × 4/11
= 20/33

Solve for x.
3(x + 5) - 2(x + 2) = 20

Answers

3(x + 5) - 2(x + 2) = 20

Distribute the 3 and -2.

3x + 15 -2x - 4 = 20

Simplify.

x + 11 = 20

Subtract 11 on both sides

x = 9

Your final answer is x = 9.

The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. Mean, because there are no outliers to affect the data Mean, because the distribution is symmetric for both bakeries Median, because there are outliers that affect both data sets Median, because the distribution for both bakeries is not symmetric

Answers

Bakery A Bakery B
15                 15
52                 16
51                 34
33                 35
57                 12
12                  9
45                36
46                17

Bakery A : mean = 38.875 median = 45.50 ; no outliers
Bakery B : mean = 21.75 median = 16.5 ; no outliers

Mean, because there are no outliers to affect the data

Answer:

Median, because the presence of an outlier affects the data

Step-by-step explanation:

A line has a slope of -1/2 and a y-intercept of 3.Which equations represent the line?

Choose all answers that are correct.

A. 2y = 6 + x


B. x + 2y = 6


C. y = -1/2x + 3


D. (y - 2) = -1/2( x - 2 )

Answers

One equation is: y = mx + b             (slope-intercept formula)

m = slope = -1/2

b = y-intercept = 3


y = mx + b          (replce m with -1/2 and 3 with b)

y = -1/2x + 3

The answer is C
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