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3 years ago

Simplify: 4x + 6(3x - 2)

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

Answer:

2 • (2x - 3) • (3x - 2)

Step-by-step explanation:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

4x + 6(3x -2)

First distribute

4x + 18x - 12

Combine like terms

22x - 12

Step-by-step explanation:

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6th grade math Help plz

irina1246 [14]

How do you say that having any confusion he said wouldn’t be able to consist of all the new stages

8 0

3 years ago

The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?

frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

x = 16

There are 16 oranges in the basket.

Hope that helps.

3 0

3 years ago

Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)

raketka [301]

Answer:

$g(-2)=20$

Step-by-step explanation:

Given $g(x)=2x^2-2x+8$ , substitute what is in the parentheses for $x$ to find an output.

For $g(-2)$ , the term $-2$ is in the parentheses. Thus, substitute $x=-2$ into $2x^2-2x+8$ to find $g(-2)$ :

$g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}$

5 0

3 years ago

Read 2 more answers

Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

Answer:

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

Solution:

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

Write an equation in point-slope form of the line that passes through (3, -8) and (7,-2).

sashaice [31]

Answer:

A line that passes through (3, -8) and (7,-2).

Denote equation of that line: y = ax + b

=> Slope a can be directly determined by:

a = (7 - 3)/(-2 - -8) = 4/6 = 2/3

=> y = (2/3)x + b

This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10

=> y =(2/3)x - 10

There are other ways to find equation of line.

Hope this helps!

3 0

3 years ago

Read 2 more answers