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Mama L [17]
3 years ago
9

Given: F(x) = 3x 2 + 1, G(x) = 2x - 3, H(x) = x

Mathematics
1 answer:
Mrac [35]3 years ago
6 0
Closest is C

- Your welcome
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Samuel is solving the equation 3(x - 1) + 4 = 2 - (x + 3). Which equivalent equations might Samuel use? Select the TWO correct a
mote1985 [20]

A= 3, and 4. (c & d)

1. Solve the Equation: 3(x - 1) + 4 = 2 - (x + 3)\\, to get

------------------------------------------

1a. Use the distributive property to multiply 3 by x−1.

3x−3+4=2−(x+3)

1b. Add −3 and 4 to get 1.

3x+1=2−(x+3)

1c. To find the opposite of x+3, find the opposite of each term.

3x+1=2−x−3

1d. Subtract 3 from 2 to get −1.

3x+1=−1−x

1e. Add x to both sides.

3x+1+x=−1

1f. Combine 3x and x to get 4x.

4x+1=−1

1g. Subtract 1 from both sides.

4x=−1−1

1h. Subtract 1 from −1 to get −2.

4x=−2

1i. Divide both sides by 4.

x=4−2​

1j. Reduce the fraction 4−2​=−0.5 to lowest terms by extracting and canceling out 2.

x=−21​ or x = -21

-------------------------------------

Now that you know the answers, solve the others:

2. A= 1, so this is wrong. How I solved it is shown below:

-----------------------------------

1a. Add −3 and 4 to get 1.

3x+1=2−x+3

1b. Add 2 and 3 to get 5.

3x+1=5−x

1c. Add x to both sides.

3x+1+x=5

1d. Combine 3x and x to get 4x.

4x+1=5

1e. Subtract 1 from both sides.

4x=5−1

1f. Subtract 1 from 5 to get 4.

4x=4

1g.Divide both sides by 4.

x=44​

1h. Divide 4 by 4 to get 1.

x=1

----------------------------

3. A= .5, so it is Correct. Work below

-----------------------------

3a. Add x to both sides.

3x+3+x=5

3b. Combine 3x and x to get 4x.

4x+3=5

3c. Subtract 3 from both sides.

4x=5−3

3d. Subtract 3 from 5 to get 2.

4x=2

3e. Divide both sides by 4.

x=42​

3f. Reduce the fraction 42​=0.5 to lowest terms by extracting and canceling out 2.

x=21​ (A = 1/2 or .5)

-----------------------------

4. A= .5, so it is correct. Work below. Now we have our 2, so we don't need to do it again.

-------------------------------

4a. Add −1 and 4 to get 3.

3x+3=2−x+3

4b. Add 2 and 3 to get 5.

3x+3=5−x

4c. Add x to both sides.

3x+3+x=5

4d. Combine 3x and x to get 4x.

4x+3=5

4e. Subtract 3 from both sides.

4x=5−3

4f. Subtract 3 from 5 to get 2.

4x=2

4g. Divide both sides by 4.

x=\frac{2}{4}

4h. Reduce the fraction 42​=0.5 to lowest terms by extracting and canceling out 2.

x=\frac{1}{2}

7 0
3 years ago
According to the box-and-whisker plot shown above, what are the following:
Readme [11.4K]

Answer:

  6.  80

  7.  60

  8.  100

  9.  40

  10.  110

Step-by-step explanation:

A box and whisker plot is a visual representation of the 5-number summary of a data set. The features of the plot are, left-to-right, the minimum, first quartile, median, third quartile, maximum.

You are being asked to identify the numerical value associated with each of these features.

__

The left whisker extends to the minimum of 40.

The left end of the box identifies the first quartile as 60.

The line in the middle of the box is the median, 80.

The right end of the box identifies the third quartile as 100.

The right whisker extends to the maximum of 110.

__

<em>Additional comment</em>

We hope you can rearrange the order of these numbers to suit the order in which the questions ask for them.

4 0
2 years ago
Alice's garden produced 17 yellow tomatoes this year. She also grew 18 roma
Sever21 [200]

Answer:

C

Step-by-step explanation:

You add both types of tomatoes together to get the total amount of tomatoes

4 0
3 years ago
The radius of a circle is 9.7m. find the circumference to the nearest tenth
ludmilkaskok [199]

Answer:

61.0

Step-by-step explanation:

Formula for Circle

2πr

π = 3.14

r = Radius

5 0
3 years ago
A = 4 units B= 3 units C= 3.5. D= 5 units
aliya0001 [1]

D would be the correct answer.

Explanation

a^2+b^2=c^2

4^2+3^2=c^2

16+9

25 units

4 0
3 years ago
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