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jenyasd209 [6]
3 years ago
8

A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sam

ple mathematical work?
Given 3x + 6, the factors of the first term are 3 and x, and the factors of the second term are 1, 2, 3, and 6. Thus, the greatest common factor is 3. Dividing through by the greatest common factor, I get x + 3. Thus, the factored polynomial is 3(x + 3).
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
The choices are:

<span>A. The student identified the greatest common factor incorrectly.
B. The student incorrectly divided each term by the greatest common factor.
C. The student failed to simplify the expression.
D. The mathematical work shown is correct.</span>

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.
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The surface area of a tabletop is 5760 square inches. What expression shows this number in scientific notation?
aniked [119]
The answer is C

5.76 x 10 ^3 means you move the decimal 3 times:

57.6> 576.0> 5760
8 0
4 years ago
The sum of two numbers is 120. Three times
alexgriva [62]

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

6 0
3 years ago
The speed of light is approximately 299,000,000 meters per second.
jek_recluse [69]

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form of a \times 10^n, where  1\leq a < 10  and  n is any positive or negative whole number.

To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

Therefore, the speed of light using scientific notation is:

  • 2.99 x 10⁸ meters per second
7 0
2 years ago
Find the vertex of the parabola by completing the square x^2-6x+8=y
valentina_108 [34]
1. Arrange all the terms containing y on the left side and all other terms on the right hand side.
-y = -x^2 + 6x - 8

2. Complete the square on the right side of the equation.
(x-3)^2 - 1

3. Reorder the right side of the equation to match the vertex form of a parabola.

4. Use the vertex form, y = a(x - y)^2 + k, to determine the values of a, h, and k.
a = 1, h = 3, k = -1

5. Find the vertex (h, k).
(3, -1)
5 0
4 years ago
Which expression is equivalent to 5z+8-2z+4
miv72 [106K]

Answer:

3 z + 12

Step-by-step explanation:

5 0
3 years ago
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