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astraxan [27]
2 years ago
9

Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Note: The expression is missing. Consider the expression is 8a+16c.

Given:

The expression is

8a+16c

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

8a+16c

Factors of each term:

8a=2\times 2\times 2\times a

16c=2\times 2\times 2\times 2\times c

The common factors are 2, 2 and 2. So,

GCF(8a+16c)=2\times 2\times 2

GCF(8a+16c)=8

Taking out the greater common factor (GCF) in the given expression, we get

8a+16c=8(a+2c)

Therefore, the required expression is 8(a+2c) and the correct option is C.

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HELP ASAP ALL THREE PLEASE 1. if a cyclic alkene has 12 carbon atoms, how many hydrogen atoms does it have 2.if a cyclic alkene
Marina CMI [18]

Answer:

1. 24

2. 6

3. No

Step-by-step explanation:

The formula for cyclic alkene is C^{n} H^{2n}, so if it has 12 carbon atoms, it will have double the amount of hydrogen atoms, therefore, 24 hydrogen atoms.

The same works in reverse. If we have 12 hydrogen atoms in this, then there will be half the amount of carbon atoms, therefore 6.

Since the relationship between Carbon and Hydrogen here is double and half, odd numbers can't be divided by 2 and end up with a whole number, so an odd number of hydrogen atoms is not possible.

Hope this helped!

5 0
3 years ago
Factor 65x^2+212x-133 completely
worty [1.4K]
65x^2 + 212x - 133
you have to use the quadratic formula 
x=( -b +/- √b²-4ac) / 2a
a is 65
b is 212
c is 133
because the first value is squared you will have 2 answers
x= 7/13
x= - 19/5

4 0
3 years ago
angie andKenny play online video games angie buys 1 software package and 3 months of game play. Kenny buys 1 software package an
Shkiper50 [21]
Angie buys 1 software package and 3 months of game play
Kenny buys 1 software package and 4 months of game play
price of each software package = $20
total cost = $117
cost of one month game play = ?
let y is the cost of one month play
Angie buys 3 months game play and paid $20 = 20 + 3y
Kenny buys 4 months game play and paid $20 = 20 + 4y
total cost of both is $117
So the equation becomes,
(20 + 3y) + (20 + 4y) = 117
7y + 40 = 117
7y = 117 - 40
7y = 77
dividing with 7 on both sides, we get
y = 11
so, $11 is the cost of one month game play
5 0
3 years ago
Richard and Georgia both wrote essays.
LenaWriter [7]

Answer: a) Georgia, b) 120 words

Step-by-step explanation:

We can calculate how many words they each wrote by multiplying their time and the rate at which they write words.

Richard: 45*16 = 720 words total

Georgia: 70*12 = 840 words total.

Therefore, Georgia wrote 120 more words.

3 0
2 years ago
Read 2 more answers
The graph below does not represent a function. Explain why.
Simora [160]

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

6 0
3 years ago
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