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fiasKO [112]
3 years ago
8

Use distributive law to factor the given expression: 3+21a+15b

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

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Answer:

*In Explanation

Step-by-step explanation:

<u>1) Start by just substituting the value of x (given in equation 1) into the second equation:</u>

y = 3x - 1

y = 3(2) - 1

y = 6-1 = 5

<u>2) Since both equations have x on one side, make both equations equal to one another:</u>

2y + 4 = 9 - 3y

<u>Solve for y:</u>

5y = 5

y = 1

<u>Plug y = 1 into either one of the given equations and solve for x:</u>

I'll use first equation:

x = 2y + 4

x = 2(1) + 4

x = 6

<u>3) When substituting X into the second equation, remember to use parenthesis:</u>

The student was substituting x from equation 1 into equation 2, but they forgot to multiply ALL of 2y + 3 by 2.

x = 2y + 3

Substitute into 2nd eqn:

y = 2(2y + 3) - 9

7 0
3 years ago
What is the best interpretation of c(20) = 65 in terms of the problerm?
Levart [38]

Answer:

I think C would be 3.25

Step-by-step explanation:

Because if you divide 65/20+3.25 sorry if i'm wrong.

5 0
3 years ago
Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?
Ugo [173]

Answer:

3 and 5 is the correct answer in this question

Step-by-step explanation:

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1 year ago
Suppose we select, without looking, one marbles from a bag containing 4 red marbles and 10 green marbles.what is the probability
OlgaM077 [116]
Since 10 out of 14 marbles are green, the probability of selecting a green marble is 10/14=0.714.

Similarly, the probability of selecting a red marble would be 4/14.

Answer: 0.714


5 0
2 years ago
Solve the following system of equations by substitution
den301095 [7]

Answer:

c.  (2, -18)

Step-by-step explanation:

y = -5x - 8

y = 3x - 24

3x - 24 = -5x - 8

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y = 3(2) - 24

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Answer: c.  (2, -18)

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2 years ago
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