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noname [10]
3 years ago
6

Factor 3xy+21x+9 completely

Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

<h2>Hence the second option is the correct answer</h2>

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

given the following expression

3xy+21x+9

From the expression above we can see that 3 is common to all the terms of the expression so that we have

3(xy+7x+3)

hence the second option is the correct answer

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B3x%7D%7B15%7D%3D%5Cfrac%7B2x%7D%7B3%7D%20%7D%20" id="TexF
Bezzdna [24]
Multiply all terms by 15
3x+3x= 10x+30

Combine like terms
6x=10x+30

Subtract 10x from both sides
-4x=30

Divide both sides by -4
x= -7.5

Final answer: -7.5
4 0
3 years ago
X2 can be combined with X?
natulia [17]

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An electrician charges $40 to come to your house.She also charges $55for each that she works. The electrician charges you total
shusha [124]

Answer:

Step-by-step explanation:

First, write an equation. 55x+40=190.

X represents the hours the electrician works. The 55 represents the $55 that she charges for each hour she works. The +40 for the $40 that was the price just to come to your house. The 190 is the total cost. Now, solve that equation.

55x+40=190

55x=150

x=2.72727272...

So the answer is 2.727 hours. It can be rounded as needed or turned into a decimal, 2 8/11.

5 0
3 years ago
A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge
aliina [53]

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = \frac{10}{2}=5 inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

8 0
3 years ago
A code consists of two digit numbers chosen from 00-99 (i.E 00, 01, 02…..99) followed by two different letters of the alphabet.
Ede4ka [16]

Answer: 1/67600

Step-by-step explanation:

probability that the code is 43MZ:

Probability = (Total Required outcome / total possible outcomes)

Possible outcomes (digit) = (00,.............. ..., 99)

2.) possible outcomes (alphabet) = (A, B,............... .., Z)

P(43MZ) = P(43) × P(M) × P(Z)

P(43) = 1/100

P(M) = 1/26

P(Z) = 1/26

THEREFORE ;

P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600

4 0
3 years ago
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