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DerKrebs [107]
3 years ago
10

How do you factor out 4v(squared) - 16v + 7?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
It is a square trinomial:
4v^2 - 16v + 7 = 0
lets multiply and divide all by 4, the square term coefficient:
(16v^2 - 16(4)v + 28)(1/4) = 0
(4v - 14)(4v - 2)<span>(1/4) = 0
</span>factor 1/4
(4v - 14)(4v - 2)(1/2)<span>(1/2)</span> = 0
and divide each:
(2v - 7)(2v - 1) = 0
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3 eggs and 2 cups of sugar to make 30 cookies. How many eggs and cups of sugar do you need to make 50 cookies.
sineoko [7]

Answer:

<u>5 eggs and 3.33 cups of sugar</u>

Step-by-step explanation:

3 eggs are required to make 30 cookies

1 cookie needs 3/30 eggs

so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>

2 cups of sugar is required to make 30 cookies

1 cookie needs 2/30 cups of sugar

so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>

5 0
3 years ago
Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. E
babymother [125]
1. You have the following information:
<span>
 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.
</span>
 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot-----0.75 quarts
       x-----8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots
<span>
 For how many pots does Maria have enough soil?
</span>
 The answer is: 11 pots
 
 
 
8 0
3 years ago
John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.
gayaneshka [121]

Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:

3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

21/44(x-88)=420

21/44x-42=420

21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

6 0
3 years ago
What is the area of a house with 3 rooms and each room is 4 by 9
Olegator [25]

Answer:

108 ?

Step-by-step explanation:

4*9 = 36

36 * 3 = 108

3 0
3 years ago
Read 2 more answers
what is the base area of a pyramid with a volume of 72m^3 and a height of 12m solve for the base area
yawa3891 [41]
The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.
4 0
3 years ago
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