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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
You might be interested in
The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0
2 years ago
A ferris wheel can accommodate 40 in 30 minutes. how many people could ride the ferris wheel in 3 hours? what is the total rate
oksano4ka [1.4K]
In an hour, 80 people could ride the ferris wheel. So, that means in 3 hours 240 people could ride it. 
6 0
2 years ago
What is 8,473,227 rounded to the nearest 100,000
monitta
8,500,000

Round the number 4 to 5 because the number 7 is behind it.
7 0
2 years ago
Which of the expressions below can be factored using the difference of<br> squares method?
zlopas [31]

Answer:

<em>The second choice is correct. It can be factored as:</em>

9x^2-16y^2=(3x-4y)(3x+4y)

Step-by-step explanation:

<u>The Difference of Squares Method for Factoring</u>

The expression:

a^2-b^2=(a-b)(a+b)

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

9x^2-16y^2=(3x-4y)(3x+4y)

4 0
2 years ago
Please help me with this one
Fantom [35]
The answer is f because it equals 1/3 and f is 1/3
5 0
2 years ago
Read 2 more answers
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