All categories

3 years ago

I need to factor 4n^2+4n-3. How??

1 answer:

5 0

Simple.....

you have: $4n^{2} +4n-3$

What multiplies to -12 and adds to 4?

6*-2=-12

6+-2=4

If you plug it into the box method you should get...--->>>

(2n-1)(2n+3)

Thus, your answer.

You might be interested in

A weed control company claims that each application of its product eliminates 1/2 of weeds. The number of weeds is modeled by f(

sp2606 [1]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1

marishachu [46]

<h3><u>Answer:</u></h3>

d = 2

<h3><u>Solution:</u></h3>

We are given that the arithmetic progression is defined by :

➝ 2n + 1

<em>Therefore, </em>

<u>For </u><u>first </u><u>term</u>

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

<u>For </u><u>second </u><u>term</u>

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

<u>Common </u><u>difference</u>

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

<h3><u>More </u><u>information</u><u>:</u></h3>

The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

5 0

2 years ago

In the number 7,890,432, name the digit located in each of these positions.

alina1380 [7]

A=4 B=7 C=9 D=3 E=8 F=0

3 0

3 years ago

Read 2 more answers

The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be

densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0

3 years ago

In the diagram, point O is the center of the circle and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC?

Sladkaya [172]

Answer:

m∠BDC = 43°

Step-by-step explanation:

According to the theorem every peripheral angle in the circle is equal to half value of central angle.

Angle m∠ADB is corresponding peripheral angle of central angle m∠AOB.

According to this m∠AOB = 2· m∠ADB = 2· 43 = 86°

If angle m∠BOC=m∠AOB= 86°

Angle m∠BDC is corresponding peripheral angle of central angle m∠BOC

According to this m∠BDC = m∠BOC/2 = 43°

Good luck!!!

7 0

2 years ago

Read 2 more answers