Ask question

Ask question

All categories

pishuonlain [190]

3 years ago

14

Factor and Solve. Show work.

1 answer:

Naddik [55]3 years ago

4 0

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

You might be interested in

Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)

bulgar [2K]

So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1

6 0

3 years ago

A certain number line uses 20 spaces between consecutive integers.

noname [10]

Answer:

Distance between two consecutive tick marks is 0.05 units.

Step-by-step explanation:

We are given the following information in the question:

It is given that there are 20 ticks between two consecutive number.

Let n and n+1 be the consecutive number.

Formula:

Distance between two ticks =

$\displaystyle\frac{\text{Difeerence between the numbers}}{\text{Number of ticks}}\\\\= \frac{(n+1)-n}{20} = \frac{1}{20} = 0.05$

Thus, distance between two consecutive tick marks is 0.05 units.

5 0

3 years ago

Which expression is equivalent to 2(-3x + 5)?

lawyer [7]

Answer:

−6x+10

Step-by-step explanation:

2×−3x+2×5

−6x+2×5

−6x+10

3 0

3 years ago

Read 2 more answers

g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d

professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

$P (X)=\frac{4}{20}=0.20$

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

$V(X)=np(1-p)$

Compute the variance of <em>X</em> as follows:

$V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48$

Compute the standard deviation (σ (X)) as follows:

$\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693$

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

$V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48$

Compute the standard deviation of (20 - X) as follows:

$\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693$

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0

3 years ago

Solve the following equation:

stealth61 [152]

Answer: Y=1/8

Slope m=0, b =1/8

Step-by-step explanation:

8 0

2 years ago