All categories

3 years ago

Need these 2 answered. 25 points! Please show work, Thanks! :)

Mathematics

2 answers:

adoni [48]3 years ago

5 0

Answer:

2(x+3)(x+5)
-4(x+2)(x-4)

Step-by-step explanation:

$2x^2+16x +30\\\\\mathrm{Factor\:out\:common\:term\:}2:\\\quad 2\left(x^2+8x+15\right)\\\\\mathrm{Factor}\:x^2+8x+15:\\\quad \left(x+3\right)\left(x+5\right)\\\\\\=2\left(x+3\right)\left(x+5\right)$

$-4x^2+8x+32\\\\\mathrm{Factor\:out\:common\:term\:}-4:\\\quad -4\left(x^2-2x-8\right)\\\\\mathrm{Factor}\:x^2-2x-8:\\\quad \left(x+2\right)\left(x-4\right)\\\\=-4\left(x+2\right)\left(x-4\right)$

sasho [114]3 years ago

3 0

Hello!

1. -4x2 + 8x + 32
-4(x2 - 2x - 8)
-4(x2 + 2x - 4x - 8)
-4(x(x + 2) - 4(x + 2))
-4(x + 2)(x - 4)
Answer A.

2. 2x2 + 16x + 30
2(x2 + 8x + 15)
2(x2 + 5x + 3x + 15)
2(x(x + 5) + 3(x + 5))
2(x + 5)(x + 3)
Answer C.

You might be interested in

The capacity of a beamer is 0.1 liter. convert this to milliliters

Vladimir [108]

A milliliter is a thousandth of a liter. 1,000 milliliters (mL) are in a liter. So, multiply 0.1 by a thousand to find the answer. The answer is 100.

3 0

4 years ago

Nelson will start the fire with 6 logs and then plans to add 3 logs for each hour the fire burns. Represent the number of logs h

Phoenix [80]

6+3x. He will start with 6 then add 3 logs each hour. X= the number of hours the fire has been burning. For example the fire has been burning for 2 hours. 6+3(2)=12

8 0

3 years ago

The following function is probability mass function. -2 -1 0 1 2 1/8 2/8 2/8 2/8 1/8 Determine the mean, , and variance, , of th

Digiron [165]

Answer:

The mean of the random variable is 0.

The variance of the random variable is $\frac{3}{2}$

Step-by-step explanation:

We are given the following probability distribution:

$P(X = -2) = \frac{1}{8}$

$P(X = -1) = \frac{2}{8}$

$P(X = 0) = \frac{2}{8}$

$P(X = 1) = \frac{2}{8}$

$P(X = 2) = \frac{1}{8}$

Mean:

Sum of each value multiplied by its probabilities. So

$E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0$

The mean of the random variable is 0.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probabilities. So

$V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}$

The variance of the random variable is $\frac{3}{2}$

5 0

3 years ago

If A ( 3, 5) and B (1, 4) lie on the graph of the line mx+cy = 7, find m and c

Diano4ka-milaya [45]

Answer:

m = -1, c = 2

Step-by-step explanation:

if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:

A: $3m+5c=7$

B: $m+4c=7$

From the second equation:

$m=7-4c$

Substitute it into the first equation:

$3(7-4c)+5c=7\\ \\21-12c+5c=7\\ \\-12c+5c=7-21\\ \\-7c=-14\\ \\c=2\\ \\m=7-4\cdot 2=7-8=-1$

3 0

3 years ago

if jacob used 1/7 of a liter of water to fill 1/9 of a fish aquarium how many liters are needed to fill the aquarium

Paladinen [302]

1/9 of the aquarium was filled with 1/7 liter

1 whole fraction of the aquarium will be filled = 1/7 ÷ 1/9

= 1/7 * 9/1 = 9/7

9/7 liters or 1 2/7 liters will be needed.

6 0

4 years ago