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sergey [27]
3 years ago
7

Simplify the following expression completely using distribution and combining like terms

Mathematics
2 answers:
djverab [1.8K]3 years ago
6 0

Hey there!

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

= 12 + 6f + 5f - 2

= 12 - 2 + 6f + 5f

= <u>1</u><u>0</u><u> </u><u>+</u><u> </u><u>1</u><u>1</u><u>f</u><u>.</u>

Hope it helps ya!

Katena32 [7]3 years ago
3 0

Answer:

10 +11f

Step-by-step explanation:

3(4 + 2f) + 5f - 2​ =

12 + 6f + 5f - 2 =

10 +11f

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What are the first four terms of the sequence modeled by the recursive formula an=an-1+5 when a1=-3?
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Given sequence: a_n=a_{n-1}+5

a_1= -3..

We need to find first four terms of the sequence.

We already given first term -3.

Let us find second term a_2.

Plugging n=2.

a_2=a_{2-1}+5 = a_1+5= -3+5 = 2.

Now taking n=3.

a_3=a_{3-1}+5 = a_2+5= 2+5 = 7.

Now, n=4.

a_4=a_{4-1}+5 = a_3+5= 7+5 = 12.

We got terms -3, 2, 7 and 12.

<h3>Therefore, correct option is B) –3, 2, 7, 12.</h3>
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3 years ago
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Step-by-step explanation:

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Scores on a test are normally distributed with a mean of 70 and a standard deviation of 11.5. find p81, which separates the bott
choli [55]

Answer: The score p81 that separates the bottom 81% from the top 19% is 80.12

Step by step:

First, calculate the "z" value. Z is a normally distributed random variable with 0 mean and standard deviation 1. The score value corresponding to the desired percentile p81 can be determined from a z value as follows:

z=\frac{s-\mu}{\sigma}\\z_{p81}=\frac{p_{81}-70}{11.5}\\\implies p_{81}=z_{p81}\cdot 11.5+70

We use a z-table (check online) to find the z value for the 81-st percentile. I found z_{p81}=0.88 and so we use that value to calculate the score for the percentile:

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The score p81 that separates the bottom 81% from the top 19% is 80.12



4 0
4 years ago
How do I solve this?
valkas [14]
If area multiply if perimeter are add 
7 0
3 years ago
Find the distance between the two points.
Ne4ueva [31]

Answer:

Step-by-step explanation:

The distance between two points is

d^2=(y2-y1)^2+(x2-x1)^2

D) points (0,0) and (9,12)

d^2=(9-0)^2+(12-0)^2

d^2=81+144

d^2=225

d=15

E) points (1,2) and (-3,5)

d^2=(-3-1)^2+(5-2)^2

d^2=16+9

d^2=25

d=5

3 0
3 years ago
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