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Nitella [24]
4 years ago
9

Evaluate 4g - 12 when g =5

Mathematics
1 answer:
solniwko [45]4 years ago
5 0
4g-12 g=5. 4(5)-12=8. 4 times 5 equals 20 and 20-12 equals 8. So your answer is 8
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I don't understand???? I'll give the brainliest!!!!!
olasank [31]

Answer:

<h2>37</h2>

Option A is the correct option.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  - 2ab \:  \cos \: c \:  =  {c}^{2}  \\ a = 4 \\ b = 5 \\ c = 2 \\  \\ 2ab \: cos \: c =  {a}^{2}  +  {b}^{2}  -  {c}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  =  {(4)}^{2}  +  {(5)}^{2}  -  {(2)}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  = 16 + 25 - 4 \\  \:  \:  \:  \:  \:  \:  = 41 - 4 \\  \:  \:  \:  \:  \:  \:   = 37

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
Bucket with 20 chips. The chips in the bucket
vesna_86 [32]

Answer:

8 blue chips and 12 red

Step-by-step explanation:

8 0
3 years ago
What is an equation of a line that passes through the point (3,-1) and has a slope of 2
kogti [31]

Answer:

y=2x-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=2(x-3)

y+1=2x-6

y=2x-6-1

y=2x-7

8 0
3 years ago
6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
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