What is the factored form of 3c²+24c+48 ?

Answers

Answer 1

Answer: 1st step factor 3 out of each number in the equation to get:

3(c^2+8c+16)

16 can be rewritten as 4^2 to get:
3(c^2+8c+4^2)

4+4 = 8 ( the middle number)

so the factor would be 3(c+4)^2

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6
b. 9
c. 12
d. 15

Answers

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

Answer:

d is the correct answer

Step-by-step explanation:

i went to sleep randomly on my bed and i woke up with ducks quacking around me. how do i call the bug exterminator? how many steps do i take toward the phone and the distance?

Answers

You don't it's not a bug

Answer:Since You slept randomly, there can’t be a duck in your bedroom, no further explanations is needed.

Step-by-step explanation:

5-2 cos (3x + pie divide 2) + 2

Answers

This should be the answer. I haven't Cos, Sine, and Tangent involving x in a while.
5-2cos(3x+3.14/2)+2=7.299838055
7.3

Robin randomly selects a number between 1 and 20. What is the probability that the number selected is the square of a natural number?a.1/2
b.-3/20
c.-3/10
d.1/5
e.1/3

Answers

Answer: d. $(1)/(5)$

Step-by-step explanation:

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by :-

$P=\frac{\text{square numbers}}{\text{total numbers}}\n\n\Rightarrow\ P=(4)/(20)=(1)/(5)$

Hence, The probability that the number selected is the square of a natural number is $(1)/(5)$

D is I am pretty sure

35.4% expressed as a decimal becomes
A. 0.354.
B. 3.54.
C. 354.
D. 35.0

Answers

To convert a percentage into a decimal, you divide it by 100. So in this case, we do 35.4/100 = 0.354. Therefore A is the correct answer.

Arithmetic series help!!!!

Answers

The initial term of the sequence is 15. The common difference is 3, so the n-th term (an) is

... an = 15 + 3(n-1)

For n=14, the 14th term of the sequence is

... a14 = 15 + 3(14 -1) = 54

The sum of terms is the average of the first and last, multiplied by the number of terms:

... sum = (15 + 54)/2·14 = 7·69 = 483

The appropriate answer choice is

... 54; 483

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