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3 years ago

How to write 21/6 as a mixed number

1 answer:

5 0

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

3 and 3 over 6

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4|n+8| = 56 <br><br>please help

Alchen [17]

To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.

Step 1) Divide by 4
|n+8| = 14

*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.

Step 2) Make two equations

n+8 = 14
n+8 = -14

Solve and you'll see that n= 6 and -22

3 0

3 years ago

SPECIAL PRODUCTS- PERFECT SQUARE TRINOMIALS <br> 1. (2x - y)(4x2 + 2xy + y2) <br> Anyone know??

Ad libitum [116K]

(2x - y)(4x2 + 2xy + y2) =

8x3 + 4x2y + 2xy2 - 4xy2 - 2xy2 - y3 (combine and simplify like terms)

= 8x3 - y3

8 0

3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

$a_n=a_1+(n-1)d$

For the 15th, term it will be

$a_{15}=-3+(15-1)d\\53=-3+14d$

Adding 3 on both sides

$53+3 = -3+3 + 14d\\56 = 14d$

Dividing both sides by 14

$\frac{56}{14}=\frac{14d}{14}\\d=4$

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

1.4hrs to run 10.85 average speed in mph

Colt1911 [192]

10.85 miles / 1.4 hrs = 7.74 miles per hour

6 0

3 years ago

If f(x) = 3x2 and g(x) = x+2, find (f•g)(x).

Alecsey [184]

Since you have provided me with • symbol I must assume it's about function multiplication, but since standard keyboard doesn't have the function composition symbol $\circ$ I must assume you meant either.

1. Case you meant multiplication.

$(f\cdot g)(x)=3x^2\cdot(x+2)=\boxed{3x^3+6x^2}$

2. Case you meant composition.

$(f\circ g)(x)=f(g(x))=f(x+2)=3(x+2)^2=\boxed{3x^2+12x+12}$

Hope this helps. Next time please use LaTeX to format your equations so that others can give you answers as well.

5 0

3 years ago