Find the percent of change and describe it as an increase or decrease. If necessary, round to the nearest tenth.

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

7 0

1 year ago

What is 8h+7m <br> need help please!!!!

Helen [10]

Answer: 14 hm

Step-by-step explanation:

Just add numbers together then put letters in order they show in equation

5 0

3 years ago

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Help me please? :))))

hram777 [196]

Answer:

(C)

Step-by-step explanation:

The least common denominator between a denominator of 10 and 4 is 20, so to make the denominators of both fractions equal to 20 you have to multiply the first fraction by 2/2 and the second fraction by 5/5.

Hope this helps :)

4 0

2 years ago

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A car travels 18m in one second. How far will it travel in one hour at the same rate ?

Debora [2.8K]

Answer:

64800

Step-by-step explanation:

you will multiply 60 by 18m to get how much you go in a minute. and then you multiply that by 60 again to get how much you go in an hour.

6 0

3 years ago

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A −3=( a 1 ) 5 what is the value of a?

PtichkaEL [24]

Answer:

A= $\frac{-3}{4}$

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

<h3>Your final answer is a=-3/4</h3>

4 0

3 years ago