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2 years ago

Which of the sequences is an arithmetic sequence?

Mathematics

1 answer:

Bogdan [553]2 years ago

5 0

<h3>Answer: Choice A</h3>

This is because we're adding -6 to each term, i.e. subtracting 6 from each term, to get the next term

-2+(-6) = -8
-8+(-6) = -14
-14+(-6) = -20
-20+(-6) = -26

and so on. The gap between adjacent terms is the same width. We say that the common difference is d = -6.

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Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

6 0

3 years ago

Read 2 more answers

What divided by what equals 18

deff fn [24]

18/1 36/2 72/4 ...and many more....

8 0

2 years ago

Read 2 more answers

Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = -9.5x - 13

Anit [1.1K]

Answer:

x=2

Step by step:
f(x)=g(x)

3x+12= -9.5x-13 simplifies to the equation below

3x+9.5x= -13-12

12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.

12.5x/12 = -25/12

x=-2

to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅

7 0

2 years ago

Read 2 more answers

Anyone know how to do this? Please help

denpristay [2]

Answer:

93.6 inch^2

Step-by-step explanation:

sides=6 side-length=6 inches Apothem= 5.2 inches Area= 6*(1/2)(6)(5.2)

3 0

3 years ago

Simplify (8m2+m+7m2)-(3m-4m3+2m2)