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3 years ago

Find the 15th term of the arithmetic sequence if a1 = -3 and d = 2

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

a1 = - 3 Given

d = 2 Given

n = 15 Given

Formula

tn = a1 + (n - 1) * d

Substitute and solve

t15 = -3 + (15 - 1) * 2 Calculate what's in the brackets.

t15 = -3 + 14*2 Combne

t15 = -3 + 28 Add the two terms

t15 = 25

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Perform each indicated operation

MissTica

Answer: $\frac{x+6}{x-4}$

Step-by-step explanation:

First you need know some general formuals of factorization such as

$x^3+y^3=(x+y)(x^2-xy+y^2)$ so you have $x^3+64=X^3+4^3=(x+4)(x^2-4x+4^2)$

And, $x^2-y^2=(x-y)(x+y)$ so you have $2x^2-32=2(x^2-16)=2(x^2-4^2)=2(x+4)(x-4)$

If you use them, then you can modify your equations such as

$\frac{x^3+64}{2x^2-32}$ ÷ $\frac{x^2-4x+16}{2x+12}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)}$ ÷ $\frac{x^2-4x+16}{2(x+6)}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} . \frac{2(x+6)}{{x^2-4x+16}} = \frac{1}{x-4}.\frac{x+6}{1}=\frac{x+6}{x-4}$

4 0

3 years ago

A bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 4 hours?

Savatey [412]

19200 all you have to do to figure this out is multiply 100 times 8 since the is 8 halfs in 4 hours.
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4 years ago

Mai had 5 candy bars. She ate half of one candy bar and decided to distribute the remaining bars between her two sisters and her

brilliants [131]

1 and 2/3 is the answer

7 0

3 years ago

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What is the product of 5 and four more than a number is nine times the number. What's the number?

Korvikt [17]

Answer:

The number is 5.

Step-by-step explanation:

The product of 5 and 4 more than a number = 9 times the number

Let the number be x;

5(4 + x) = 9x

20 + 5x = 9x

4x = 20

x = 20/5

x = 5.

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3 years ago

X^2+9x+20=0<br><br> What are the steps to solve by factoring?

Dimas [21]

First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle

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4 years ago

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