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4 years ago

9

Which of the following is an arithmetic sequence?

1 answer:

madreJ [45]4 years ago

8 0

Answer:

A

Step-by-step explanation:

A is an arithmetic sequence with first term -2 and common difference 5. Each new term is found by adding 5 to the previous term.

B is a geometric sequence with first term 1 and common ratio 1/2.

C is neither an arithmetic nor a geometric sequence.

D is neither. We might call it an "alternating sequence."

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If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Leno4ka [110]

Answer:

$A = 6$ .

Step-by-step explanation:

Let $a$ denote a constant (a number, rather than a variable like $x$ .)

Let $f(x)$ denote an expression about $x$ (for example,

By the factor theorem, if $(x - a)$ is a factor of $f(x)$ , then $f(a) = 0$ . In other words, if all mentions of $x$ in the expression $f(x)\!$ are replaced with $a$ , then the expression should evaluate to zero.

$(x + 3)$ is equivalent to $(x - (-3))$ . That is: $a = -3$ .

Replace all mentions of $x$ in $x^3 - x^2 - 10\, x + A$ by $(-3)$ to get:

$(-3)^3 - (-3)^2 - 10\times (-3) + A$ .

That should evaluate to zero. Therefore: $-27 - 9 + 30 + A = 0$ . Solve for $A$ to get $A = 6$ .

7 0

3 years ago

Select the correct answer

White raven [17]

Answer:

c

Step-by-step explanation:

5 0

3 years ago

robin spent $17 at an amusement park for admission and rides. if she paid $5 for admission, and rides cost $3, what is the total

ddd [48]

Robin went on 4 rides

7 0

2 years ago

There are 1,000 grams in 1 kilogram. Nate is mailing a package that has a mass of 8,000 grams.

Anna007 [38]

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

5 0

3 years ago

I don’t know how to simplify this equation

yanalaym [24]

Answer:

$7^5$

Step-by-step explanation:

According to the Product Rule for Exponents, $\frac{a^m}{a^n} = a^{m-n}$

a = 7

m = 9

n = 4

So,

$\frac{7^9}{7^4} = 7^{9-4} = 7^5$

So, the answer is $7^5$ .

Hope this helps!!!

Please mark me as brainliest!!!

7 0

2 years ago

Read 2 more answers