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3 years ago

7

Which statement describes ?

1 answer:

Deffense [45]3 years ago

8 0

Answer: B

The series converges because it has a sum of 4.

Step-by-step explanation:

You might be interested in

What is 103,727,495 in word from

natima [27]

One hundred and three million, seven hundred and twenty seven thousand, four hundred and ninety five.

4 0

3 years ago

Read 2 more answers

Which of the following is NOT a linear factor of the polynomial function?

Natalija [7]

Answer:

Among the four choices, $(x + 5)$ is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let $a$ denote some constant. A linear factor of the form $(x - a)$ is a factor of a polynomial $f(x)$ if and only if $f(a) = 0$ (that is: replacing all $x$ in the polynomial $f(x) \!$ with the constant $a\!$ would give this polynomial a value of $0$ .)

For example, in the second linear factor $(x - 2)$ , the value of the constant is $a = 2$ . Verify that the value of $f(2)$ is indeed $0$ . (In other words, replacing all $x$ in the polynomial $f(x) \!$ with the constant $2$ should give this polynomial a value of $0\!$ .)

$\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}$ .

Hence, $(x - 2)$ is indeed a linear factor of polynomial $f(x)$ .

Similarly, it could be verified that $(x - 5)$ and $(x + 2)$ are also linear factors of this polynomial function.

Rewrite the first linear factor $(x + 5)$ in the form $(x - a)$ for some constant $a$ : $(x + 5) = (x - (-5))$ , where $a = -5$ .

Calculate the value of $f(5)$ .

$\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}$ .

$f(5) \ne 0$ implies that $(x - (-5))$ (which is equivalent to $(x + 5)$ ) isn't a linear factor of this polynomial function.

3 0

2 years ago

Olivia delivers packages. She earns $300 per week plus $6 for each package she delivers. The expression 300 + 6p gives the amoun

Alja [10]

Answer:

$630

Step-by-step explanation:

you multiply 6 by the 55 packages which is 330 and add the 300 equaling to 630 as your total

7 0

3 years ago

Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace sai

Mariulka [41]

Answer:

Grace is right

Step-by-step explanation:

91 x 0.30 = 27.3

91 plus 27.3 equals to 118.3

6 0

3 years ago

Read 2 more answers

cricket20 [7]

Answer:

70% = $\frac{70}{100} = \frac{7}{10} = 0.7$

20% = $\frac{20}{100} = \frac{1}{5} = 0.2$

Step-by-step explanation:

We know that x% is represented by the fraction $\frac{x}{100}$ .

Now, in the first part, we are given two percentages 75% and 70%.

Now, 75% = $\frac{75}{100} = 0.75$

and 70% = $\frac{70}{100} = \frac{7}{10} = 0.7$

Therefore, the second option is correct.

Again, in the second part, we are given two percentages 20% and 25%.

Now, 20% = $\frac{20}{100} = \frac{1}{5} = 0.2$

and 25% = $\frac{25}{100} = \frac{1}{14} = 0.25$

Therefore, the third option is correct. (Answer)

4 0

3 years ago