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3 years ago

Which statement about the function is true?

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

d. The function is negative for all real values of x where x<-3 or x>-1.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photos.

My answer:

Given the Quadratic function as following:

f(x) = –(x + 3)(x – 1)

As we can see, the graph of the function is a downward parabola because the parameter a = -1 is negative.

It's root are -3 and 1.

Let analyse 4 answers:

a. The function is positive for all real values of x where X<-1.

Wrong, The function is positive where -3 < x < -1

b. The function is negative for all real values of x where x <-3 and where x> 1.

wrong, where where x> -1. the function is negative

c. The function is positive for all real values of x where x > 0.

Wrong. The function is negative for all real values of x where x > 0.

d. The function is negative for all real values of x where x<-3 or x>-1.

True, as it can be seen in the photo.

Hope it will find you well.

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Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t

noname [10]

Answer: 1 hour

Step-by-step explanation:

Let the distance they walked be $d_1$ in time $t_1$ and the distance they walked be $d_2$ in time $t_2$ ,then

Walking speed= $\frac{d_1}{t_1}=4$

$\\\Rightarrow\ d_1=4t_1$

Riding speed= $\frac{d_2}{t_2}=12$

$\\\Rightarrow\ d_2=12t_1$

Also the total time taken=3 hours

∴ $t_1+t_2=3\\\Rightarrow\ t_2=3-t_1$ ...(1)

Since the total distance= 20 km

∴ $d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1$

Thus, the they spent 1 hour time in walking.

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3 years ago

Al’s pet store had 14 small lizards and some large lizards. After selling 2 lizards, there were 30 in the store. How many large

Vlad1618 [11]

Answer:

Total no of lizard=lizard sold+ lizard remaining

30 +2

Total -small

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Step-by-step explanation:

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3 years ago

At time t=0, water begins to drip out of a pipe into an empty bucket. After 48 minutes, there are 12 inches of water in the bu

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Answer:

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Step-by-step explanation:

At t = 0, W = 0

At t = 56 minutes , W = 8 inches

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8 inches = k * 56 minutes

k = 8 / 56

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3 years ago

Which polynomials are in standard form?

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Look at the pic below for question :)

Lapatulllka [165]

Answer:

OPTION B

Step-by-step explanation:

Geometric series : $\displaystyle \sum_{n = 0}^{ \infty} ar^n$

where $a$ is the first term of the series and

$r$ is common difference.

A geometric series is convergent if |r| < 1.

It is divergent otherwise.

Since the first term of the series is a and the second term is ar, the ration of second term and first term, $\frac{ar}{r}$ = r.

OPTION A:

$\frac{1}{81} + \frac{1}{27} + \frac{1}{9} + \frac{1}{3} + \hdots$ .

Here, $a = \frac{1}{81}$ and $ar = \frac{1}{27}$

$\implies r= \frac{27}{81} = 3$

r > 1. So, this series is divergent.

OPTION B:

$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \hdots$

a = 1; ar = $\frac{1}{2}$ .

$\implies r = \frac{1}{2}$ .

Since, r < 1, we can say that the series is convergent.

OPTION C:

We can easily see that |r| =4. So, it is not convergent.

OPTION D:

Again |r| = 2. So, the series should be divergent.

7 0

3 years ago