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2 years ago

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Part of the graph of the function f(x) = (x + 4)(x - 6) is shown below. which statement about the function are true? Select two

options. - The vertex of the function is at (1,-25) - The Vertex of the function as at (1,-24) - The graph is increasing only on the interval-4< x < 6. - The graph is positive only on one interval, where x < -4. - the Graph is negative on the entire interval -4 < x < 6.

2 answers:

nekit [7.7K]2 years ago

9 0

Answer:

Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.

Step-by-step explanation:

1. the vertex of the function:

f(x)= (x + 4)(x - 6) = x^2 - 2x - 24

x₀= 2/2= 1 y₀= 1^2 - 2*1 - 24= -25

(1; -25)

2. the Graph is negative on the entire interval -4 < x < 6

gregori [183]2 years ago

8 0

Answer:

The vertex of the function is at (1,–25).

The graph is increasing only on the interval −4< x < 6.

Step-by-step explanation:

A and C on edg

You might be interested in

Jesus wants to start saving for college. His parents started an account for him that currently holds $325. Jesus adds $50 each m

erma4kov [3.2K]

Answer:

y-intercept, c = 325

Slope, m = 50

The x-axis represents the number of months and y-axis represents the total amount in saving accounts.

Step-by-step explanation:

We are given the following in the question:

A saving account currently holds $325. Jesus adds $50 each month.

Let x be the number of months and y be the total money n the saving account.

Then, we can use a linear function to represent the money in the account.

$y(x) = 325 + 50x$

Comparing to general linear function,

$y = mx + c$

where m is the slope and tells the rate of change and c is the y-intercept that is the value when x is zero.

Comparing we get:

m = 50

c = 325

y-intercept = c = 325

Slope, m = 50

The x-axis represents the number of months and y-axis represents the total amount in saving accounts.

The attached image shows a graph for the same.

7 0

2 years ago

AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $

denis-greek [22]

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let $x$ be the number of additional line.

Cost of one additional line = $15

Cost of $x$ additional line = $\$15x$

Total cost = Fixed cost + Addition cost

= $125+15x$

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

$125+15x\leq 200$

Therefore, the correct option is C.

8 0

2 years ago

The lifespan (in days) of the common housefly is best modeled using a normal curve having mean 22 days and standard deviation 5.

Natasha_Volkova [10]

Answer:

Yes, it would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If $Z \leq -2$ or $Z \geq 2$ , the outcome X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 22, \sigma = 5, n = 25, s = \frac{5}{\sqrt{25}} = 1$

Would it be unusual for this sample mean to be less than 19 days?

We have to find Z when X = 19. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{19 - 22}{1}$

$Z = -3$

$Z = -3 \leq -2$ , so yes, the sample mean being less than 19 days would be considered an unusual outcome.

7 0

1 year ago

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

Alchen [17]

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = $2(\pi )r$ or $(\pi)d$

Re-arranging the formula:

⇒ $(\pi)d = Circumference\ (C)$

⇒ $(\pi )d =C$

⇒ $\frac{\pi\times d}{d}=\frac{C}{d}$

⇒ $\pi =\frac{C}{d}$

Plugging the numeric values:

⇒ $\pi =\frac{43.96}{14}$

So the expression for π is 43.96/ 14,and option C is the correct choice.

4 0

2 years ago

Mya is doing a 45-minute cardio workout. She has completed 4 5 of the workout. In how many minutes will her workout be done?

Alika [10]

Answer:

9 minutes

Step-by-step explanation:

45/5 equals 9

6 0

2 years ago