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3 years ago

The graph attaches shows the function f(x) and the table represents the function g(x)

Mathematics

1 answer:

Fed [463]3 years ago

5 0

Answer:

Statement D is true

Step-by-step explanation:

We should know the following:

x-intercept is the value of x when y = 0

y-intercept is the value of y when x = 0

As shown on the graph, we can deduce the following:

For f(x) : at y = 0 ⇒ x = 1 And at x = 0 ⇒ y = -1

So, for f(x) ⇒ x-intercept = 1 & y-intercept = -1 

For g(x) : at g(x) = 0 ⇒ x = -1 And at x = 0 ⇒ g(x) = 1

So, for g(x) ⇒ x-intercept = -1 & y-intercept = 1

Comparing the results with the given options:

A) the x-intercept of f(x) is equal to the x-intercept of g(x) (Wrong)

B) the y-intercept of f(x) is equal to the y-intercept of g(x) (Wrong)

C) the y-intercept of f(x) Is greater than the y-intercept of g(x) (Wrong)

D) the x-intercept of f(x) is greater than the x-intercept of g(x) (true)

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Enter your answer and show all the steps that you use to solve this problem.

slamgirl [31]

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

(3,17) and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

= (15-17)/(5-3)

= -2/2

= -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

3 0

3 years ago

Currently, in Littlefield, jobs arrive at 12 per day and you have (just) enough capacity at each station (i.e., the departure ra

OlgaM077 [116]

Answer:

The WIP limit is 0.50 days.

Step-by-step explanation:

The Computation of WIP limits:

to begin with, it is required to compute the process and procedure efficiency which will be computed as follows:

Value Added Time = 12 days (arriving time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

= 12 / (12+12)

= 12 / 24

= 0.50 or 50%

the most obligatory throughput time will be 0.25 days to realize the profits

WIP limit = Throughput time / Efficiency

= 0.25 / 50%

= 0.50 days.

The WIP limit is 0.50 days.

6 0

3 years ago

The polynomial p(x)=1−2x2−3x3+4x has what order? a. 4 b. 2 c. 3 d. 1

VLD [36.1K]

Answer:

Step-by-step explanation:

Given the polynomial : p(x)=1−2x2−3x3+4x

Rearranging : p(x) = -3x³ - 2x² + 4x + 1

Looking at the polynomial Given, we can see that it is a univariate polynomial, that is it has only one variable which is x. Thus for polynomials of this sort, the order of the polynomial is the highest exponent occurring in the polynomial equation. Therefore, the order of the polynomial above is 3, because the highest power of the function is 3.

This means that those with 4 as their highest exponent are of order 4 and those with highest exponent as 2 are of order 2.

3 0

2 years ago

Jace needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee of $200 plus an hou

andreev551 [17]

I hope this answers your question.

4 0

3 years ago

Suppose that in one region of the country the mean amount of credit card debt perhousehold in households having credit card debt

kvv77 [185]

Answer:

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

Step-by-step explanation:

To solve this question, we have 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.

Central limit theorem:

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

In this problem, we have that:

$\mu = 15250, \sigma = 7125, n = 1600, s = \frac{7125}{\sqrt{1600}} = 178.125$

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly

This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So

X = 1900

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

By the Central Limit Theorem

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

$Z = \frac{1900 - 1600}{178.125}$

$Z = 1.68$

$Z = 1.68$ has a pvalue of 0.9535.

X = 1300

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

$Z = \frac{1300 - 1600}{178.125}$

$Z = -1.68$

$Z = -1.68$ has a pvalue of 0.0465.

0.9535 - 0.0465 = 0.907.

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

7 0

3 years ago