Answer:
C
Step-by-step explanation:
You can use the formula y=mx+b
f(x) is the same as y
m=slope
b=y intercept
We know that the slope is -2 so which answer has -2 as b? (Which one has a -2 before the x?)
Y Intercept is where the line crosses though the y axis. The point of the y intercept will ALWAYS have 0 as x. So (0,4) is the y intercept. You could also say 4 is the y intercept. Which one has 4 as b? (Which one says +4 after -2x)
The only answer that matches is C.
I hope thay made sense.
Answer:2
Step-by-step explanation:
Answer:
B. vertical asymptote: x = 1
horizontal asymptote: y = 0
Step-by-step explanation:
1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator,
, equal to 0 and solve for x:
![x^3-1= 0\\x^3 = 1\\\sqrt[3]{x^3} = \sqrt[3]{1} \\x = 1](https://tex.z-dn.net/?f=x%5E3-1%3D%200%5C%5Cx%5E3%20%3D%201%5C%5C%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B1%7D%20%5C%5Cx%20%3D%201)
Thus, the vertical asymptote is x = 1.
2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.
Answer:
15.87% probability that the car travels more than 53 miles per gallon.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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.
In this problem, we have that:

Find the probability of the following events: A. The car travels more than 53 miles per gallon. Probability
This is the pvalue of Z when X = 53. So



has a pvalue of 0.8413
1 - 0.8413 = 0.1587
15.87% probability that the car travels more than 53 miles per gallon.