Answer:
The rational function that might have the given graph is .
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at and . The lead coefficient of the numerator must be 1, since horizontal asymptote must be and intercept must be , since .
Then, we conclude that a rational function that might have the graph is:
(1)
We present the proof that given function is appropriate.
The equation would look like: p - 5.16 = 15.48
because the coupon subtracts 5.16 from p and the price you pay is 15.48
Solve the equation by adding 5.16 to both sides
p = 20.64
The original price of the shirt is $20.64
Answer:
Step-by-step explanation:
Given
<em /><em> (each)</em>
Required
Determine the cost of all vanilla cupcakes
First, we need to determine the number of vanilla cakes.
This is calculated by multiplying the fraction of Vanilla by number of cupcakes
So:
<em>Since 1 cupcake costs $0.35.</em>
<em>16 would cost 16 * $0.35</em>
<em>So:</em>
Vanillas: ;;;;;
Answer:
c) 75, 2
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sampling distribution of the sample mean, with a large sample size, can be approximated to a normal distribution with mean and standard deviation .
In this problem, we have that:
Records show that the weights of boxes that it carries have a mean of 75 lb and a standard deviation of 16 lb. This means that .
For sample size of 64, find the mean and standard deviation of x bar
We have that .
So the correct answer is:
c) 75, 2
Answer:
A, C and D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y - intercept )
here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - 3x + 1 ← in slope- intercept form → C
Add 3x to both sides
3x + y = 1 ← in standard form → A
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The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 3 and (a, b) = (- 1, 4), thus
y - 4 = - 3(x + 1) ← in point- slope form → D