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crimeas [40]
4 years ago
9

How do you find the y coordinate of the vertex in a quadratic function?

Mathematics
1 answer:
Leya [2.2K]4 years ago
5 0

To find the vertex of a quadratic equation, determine the coefficients of the equation, then use the vertex x-coordinate formula to find the value of x at the vertex. Once the x-coordinate is found, plug it into the original equation to find the y-coordinate.

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Question is in attached file
Nonamiya [84]

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

5 0
2 years ago
Hudson was comparing the price of orange juice at two stores. The equation y=0.57xy=0.57x represents what Hudson would pay in do
trasher [3.6K]

Answer: x is the amount of orange juice they can buy. And y is the amount of money they have. Set y equal to 13.26 and solve the equation.

-lukelaws

I hope I helped

Please give me brainliest:)

3 0
2 years ago
Which term is defined as a loan given to students to help pay for education-related expenses?
victus00 [196]

Answer:

Student Loan.

It is a discount given to students for educational purposes.

7 0
3 years ago
In a survey, 27 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
umka21 [38]

Answer:

The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.

Step-by-step explanation:

The results were roughly normal, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{12}{\sqrt{27}} = 4.53

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.

The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.

The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.

5 0
4 years ago
HELP ASAP!!!!!!<br><br> this is due tomorrow loll
Ne4ueva [31]

Answer:

please write it not click pic

3 0
3 years ago
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