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3 years ago

Find the coordinates of the vertex of the graph of the quadratic equation below. Identify the vertex as a minimum or a maximum.

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer: Vertex= (0,-8) [Maximum]

Step-by-step explanation:

The Vertex is the lowest or highest point On the graph. In this case it is -8 is the highest point.

it is maximum Because the graph is pointing downward. If it was pointing upward it would have a minimum.

You might be interested in

Which equation would you use to find how high the bird is flying?

damaskus [11]

Answer:

The first one

Step-by-step explanation:

An easy way is SOH CAH TOA

SOH is that you use sine if you there is the opposite (in this case the question mark) and hypotenuse (the diagonal line)

CAH is that you use cosine for the adjacent side (1100) and the hypotenuse.

TOA is using tangent for the opposite and adjacent side.

To fine the question mark, you would use tangent. And plug in the given (1100 for the adjacent). So tan45 = x/1100.

If you need more help or clarification, let me know!

6 0

4 years ago

A farmer harvests 15 cucumbers for every 45 carrots. Which of the following ratios represents the ratio of cucumbers to carrots,

Sever21 [200]

15 cucumbers to 45 carrots...

so the ratio of cucumbers to carrots is : 15/45 which reduces to 1/3 <==

5 0

4 years ago

Read 2 more answers

-8x + 10y + 16x - 2y<br> Simplify and show work

HACTEHA [7]

Answer:

8x+8y

Step-by-step explanation:

7 0

3 years ago

1 is 25% of what number?

Travka [436]

Answer:

Step-by-step explanation:

25% is the same as 1/4.

1 is 1/4 of what number?

Answer: 4

You can also answer it with an equation.

Let x = the number you are looking for.

1 is 25% of x can be written as the following equation.

25% of x = 1

0.25x = 1

Multiply both sides by 4.

x = 4

Answer: 4

8 0

3 years ago

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0

3 years ago