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3 years ago

Graph the equation y=-1(x-3)^2+4

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

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What is the solution to the inequality -4x < 8? x < -24 x > -24 x < -2 x > -2

liberstina [14]

Answer:

x > -2

Step-by-step explanation:

Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.

$-4x < 8\\\\\frac{-4x}{-4} < \frac{8}{-4}$

x > -2

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3 years ago

What is the 5th term of this geometric sequence? 100, 20, 4, 0.8, …

Alex777 [14]

First we have to find out the common number of them.
For that purpose, the first number should be divided by next number.
100/20 = 5
20/4 = 5
4/0.8 = 5

we have found that 5 is the common number.
0.8/5 = 0.16

therefore the answer is c

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3 years ago

A college admissions officer takes a simple random sample of 90 entering freshman and computes their mean mathematics sat score

Natalija [7]

Answer:

460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460

Step-by-step explanation:

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

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error 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.

$M = 2.575\frac{101}{\sqrt{90}} = 27.4$

The lower end of the interval is the sample mean subtracted by M. So it is 436 - 27.4 = 408.6.

The upper end of the interval is the sample mean added to M. So it is 436 + 27.4 = 463.4.

460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460

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2 years ago

Rule for the relationship between certain quantities.<br> Domain<br> Origin<br> Formula<br> Term

Yuliya22 [10]

The statement of the relationship is a formula.

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3 years ago

Select the correct answer from the drop-down menu. In a right triangle, ∠θ = 43° and the side opposite to ∠θ is 6.5 centimeters

anygoal [31]

Answer:

Approximately 7 cm

Step-by-step explanation:

Angle opposite to the required length:

180 - 90 - 43 = 47°

X/sin47 = 6.5/sin43

X = sin47 × 6.5/sin43

X = 6.970396615

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3 years ago