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3 years ago

Which of the following is the maximum value of the equation y=-x^2+2x+5

Mathematics

2 answers:

Citrus2011 [14]3 years ago

8 0

Answer:

The answer is b. Maximum=largest

Step-by-step explanation:

Damm [24]3 years ago

4 0

Answer: b. 6

<u>Step-by-step explanation:</u>

The maximum value is the y-value of the vertex.

Step 1: Find the x-value (aka Axis Of Symmetry) using the formula: $x=\dfrac{-b}{2a}$

$x=\dfrac{-(2)}{2(-1)}=\dfrac{-2}{-2}=1$

Step 2: input the x-value (above) into the given equation to solve for y:

$y=-x^2+2x+5\\y=-(1)^2+2(1)+5\\y=-1 + 2 + 5\\y = 6$

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with the exception of the first house, all the houses on sequence lane have an address whose numerical portions are greater than

yanalaym [24]

Answer:

The address of Ainsley is 24 and that of Lane is 25.

Step-by-step explanation:

All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.

Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.

Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.

Therefore, x + (x + 1) = 49

⇒ 2x = 48

⇒ x = 24

So, the address of Ainsley is 24 and that of Lane is 25. (Answer)

4 0

3 years ago

I need Urgent Help!! Can you please show me how you solve this step by step? 4-7x>-5(4+x)

White raven [17]

Answer:

The answer of this inequality is: x < 12

Step-by-step explanation:

1) First, place out what is given:

$4 - 7x>-5(4+x)$

2) Distribute -5 to (4 + x)

$4 - 7x > -20-5x$

3) We want to get x by itself, so we need to move each term to their own side(s):

4 - 7x > - 20 - 5x

+20 + 7x > +20 +7x

---------------------------

24 > 2x

5) Divide both sides by 2

$\frac{24}{2} > \frac{2x}{2}$

6) Now that you have x alone, your answer is:

$x < 12$

(I changed the position of x which is why the sign turned around)

5 0

3 years ago

You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.

Rufina [12.5K]

A.) x=sqrt30^2-25^2 b.) 16.58

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4 years ago

How many groups of Two-thirds are in Three-fifths?

Vanyuwa [196]

Answer:

its D

Step-by-step explanation:

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3 years ago

Read 2 more answers

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

dusya [7]

Answer:

a) There is an 81.87% probability that the instrument does not fail in an 8-hour shift.

b) There is a 45.12% probability of at least one failure in a 24-hour day.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

a. What is the probability that the instrument does not fail in an 8-hour shift?

The mean for an hour is 0.025 failures.

For 8 hours, we have $\mu = 8*0.025 = 0.2$

This probability is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.2}*(0.2)^{0}}{(0)!} = 0.8187$

There is an 81.87% probability that the instrument does not fail in an 8-hour shift.

b. What is the probability of at least one failure in a 24-hour day?

The mean for an hour is 0.025 failures.

For 24 hours, we have $\mu = 24*0.025 = 0.6$

Either we have at least one failure, or we have no failures. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*(0.2)^{0}}{(0)!} = 0.5488$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5488 = 0.4512$

There is a 45.12% probability of at least one failure in a 24-hour day.

6 0

3 years ago