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Alenkasestr [34]
4 years ago
10

Complete the square to rewrite y = x2 + 4x + 5 in vertex form. Then state whether the vertex is a maximum or a minimum and give

its coordinates.

Mathematics
1 answer:
Shtirlitz [24]4 years ago
7 0

Answer:

C:) Is the answer

Step-by-step explanation:

Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

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Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13
stellarik [79]

Answer:

x>4

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x+9−9>13−9

x>4

3 0
3 years ago
Place each number on the number line. Use the number line to round the numbers to the nearest 1,000
artcher [175]
Where is the number line
5 0
3 years ago
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 9 inches, and t
MatroZZZ [7]
To solve this problem, you must follow the proccedure below:

 1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:

 V1=s</span>³
<span>
 s is the side of the cube (s=9)

 2. Therefore, you have:

 V1=s</span>³
 V1=(9 inches)³
 V1=729 inches³
<span>
 3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:

 V2=LxWxH

 L is the length (L=3 inches).
 W is the width (W=3 inches).
 H is the heigth (H=9 inches).

 4. Therefore, you have:

 V2=(3 inches)(3 inches)(9 inches)
 V2=81 inches
</span><span>
 5. The amount of wood that was left after the hole was cut out, is:
</span>
 Vt=V1-V2
 Vt=648 inches³
7 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
3 years ago
PLEASE HELP
antiseptic1488 [7]

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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