the graph represents y as a function of x. which additional point can be plotted so that this graph continues to represent a function? please answer and explain why you chose the answer. i will mark you brainliest.

The greatest or maximum value for the given function = -8.25

The minimum or smallest value for the given function =-4

The maximum value of a function is the highest value of that function. To calculate the greatest function, the following equation is used,

Formula max = c - (b2 / 4a)

Where,

a = 2

b = 5

C = -7

Therefore maximum function

= -7 -(5*2/4*2)

= -7-(10/8)

= -7 - 1.25

= -8.25

The minimum value of a function is the least value of that function.

Formula for the minimum = c - b^2/4a.

= -7-5^2/4*2

= -32/8

= -4

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The given expression is undefined when x = 5 OR x = -5

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

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Answer:

Step-by-step explanation:

The two colors can be chosen in 3 different ways.

If we have a set of N elements, the number of different sets of K elements (such that the order of the K elements does not matter) is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case, we have 3 colors, so N=3, and we want to choose 2, then K=2.

Replacing that we get:

[tex]C(3, 2) = \frac{3!}{(3- 2)!*2!} = \frac{3*2*1}{1*2*1} = 3[/tex]

The two colors can be chosen in 3 different ways.

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The experiment is not a binomial experiment.

A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.

The conditions for a binomial experiment include:

1. Each trial should be classified either as a success or a failure.

2. There are a fixed number of observations

3. The trials are independent.

4. The number of trials are fixed.

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The information that can be collected to make an insurance policy will be information regarding the drivers.

It should be noted that the probability simply means the likelihood of the occurence of an event.

In this case, when choosing a car insurance policy, we can use the probability to determine the likelihood for the need to file a claim.

The course of action is to survey a number of drivers to get information from them.

Also, the benefit of this approach is that the food drivers can pay less premium while the disadvantage can be the cost that's involved.

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1. A situation that can use probability to make an informed decision is when deciding on an insurance policy to take.

2. The information that you would collect for an insurance policy decision includes insurance:

3. An understanding of probability helps the policyholder to:

Using probability, the insurance policyholder enjoys these benefits:

However, the limitations of probability in measuring insurance risks become prominent under the following situations:

Thus, probability analyzes insurance policies to determine the best plans and their deductible amounts.

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Answer:

{-5,-2,0,2,5,-1,1,8}

Step-by-step explanation:

The union of two sets contains all elements that are in set A or in set B (possibly both).

{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}

Answer:

it's answer came 20000o

66.90% of the total bankruptcy fillings are not chapter 13 fillings.

What is bankruptcy?

This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.

In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings

fillings that were not chapter 13=936,795-310,061

fillings that were not chapter 13=626,734

fillings that were not chapter 13 as % of total fillings=626,734/936,795

fillings that were not chapter 13 as % of total fillings=66.90%

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Using proportions, it is found that a force of 22 lb stretches the spring 18 inches.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The measures are direct proportional, hence the rule of three is:

11 lb - 9 inches

22 lb - n inches

Applying cross multiplication:

11n = 9 x 22

n = 9 x 2

n = 18 inches.

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Answer:

68

Step-by-step explanation:

Lets first find the quantity of tape the computing center is purchasing/month.

3/5 Of their 1600 dollar spending is on the heavy duty tapes, meaning they are spending 960 dollars/month on heavy duty tape, if we divide that by the original price, 40, it will give us the original quantity of heavy tape they are purchasing, 24/month.

The other 2/5 of their money, 640 dollars, are spent on regular tape, meaning they purchase 20 rolls of regular tape/month.

Given they are purchasing 24 rolls of heavy tape and 20 rolls of regular tape every month, we can simply multiple those by the new prices and sum the results.

24*38=912

20*31=620

912+620=1532

Then to find the money they are saving we subtract the new price from the original price.

1600-1532=68

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

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Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.

Step-by-step explanation:

The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.

The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.

For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.

Answer:

slope is -1

Step-by-step explanation:

Slope of the line is changes in y over changes in x. It can also be referred as rise over run.

We can express mathematically as:

[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where m is slope.

Let (-2,5) be [tex]\displaystyle{(x_2,y_2)}[/tex] and (6,-3) be [tex]\displaystyle{(x_1,y_1)}[/tex]. Hence, apply the slope formula:

[tex]\displaystyle{m=\dfrac{5-(-3)}{-2-6}}\\\\\displaystyle{m=\dfrac{5+3}{-8}}\\\\\displaystyle{m=\dfrac{8}{-8}}\\\\\displaystyle{m=-1}[/tex]

Therefore, the slope is -1

The second term of sequence is 200

Geometric sequence are sequence that differs in their term by a common ratio. The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

where

a is the first term

n is the number of term

If 1st and 4th term of G.P is 500 and 32 respectively, hence;

T1 = ar^0 = 500

T3 = ar^3 = 32

From both expressions, the first term a = 500

Substitute into equation 2

ar^3 = 32

500r^3 = 32

r^3 = 32/500

r = ∛32/500
r = 0.4

Determine the second term

T2 = 500(0.4)

T2 = 200

Hence the second term of sequence is 200

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Answer:

c

Step-by-step explanation:

because I had a test on these

Answer:

hundred million is the place value of 4 in 483800000

Using the normal distribution, the probability that x is of at most 40, represented by option B, is given as follows:

[tex]P(X \leq 40) = 0.1587[/tex]

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the distribution are given, respectively, by:

[tex]\mu = 51, \sigma = 11[/tex]

The probability that x is of at most 40 is the p-value of Z when X = 40, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 51}{11}[/tex]

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the probability is:

[tex]P(X \leq 40) = 0.1587[/tex]

Which is the part to the left of X = 40 of the distribution, hence option B is correct.

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Answer:

Step-by-step explanation:

x is the number of students

(x+5) is the number of students and chaperons

$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have

2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)

The inequality "90 greater-than 2.50 (x + 5) "

90 > 2.50(x+5) is an error becase it excludes the possibility that the trip can cost exact $90 so we need not just greater than > , yet greater and equal than ≥ sign

90 ≥ 2.50(x+5)

The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

The given expression is:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]

Note that:

[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]

Applying the addition principle to the given expression, we have:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

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The total number of servings Stephen can achieve with 1/10 kilograms of tofu at 2/25 kilograms per serving is 5/4 servings

Number of servings = Total tofu Stephen has ÷ Tofu per serving

= 1/10 ÷ 2/25

= 1/10 × 25/2

= (1×25) / (10 × 2)

= 25/20

= 5/4 servings

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Answer:

yes i help yes of course he help

Answer:

its -14

Step-by-step explanation:

The  difference in total loan repayments between the two mortgage payment option is 771.12

The requirement here is to determine the difference between total loan repayments when the period of loan is 36 months and the total repayments when the period of loan is 24 months instead.

Note the loan amount is the excess of  purchase price over the down payment required.

loan amount=12,500-3,000

loan amount=9,500

The monthly payment in each case can be determined using the present value formula of an ordinary annuity.

PV=monthly payment*(1-(1+r)^-N/r

36-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=36

9,500=X*(1-(1+0.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-0.6489543809903260)/0.0120833333333333

9,500=X*0.3510456190096740/0.0120833333333333

9,500=X*29.0520512283869000

X=9,500/29.0520512283869000

X=327.00

Total month repayments=327.00*36

Total month repayments=11,772.00

24-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=24

9,500=X*(1-(1+0.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-0.7495652524008220/0.0120833333333333

9,500=X*0.2504347475991780/0.0120833333333333

9,500=X*20.7256342840700000

X=9,500/20.7256342840700000

X=458.37

Total month repayments=458.37*24

Total month repayments=11,000.88

Difference in total payments=11,772.00-11,000.88

Difference in total payments=771.12

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Answer:

just 771.21

Step-by-step explanation:

to make it shorter credits to the og person who said the awnser 771.21

-13, or +11, because they are both 12 places away from -1.

Answer:

62 inches

Step-by-step explanation:

Since we need to leave 2 cm of room on both sides, the maximum width of TV is 136 - 2 - 2 = 132 cm. Next, use the Pythagorean Theorem, a^2 + b^2 = c^2, to find the diagonal.

132^2 + 86^2 = c^2

c^2 = 17424 + 7396

c^2 = 24820

c = 157.543644746 cm

Finally, convert the value to inches using the given conversion factor.

157.543644746/2.54 = 62.0250569868 inches