Find the vertex and x-intercepts for the parabola given by y=3x^2+2x-16

Step-by-step explanation:

(+3x)-3x+12=-3x-12(+3x)

12=-12

But it is not sensible, so the ans is no solution

Answer:

ur momma

Step-by-step explanation:

yea so you take the 5/8 and the 2 and the 2/7 and you dd then subtract then divide

Answer: 48yx^1+2y^3

Step-by-step explanation:

Given, the measure of arc VXY= 320 degrees.

Since the sum of the major and minor arcs of a circle is 360 degrees, we can write

If an angle is inscribed in a circle, then the angle equals one half the measure of its intercepted arc.

Arc VY is the intercepted arc of

Hence, \(\begin{gathered} <\text{VXY}=\frac{1}{2}m(\text{arc VY)} \\ =\frac{1}{2}\times40^{\circ} \\ =20^{\circ} \end{gathered}\)Therefore, the measure of angle VXY is 20 degrees.

Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~

Answer:

Impossible

Step-by-step explanation:

How is that even possible

Answer:

47

Step-by-step explanation:

if my answer is right please mark branliest

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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(1) p value is 0.234. So the 4th option is correct.

(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.

(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.

4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

We consider the following hypothesis-

H0: µ1 = µ2 vs H1: µ1 ≠ µ2

Where µ1 is the population mean of the non FL res

µ2 is the population mean of the FL res

1) p value = 0.234

(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)

Hence the 4th option is correct.

2) We know if p value ≤ α we reject the null.

Here since p value grater that any alpha values so we fail to reject the null.

Hence the 4th option is correct i.e, t none of the usual α.

(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.

(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

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The right question is given below:

Answer:

(3) c=$40+$30h

Step-by-step explanation:

Answer:

(3) c=$40+$30h

Step-by-step explanation:

Since there is an initial fee for a repair, that is just added. Since the hourly fee depends on how long it takes, it needs a variable with it.

Answer:

10

Step-by-step explanation:

f(x)=3x-1

g(x)= - 2x-4.  

g( f(-2))

First find f(-2)

Let x = -2

f(-2)=3(-2)-1 = -6-1 = -7

Now find g(-7)

g(-7) = -2(-7) -4 = 14 -4 = 10

Answer:

\(f(x) = 3x - 1 \\ g(x) = - 2x - 4 \\ g(f(x)) = - 2(3x - 1) - 4 \\ g(f(x)) = - 6x + 2 - 4 \\ g(f(x)) = - 6x - 2 \\ g(f( - 2)) = - 6( - 2) - 2 \\ g(f( - 2)) = 12 - 2 \\ \boxed{g(f( - 2)) = 10}\)

Answer:

2x³ - x² - 10x + 5

Step-by-step explanation:

Use FOIL method.

(x² - 5) (2x - 1) = x²*2x +(x²)*(-1) + (-5)*(2x) + (-5)*(-1)

                       = 2x³ - x² - 10x + 5

Answer:

It would be answers A and C

Step-by-step explanation:

Notice both end in negative 2, matching your range, so you can't get that correct using either B or D

The functions having domain (-∞,∞) and range (-2,∞) are f(x)=\(0.25^{x}-2\) and f(x)=\(3^{x}-2\).

A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.

We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).

Taking f(x)=\(0.25^{x}-2\)

f(0)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.

Taking f(x)=\(0.25^{x}+2\)

Because the above function is opposite of the first function so it behaves opposite as the function.

Taking f(x)=\(3^{x} -2\)

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

This function also has domain (-∞,∞) and range  (-2,∞) because the value of increases from -2 as the value of x increases.

Next function is opposite from the third function so it behaves opposite to third function

Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=\(0.25^{x}-2\) and f(x)=\(3^{x}-2\).

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So we have to find how much time those 4 appointments will take. Since the duration of each appointment is given in fractions it's important to remember a properties of fractions:

It is also important to remember the relation between the mix number notation and the usual fraction number notation:

With all of this in mind we can start working on the question. The four appointments consist of two 3/4 hr new patient visits, one 1 1/4 hr serious injury visit and one 3/4 hr dental sealing. The time it will take Roy to finish all of them (t) is equal to the sum of their individual times:

Using what we saw about mix number notation and fractions we get:

Then we have:

So the answer is 7/2 hours.

Answer:

0

Step-by-step explanation:

Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

The correct answer is B. What are the ages of all your cousins?

Explanation:

Statistics focus on using numbers to analyze variables in a population or in a specific sample taken from this population. This means statistical questions can be answered by analyzing different features in a population. For example, you can wonder what is the time students on a class spend doing homework?.

According to this, the one that is a statistical question is "What are the ages of all your cousins?" because this question focuses on analyzing one variable or factor in a population; in this case, the ages of your cousins, which requires gathering information and then using numbers to represent and analyze this, which is the objective of statistics.

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The owner bought the trumpet for $682.5.

Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus its cost to make or purchase for resale) by the cost of that unit. A markup percentage is a number used to determine the selling price of a product in relation to the cost of actually producing the product. The number expresses a percentage above and beyond the cost to calculate the selling price.

Formula: Markup % = (selling price – cost) / cost x 100

where markup = 30%

cost = $525

30 = (SP - 525) / 525 x 100

30 x 525 = (SP - 525) x 100

15750 = 100SP - 52500

15750 + 52500 = 100SP

68250 = 100SP

SP = 682.5

Therefore the selling price is $682.5

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Answer: a = 0.98

Explanation: For this case we have the following table:

x | P(x)

0| 0.1296

1| 0.3456

2| 0.3456

3 | 0.1536

4| 0.0256

We can find the expected value as:

E(X)= 0*0.1296 + 1*0.3456+ 2*0.3456+ 3*0.1536+ 4*0.0256= 1.6

Now we can find the second moment like this:

E(X^2)= 0^2*0.1296 + 1^2*0.3456+ 2^2*0.3456+ 3^2*0.1536+ 4^2*0.0256= 3.52

And the variance is given by:

Var(X)= E(X^2)- [E(X)]^2 = 3.52 -(1.6^2)=0.96

Then the standard deviation is:

Sd(X)= sqrt(0.96)=0.98

Answer:

what is that i dont know what that is it looks horrible

Step-by-step explanation:

Answer:

we can't download

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

ITs all good

Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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