A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.

Answer:

the slope=-1 the slope perp=1

Step-by-step explanation:

to find slope perpendicular you just have to multiply your slope by something and have it equal -1

for example

1/2x=-1

the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1

so the slope x perpendicular slope = -1

Answer:

Step-by-step explanation:

baskets times apples

47 times 35

=1645

pls mark me brainliest

Answer:

The answer is correct

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

-2x = -32

x = 16

The value of  Pw(w) and Fw(w) are (0, 0.4, 0.8, 1) for different random variable X. And E[W] = -E[X] = -0 = 0.

(a) To find Pw(w), we need to determine the probability that the transformed random variable W takes on a specific value w. In this case, W = -X.

Since W is the negative of X, the probability that W equals w is equal to the probability that X equals -w.

Pw(w) = P(X = -w)

Considering the CDF of X, we have the following intervals:

For -∞ < x < -3: Fx(x) = 0

For -3 < x < 5: Fx(x) = 0.4

For 5 < x < 7: Fx(x) = 0.8

For 7 < x < ∞: Fx(x) = 1

Since W = -X, we can rewrite the intervals as:

For ∞ < w < 3: Fw(w) = 0 (since X = -w is not within the range of X)

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(b) To find Fw(w), we need to determine the cumulative distribution function (CDF) of W. From the previous calculations:

For ∞ < w < 3: Fw(w) = 0

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(c) To find E[W], we need to calculate the expected value of W. Since W = -X, we can express E[W] as:

E[W] = E[-X] = -E[X]

We can use the CDF Fx(x) to find the expected value of X:

E[X] = ∫ x * f(x) dx

Using the intervals and probabilities from the CDF:

E[X] = (-3 * 0.4) + (0 * (0.8 - 0.4)) + (6 * (1 - 0.8))

E[X] = -1.2 + 0 + 1.2

E[X] = 0

Therefore, E[W] = -E[X] = -0 = 0.

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:

17,430g

Step-by-step explanation:

convert kilogram to gram

1kg = 100g

0.83 x 1000 = 830g

there are 7 days in a week

7 x 3 = 21 days

total grams used in 3 weeks = 21 x 830 = 17,430g

Using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.

One kind of proportionality relationship is inverse proportion.

If two quantities are inversely related, one will increase while the other will decrease.

Building a wall would be an example of an inverse proportion in action.

On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.

So, the value of the second quantity will be:

The formula for inverse proportion:

y = k/x ...(1)

Pur x = 15 and y = 18 in (1) as follows:

15 = k/15

× 15 on both sides:

15 × 15 = k/15 × 15

k = 270

Now, obtain y as follows using the same process:

Let, x = 10 and k = 270:

y = k/x

y = 270/10

y = 27

Therefore, using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.

Know more about inverse proportion here:

https://brainly.com/question/1266676

#SPJ4

Complete question:
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second quantity when the first is 10.

a. 8

b. 1/3

c. 12

d. 27.

Answer:

27

Step-by-step explanation:

odyssey

Answer:

fadil probably mixed up the x and y values

Step-by-step explanation:

the ordered pair is (5,7) not (7,5)

Answer:

x = 4

y = 15

Step-by-step explanation:

4x-y=1

-3x+y=3

In elimination, you have to have at least one term where they are opposites, but with equal coefficients. Since this requirment is met, we can add the 2 equations. This gives us:

x=4

Now we substitute x to find y.

4(4)-y=1

16-y=1

-y=-15

y=15

Answer:

(2, 9 )

Step-by-step explanation:

4x - y = - 1 → (1)

- 3x + y = 3 → (2)

adding the 2 equations term by term will eliminate y

x + 0 = 2

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

4(2) - y = - 1

8 - y = - 1 ( subtract 8 from both sides )

- y = - 9 ( multiply both sides by - 1 )

y = 9

solution is (2, 9 )

Using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

The average cost of tuition and fees at private nonprofit four-year colleges is $26,640 per year, with a standard deviation of $6,617. Assuming a normal distribution, let x represent the cost for a randomly selected college.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
Let's say we want to find the probability that x is more than $30,000.
Z = (30000 - 26640) / 6617
Z = 0.051
Using a Z-table or calculator, we can find the corresponding probability to be approximately 0.4801. This means that there is a 48.01% chance that the cost for a randomly selected college is more than $30,000.
In conclusion, using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

28 km per hour

Step-by-step explanation:

First determine the amount of time that the trip took

17:55 - 17:40 = :15 or 15 minutes

We need the time in hours

15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours

To determine speed, take distance and divide by time

7 km ÷( 1/4 hours)

Copy dot flip

7 * 4/1

28 km per hour

Answer:

\( {9}^{y} = \frac{ {3}^{5} \times {9}^{6} }{ {27}^{3} } \\ \)

• express in terms of 3:

\( {3}^{2y} = \frac{ {3}^{5} \times {3}^{12} }{ {3}^{9} } \\ \)

• from law of indices:

\( {a}^{n} \times {a}^{m} = {a}^{(n + m)} \\ \\ \frac{ {a}^{n} }{ {a}^{m} } = {a}^{(n - m)} \)

• therefore, let's apply the laws:

\( {3}^{2y} = {3}^{(5 + 12 - 9)} \\ \\ {3}^{2y} = {3}^{8} \)

• from third law of indices:

\( \{ {a}^{x} = {a}^{y} \} \equiv \{x = y \}\)

• apply the law:

\(2y = 8 \\ y = \frac{8}{2 } \\ \\ { \underline{ \underline{ \: \: y = 4 \: \: }}}\)

Answer:

Step-by-step explanation:

\(9^y=\dfrac{3^5*9^6}{27^3} \\\\\\(3^2)^y=\dfrac{3^5*(3^2)^6}{(3^3)^3} \\\\\\3^{2y}=3^{5+12-9}\\\\\\2y=8\\\\\\y=4\\\)

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

To know more about average visit:

https://brainly.com/question/897199

#SPJ11

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

Learn more about Rational Expression here

https://brainly.com/question/6460158

#SPJ4

The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

The location where the paths cross is (5, 12)

From the question, we have the following functions that can be used in our computation:

y = -x² + 6x + 7

y = x+ 7

Next, we plot the graph of the functions y = -x² + 6x + 7 and y = x+ 7

This is represented on the attached graph

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (5, 12)

Hence, the location is (5, 12)

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

To learn more about behavioral segmentation

https://brainly.com/question/30667392

#SPJ11

Answer:

  (-2, 0) and (4, -6)

Step-by-step explanation:

You want the ordered pair solutions to the system of equations ...

We can set the f(x) equal, rewrite to standard form, then factor to find the solutions.

  x² -3x -10 = -x -2

  x² -2x -8 = 0 . . . . . . . add x+2

  (x +2)(x -4) = 0 . . . . . . factor

The values of x that make the product zero are ...

  x = -2, x = 4

The corresponding values of f(x) are ...

  f(-2) = -(-2) -2 = 0

  f(4) = -(4) -2 = -6

The ordered pair solutions are (-2, 0) and (4, -6).

<95141404393>

The graph matches the graph in option (D), hence, option (D) is the correct answer.

The given function is;

f(x) = 1 if -1 < x ≤ 0,

2 if 0 < x ≤ 1

3 if 1 < x ≤ 2

Note that from -1 to 0 the value of f(x) is 1, therefore, its graph will be a horizontal line passing through y = f(x) = 1 from -1 to 0.

Similarly, the graphs of f(x) =2 from o to 1 and f(x) = 3 from 1 to 2 will look like this.

The graph of the function is shown.

The graph matches the graph in option (D), hence, option (D) is the correct answer.

Learn more about the step function:

brainly.com/question/118594

#SPJ12

The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

What is meant by average?

Equation of best fit line is y =  -0.71 + 0.86x

y = predicted price in cents of a stamp.

x = represents the number of years since 1958.

Slope = 0.86 means rate of chance of price in cent per year slope is positive mean increase in price .

The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

To learn more about average refer to

https://brainly.com/question/20118982

#SPJ1

Answer:

1. is 1 2/5

i cant do all of them but of you search "mixed numbers soup" you can find answers to all of them.

Answer:

1.C

2.A

3.F

4.E

5.B

Step-by-step explanation:

Subtracting mixed numbers works much the same way as adding mixed numbers. To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number.

To prove that if f(x) ∈ Zp[x] has no factor of the form x^2 + ax + b, then it has no quadratic factor over Zp, we can use the contrapositive statement.

Contrapositive: If f(x) has a quadratic factor over Zp, then it has a factor of the form x^2 + ax + b.

Proof:

Assume that f(x) has a quadratic factor over Zp. This means there exists a non-constant polynomial g(x) ∈ Zp[x] such that g(x) divides f(x) and g(x) is a quadratic polynomial.

Since g(x) is a quadratic polynomial, we can write it as g(x) = x^2 + ax + b, where a and b are elements in Zp.

Now, let's consider the division of f(x) by g(x):

f(x) = q(x) * g(x) + r(x),

where q(x) and r(x) are polynomials in Zp[x] and the degree of r(x) is less than the degree of g(x) (since g(x) is a quadratic polynomial).

If r(x) is non-zero, then r(x) is a polynomial of degree less than 2 and does not have the form x^2 + ax + b.

If r(x) is zero, then f(x) = q(x) * g(x), which implies that g(x) is a factor of f(x) and has the form x^2 + ax + b.

In either case, we have shown that if f(x) has a quadratic factor over Zp, then it has a factor of the form x^2 + ax + b.

Therefore, by proving the contrapositive statement, we can conclude that if f(x) has no factor of the form x^2 + ax + b, then it has no quadratic factor over Zp.

Learn more about contrapositive statement here: brainly.com/question/12151500

#SPJ11

Answer:

3×6²

3×36

108 is the answer weirdo

A hostel is a form of budget inn that provides simple, shared lodging.

In the given case it can be concluded that the

a)Let total cost = y

Let no. of days = x

According to question,

y = 50x + 1000

(b) Given, no. of days = 21, i.e. x = 21

Putting x = 21 in the above equation ,we have

y = 50*21 + 1000

= 1050 + 1000 = Rs. 2050

The cost of your specific college will often determine the hostel and mess fees. However, the majority of the time the hostel rates include the mess fees. In addition to mess and hostel fees, there are laundry fees.

To know more about hostel here

https://brainly.com/question/10339518

#SPJ4

Answer:

2

Step-by-step explanation:

count your fingerssssssssssssd

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

Answer:

18π

Step-by-step explanation:

the area of a circle is :

A= r²*π     where r is the radius

here r²  =81⇒ r= 9

the circumference of a circle is :

P= 2*r*π

P= 18π

Answer:

18 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

81 pi = pi r^2

Divide by pi

81 = r^2

Take the square root of each side

sqrt(81) = sqrt (r^2)

9 = r

We want the circumference

C = 2 * pi * r

C = 2 * pi * 9

C = 18 pi

Answer: 8 nickels

Step-by-step explanation:

To find the amount of nickels, we can use system of equations. Let's use n for nickel and d for dimes.

Equation 1

n+d=30

This equation comes from the total amount of coins.

Equation 2

0.05n+0.1d=2.6

This equation comes from the worth of the nickels and dimes added together.

To the amount of nickels, we can use elimination method.

0.1n+0.1d=3

0.05n+0.1d=2.6

Now that the dimes are equal, we can subtrace the equations.

0.05n=0.4

n=8

There are a total number of 8 nickels.