What is the equation of parabola Mcq?

Answers

Answer 1

The standard equation of a parabola takes the form ( y^2 = ± 4ax ).

In mathematics, a parabola is defined as a plane curve that is approximately U-shaped and mirror-symmetrical. Simply a parabola refers to a set of points that lie equidistant from the focus and the directrix.

In real life, the parabola has several important applications, from a parabolic antenna or parabolic microphone to the design of ballistic missiles and automobile headlight reflectors. It is frequently used in physics, engineering, and various other areas.

The standard equation of a parabola opening upwards or downwards is y^2 = ± 4ax.

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Related Questions

pls help me with this

Answers

-9x+5=-9x-1+6 is the equation which has no solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is -7x+2x+5-4x=_x+6

Add the variable on left hand side

Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.

-9x+5=-9x-1+6

Hence, -9x+5=-9x-1+6 is the equation which has no solution.

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I need help solving this

Answers

Answer:

the answer is in the picture

The figure on the right is an isometry of the figure on the left. Are their orientations the same or opposite? Which type of isometry is shown?

a. Opposite; Reflection
b. Opposite; Translation
c. Same; Rotation
d. Same; Glide Reflection

Answers

The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).

What is isometry?

Any isometry in the plane is a miracle combination of a rotation, a reflection, and a translation. In three dimensions, the issue becomes a little more difficult since each isometry is a combination of a translation, a reflection, and a rotation about a particular axis.

The figure on the right is an isometry of the figure on the left.

As per the question,

The type of isometry is shown, there are orientations with the same and rotation.

Hence, the correct answer would be option (C).

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3x+6y = 18
2x+5y= 24

Pls use elimination!

Answers

Answer:

Step-by-step explanation:

3x+6y = 18

y=4

2x+5y= 24

y=9.5

LOTS OF POINTS
The zero of a quadratic function is . What does this tell you about the graph of this quadratic function?

A The parabola touches the x-axis in one place,x=-1/2 .

B The parabola crosses the x-axis in two places, x=-1/2 and x=1/2

C The parabola touches the x-axis at the origin.

D The parabola crosses the x-axis at x=-1/2 . You can substitute this value into the quadratic function to find the location of the other zero.

Answers

Answer:   I'm pretty sure the the answer is B I had a question like this and my answer was b

Step-by-step explanation: if not I am soo sorry

"55 miles per hour" translated

Answers

55 miles per hour is equivalent to 24.6992 meters per second.

Translate milles to meter / second?

To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mile = 1609.34 meters.

To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mph = 0.44704 m/s.

So to convert 55 mph to m/s, you can multiply 55 by 0.44704:

55 mph * 0.44704 m/s/mph = 24.6992 m/s

Therefore, 55 miles per hour is equivalent to 24.6992 meters per second.

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AB || CD and CD || EF. How long is the space dedicated to growing beans?

CARROTS

3 ft

C

CELERY

2 ft

6 ft

D

BEETS

F

BEANS

1. 5 ft

PEAS

ROSES

TOMATOES

A.

2 ft

B.

3 ft

C.

2. 5 ft

D. 4 ft

Answers

The space dedicated to growing beans is 4 ft.

"AB || CD" and "CD || EF" mean that lines AB and CD are parallel and lines CD and EF are parallel as well. Since lines AB and EF are parallel and the length of line CD is 6 ft, the length of line AB and line EF is also 6 ft.

From the information given, we can see that the space dedicated to growing beans is the distance between lines CD and EF.

We also know that the space dedicated to growing beets is 3ft, and the space dedicated to growing celery is 2ft.

Therefore, we can subtract 3ft + 2ft from 6ft to find the space dedicated to growing beans: 6ft - 3ft - 2ft = 4ft.

So the answer is 4ft.

Therefore, The space dedicated to growing beans is 4 ft.

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Rectangles have the following properties:
(pick all that apply)
Multiple select question.

A)
Diagonals are congruent

B)
Opposite angles are congruent

C)
Adjacent sides are parallel

D)
All 4 angles are 90 degrees

E)
Opposite sides are congruent

F)
Consecutive angles add to 360 degrees

G)
Cannot be a parallelogram

Answers

Rectangles have the following properties:

The diagonals are congruent Opposite sides are congruentAll 4 angles are 90 degrees

What are the properties of Rectangles?

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

A rectangle's opposite sides are the same length (congruent). A rectangle's angles are all congruent (the same size and measure.) The term "right angle" refers to an angle that is 90 degrees or more. A rectangle therefore has four right angles. A rectangle's opposing angles are congruent.

Therefore, options A, B, D , are correct.

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x-5(x-1)=x(-2x3) solve the equation

Answers

Answer:

x-5(x-1)=x(-2x3)

x-5x+5=-5x

-4x+5=-5x

-4x+5-5=-5x-5

-4x+5x=-5x+5x-5

x= -5

Step-by-step explanation:

a rectangle has a perimeter of 116 units if the length is 2 less than 5 times the width what’s the width

Answers

The width of rectangle is 10 units.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 116 units

let the width be x.

then the length is 5x - 2.

so, Perimeter of rectangle = 116 units

2 (5x -2 + x)= 116

2(6x - 2) = 116

6x - 2 = 58

6x = 60

x= 10

So, the width is 10 units and length is 5(10)-2 = 48 units

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What happens to the parent graph, y= square root X when the equation is changed to y=-(square root X+1) select all that apply

Answers

When the parent graph of the equation, y = √x is changed to y = -√x + 1, the following statements are true:

B. shift down one unit.

C. reflect over the x-axis.

What is a translation?

In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.

Next, we would translate the parent graph of the equation down by one unit;

y = √x - (k)

y = √x - (-1)

y = √x + 1

What is a reflection?

In Geometry, a reflection over the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

Lastly, we would apply a reflection over the y-axis;

(x, y)     →     (x, -y)

y = -(√x + 1)

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How is log x calculated?

Answers

Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.

1. Choose a base for your logarithm, usually base 10.

2. Type in the equation log10(x) into the calculator or computer program.

3. Enter the number x into the equation in place of the variable.

4. Hit the “enter” or “calculate” button to find the logarithm of x.

Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.

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please please helpp!!

Answers

The value of 'n' in this right-angled triangle is n = 8.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Therefore, From the given information 3.4n + 9.2n - 10.8 = 90.

12.6n = 100.8

n = 100.8/12.6.

n = 8.

So, The value of n is 8.

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Which is a correct ordered pair using Sabah's function? *
O ($1125, $500)
O ($1250, $505)
O ($1300, $505)
O ($1600, $532)

Answers

Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.

What is a ordered pair function in math?

A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.

An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.

Therefore the correct answer is ($1125, $500) .

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Imani
spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12? And use a equation

Answers

simplifying yields 1/2 * x + 4 = 12. In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation. To obtain x = 16, solve for x. 16 dollars were her weekly salary.

How to find the calculation?

Equivalent equations are algebraic equations that are having identical roots or solutions.

x equals a weekly stipend.

Mini-golf is where she spends half her time.

She paid her parents four bucks to wash the car.

Her final earnings were $12.

x - 1/2 * x + 4 = 12

simplifying yields 1/2 * x + 4 = 12.

In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation.

To obtain x = 16, solve for x.

16 dollars were her weekly salary.

Eight were left after she spent half on mini-golf.

She had four from her folks to wash the car.

After everything, she was left with 12.

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Micah saved $6 on a $40 pair on pants. ________​

Answers

$6 is 15% off of the originally $40 pants, so micah got a 15% deal

What is the derivative of 7e to the 7x?

Answers

The derivative of 7e to the 7x is 7e to the 7x * 7ln(e) * 7. The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x.

1. Take the natural logarithm of the base: ln(e7x)

2. Take the derivative of the natural logarithm: 7x*ln(e)

3. Apply the chain rule: 7e7x * 7ln(e) * 7

The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x. The natural logarithm of e7x is ln(e7x). Taking the derivative of the natural logarithm yields 7x*ln(e). We then apply the chain rule to get the final result of 7e7x * 7ln(e) * 7. In other words, the derivative of 7e to the 7x is equal to 7 multiplied by e raised to the 7x power, multiplied by 7ln(e), and then multiplied by 7 once more. This can be simplified to 7e7x * 7ln(e)7.

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How do you graph natural log equations?

Answers

To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.

1. Find the y-intercept: Set the equation equal to 0 and solve for y.

2. Find any asymptotes or solutions: Set the equation equal to 0 and solve for x.

3. Find the domain and range: The domain is all real numbers and the range is all real numbers greater than or equal to the y-intercept.

4. Plot any points of intersection: Use the values found in step 2 to plot points on the graph.

5. Draw the graph: Connect the points to form a continuous line.

To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.

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How do you find the area of an l angle?

Answers

A compound shape is a shape that is made up of other simple shapes. In this article, we will be working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:

Step 1: Work out the missing lengths around the edge of the compound shape.

Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).

Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.

Step 4: Add the areas of the rectangles together to give the total area of the L shape.

Complete question: How do you find the area of an L angle?

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Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?

Answers

The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time required for the new guy to finish the car be A

Now , the equation will be

The total time worked by the two mechanics = 2 hours

The time for the 1st person to finish the car = 6 hours

So , the amount of work done in 2 hours by 1st person = 2/6 = 1/3 of total

The time for the 2nd person to finish the car = 8 hours

So , the amount of work done in 2 hours by 2nd person = 2/8 = 1/4 of total

And , the remaining work = 1 - ( 1/3 + 1/4 )

On simplifying the equation , we get

The remaining work = 1 - ( 7/12 ) = 5/12 of the work

Now , the time required for the 2nd person to complete 5/12 of the work =

A = 5/12 x 8

A = 5 x 2/3

A = 10/3

A = 3 1/3 hours = 3 hours and 20 minutes

Hence , the time required is 3 hours and 20 minutes

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What is teh value for the expression 6 + 9w - 5s when w = 7 and s = 2?​

Answers

The value for the expression 6 + 9w - 5s is 59.

How do you locate the algebraic expression?

You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.

When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).

The expression 6 + 9w - 5s when w = 7 and s = 2.

                          6 +(9*7 - 5*2) = 6+63 - 10 = 59.

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what is the prior probability of the bid being successful (that is, prior to the request for additional information)

Answers

a)The prior probability of the bid being successful is 50%.

b) The conditional probability is 71%.

c) The posterior probability is 64.55%.

a) Prior Probability = P(B)

                                [tex]= \frac{Number of favourable outcomes for n event}{Total number of outcomes}[/tex]

                               = [tex]\frac{1}{2}[/tex]

                              = 0.5 = 50%

b) Conditional probability of a request for additional information given that the bid will ultimately be successful.

Conditional Probability = P(A|B)

                                      = [tex]\frac{71}{100}[/tex]

                                      = 0.71  = 71%

c) Posterior probability that the bid will be successful given a request for additional information.

P(B)=0.5

P(A|B)  = 0.71

P(A) = P(B)P(AB) + P(B')P(AB)

P(A) = (0.5 * 0.71) + (0.5 * 0.39)

P(A)  = 0.335 + 0.195

P(A)    = 0.550

Posterior Probability = P(B|A)

                                  [tex]= \frac{P(B) * P(B|A)}{P(A)}[/tex]  

                                 [tex]= \frac{0.5 * 0.71}{0.550}[/tex] = 0.6455 = 64.55%

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a) Find out the prior probability.

The complete question is:

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 71% of the successful bids and 39% of the unsuccessful bids, the agency requested additional information.

a) What is the prior probability of the bid being successful (that is, prior to the request for additional information) (in decimals)?

b) What is the conditional probability of a request for additional information given that the bid will ultimately be successful (in decimals)?

c) Compute the posterior probability that the bid will be successful given a request for additional information (in decimals).

if 12 labor takes 20 days to dig a land. in how many days 8 labor can dig the same land? calculate

Answers

Answer: 30 days

Explanation: 12 x 20 = k, where k is a constant. 8x = k, where x is the number of days. So 12 x 20 = 8x, 8x = 240, x = 30 (30 days).

in the binary value 1002, what is the place value of the 1?

Answers

Answer: 4s place

Also could you mark my answer as brainliest? It helps and doesnt hurt

Thank you please help

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Hope this helps!

Step-by-step explanation:

Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

b = ( -2, 0 )

a = ( -5, -2 )

[tex]slope = \frac{0 - (-2) }{-2 - ( -5)}[/tex]

slope = [tex]\frac{2}{3}[/tex]

Which type of polynomial is x² 9x 20?

Answers

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

This is a second-degree polynomial, which is a polynomial with the highest power of the variable being 2. It is written in the standard form as ax^2 + bx + c, where a, b, and c are coefficients, and x is a variable. In this case, a = 1, b = 9, and c = 20.

To calculate this polynomial , we first substitute each value into the formula:

1x^2 + 9x + 20

Next, we multiply each coefficient with its corresponding variable:

1(x^2) + 9(x) + 20

Finally, we expand the terms and add them together to find the sum:

x^2 + 9x + 20

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

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5. Find the product of:
a) -2x (4x²-5x - 3)

Answers

Answer:

-8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 6x

Step-by-step explanation:

Question 5 of 23
What is the slope-intercept equation of the line below?
A. y = 5x-2
B. y = -4/5x-2
C. y = 4/5x-2
D. y = 5x+2

Answers

The slope-intercept equation of the line below is C. y = 4/5x-2.

What is slope-intercept equation?

Slope-intercept equation is a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. It can be used to graph a line on a two-dimensional plane, and is used to calculate the rate of change (rise/run) between two points on the graph.

This slope-intercept equation can be determined by analyzing the given line. By looking at the graph, we can see that the slope of the line is 4/5, which means that the coefficient of x in the equation is 4/5. Additionally, the y-intercept is at -2, so the equation is y = 4/5x-2.

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The owner of a sporting goods store randomly surveys 150 customers, of whom 95 are first-time customers. During the next week, the store has 900 customers. Based on the data from the survey, how many of the customers can the store owner expect to be first-time customers?

Answers

Answer: 570

Step-by-step explanation: In survey the total customers were 150 so our sample size is 150.

Total number of First time customer = 95

Probability of being a first time customer = 95/150 = 0.63

So on first day using same probability the first time customers will be 900 × 0.63 = 570

Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $1,000 per week, and spends $300 each week on his expenses. If he wants to save a total of at least $30,800, how many weeks at minimum does he have to work for in order to reach his goal?

Answers

Ricardo has to save for a minimum of 44 weeks.

What is savings?

For the salary earner, the way of savings is the way that he or she may be able to achieve the gals of life. In the case of the question that we have here, at his current job, he makes $1,000 per week, and spends $300 each week on his expenses.

The target amount that he wants to save is  $30,800.

Total income per week = $1,000

Expenses per week = $300

Amount saved per week = $700

To save  $30,800;

700n =  $30,800

n = Number of weeks

n =  $30,800/700

n = 44 weeks

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