Write a quadratic function in standard form whose graph has a vertex of (2, 6) and passes through the point (4, 10) .

Answers

Answer 1
A quadratic function in standard form is of the form y = ax^2 + bx + c, where a, b, and c are constants. The vertex of the graph of a quadratic function is at the point (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

To write a quadratic function in standard form with a vertex of (2, 6) and that passes through the point (4, 10), we can first use the coordinates of the vertex to determine the values of h and k. We know that h = 2 and k = 6, so we can substitute these values into the formula for the vertex to find the value of a:

k = a(h^2) + bh + c
6 = a(2^2) + b(2) + c
6 = 4a + 2b + c

We can then use the coordinates of the point (4, 10) to find the value of b:

10 = a(4^2) + b(4) + c
10 = 16a + 4b + c

Solving the system of equations formed by these two equations, we find that a = -1, b = 6, and c = 4. Therefore, the quadratic function in standard form whose graph has a vertex of (2, 6) and passes through the point (4, 10) is y = -x^2 + 6x + 4.

Related Questions

2 1/3 - (-5) Please solve

Answers

Answer:

the answer is down below there are several of them.

Step-by-step explanation:

the exact form is- 22/3

decimal form is- 7.3

mixed number form is- 7 1/3

mark me brainliest if i am correct

Answer:

Step-by-step explanation:

There are two minus signs in front of the 5. Anytime you have an even number of minus signs in front of a number, the sign goes positive.

So - - - (-4) would become 4 because there are 4 minus signs in front of the 4.

- - - -  - (-9) would give just 9.

In this case, the question becomes 2 1/3 + 5 = 7 1/3

I don't know how you are to enter the answer. The alternate answer is 7.333

Please help me solve this fast!

Please help me solve this fast!

Answers

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Sunflower we haved renewed your helper thank you with working with our business

Answers

Answer: wdym? do u need any help

Step-by-step explanation:

plsss help and please dont be scammer

plsss help and please dont be scammer
plsss help and please dont be scammer

Answers

Answer:

38 students

Step-by-step explanation:

because 19% of 205 is 38.95, but not fully 39 students, so about 38 students

Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting

Answers

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

If the lines are perpendicular, parallel, or intersecting, they are not skew.  Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first.  If the lines are classified as neither, then they are skew.

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

m is the slope,and b is the y-intercept.

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

The slopes of perpendicular lines are negative reciprocals of each other.  

We can show this in the following formula:

m2 = -1 / m1, where

m1 is the slope of one line,and m2 is the slope of the other line.

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

The intersection point of two lines have the same x and y coordinate.  To determine if the two lines intersect, we treat them like a system of equations.

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

add the two equations, eliminate the ys, and solve for x:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Find the x-intercepts of the graph.
20
X =
10
y
2
4
y=-3x² + 14x + 5
], x=
X
X

Find the x-intercepts of the graph.20X =10y24y=-3x + 14x + 5], x=XX

Answers

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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Find the x-intercepts of the graph.20X =10y24y=-3x + 14x + 5], x=XX

How often should I study math per week?


I usually study every day but that's really tiring for me

I know this isn't the perfect place to put this question but I have no one else to ask sooo

Answers

Step-by-step explanation:

math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.

there is not a one sized fits all answer, do what's best for you.

Answer:

I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.

Step-by-step explanation:

What is the different in the measures of angle WVX and angle WXV?

What is the different in the measures of angle WVX and angle WXV?

Answers

Answer:

wvx=57

wxv=180-149

=31

57-31

26

If I was getting food stamps and I needed three months proof of income and I had to have a gross of 2495 and net of 1920 what would I need to put for the three months income amount?

Answers

Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

 

You just got your quiz back from your teacher and it says that you received a 27/45; therefore your grade on the quiz is a ____ %

Answers

27/45 = 0.6
0.6(100) = 60%

solve this equation
3/5x-2=2/3x-1

Answers

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

What is the solution to the given equation?

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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What’s the mean of 46,57,66,63,49,52,61,68

Answers

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57

PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!

PLEASE HELP ME:)(50points)WILL MARK THE BRAINLIEST !!

Answers

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

Find the area under the standard normal curve between z=0.45 and z=1.13

Answers

Step-by-step explanation:

the answer is in the above image

Find the area under the standard normal curve between z=0.45 and z=1.13

How many inches apart will four bolts be along the circumference of the metal plate shown in the figure to the right

How many inches apart will four bolts be along the circumference of the metal plate shown in the figure

Answers

The number of inches apart that the four bolts will be along the circumference of the metal plate shown in the figure is 9.425 inches.

What is the circumference?

The circumference refers to the total distance around a circle.

The circumference can determined using the following formula.

Circumference = 2πr

Diameter of the circle = 12 inches

Radius = 12/2 inches = 6 inches

Circumference = 2 x 22/7 x 6

= 37.7 inches

The number of bolts along the circumference = 4

Distance between the four bolts = 9.425 inches (37.8 ÷ 4)

Thus, using division operation, the distance apart of the four bolts is 9.425 inches.

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Using the Substitution Method, find the value of y in the below system of equations?

-2y = 4x – 4
7x = -4y + 10

Answers

Answer:

y = 6

Step-by-step explanation:

-2y = 4x – 4

y = -2x + 2

7x = -4(-2x+2) + 10

7x = 8x-8+10

7x = 8x+2

7x -2 = 8x

-2 = x

plug this into the first equation and the value of y is 6

The value of y using substitution method on the given simultaneous equations is; y = -2

We are given the equations;

-2y = 4x - 4 - - -(eq 1)

7x = - 4y + 10 - - - (eq 2)

From eq 1, divide through by -2 to isolate y;

y = -2x + 2

Substitute -2x + 2 for y in eq 2 to get;

7x = -4( -2x + 2) +10

Expand the bracket to get;

7x = 8x - 8 + 10

7x = 8x + 2

8x - 7x = 2

x = 2

Put 2 for x in y = -2x + 2 to get;

y = - 2(2) + 2

y = -4 + 2

y = -2

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Does anyone know this answer??

Does anyone know this answer??

Answers

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

what percent of 20 is 18?​

Answers

Answer:

90%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

18/20

The number above the bar is the numerator: 18

The number below the bar is the denominator: 20

Divide the numerator by the denominator to get fraction's value:

Val = 18 ÷ 20

Remove all perfect squares from inside the square root. Assume yyy is positive.
\sqrt{39y^9}=
39y
9

Answers

The final expression is

sqrt (39y9) = y4 • sqrt(39y) assuming y as positive.

Rewrite

39 y ^9 as ((y^2)^2)^2 . 39 y

Factor out y^8.

√39(y^8 . y).

Rewrite   \(y^8 as (y^4)^2\)

 √39(y^4)^2 . y).

Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

    sqrt(x8)=x4

    sqrt(x-6)=x-3

  (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     sqrt(x5)=x2•sqrt(x)

     sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

SQRT(y9) = y4 • SQRT(y)

Therefore, sqrt (39y9) = y4 • sqrt(39y)

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What are the slope and the y-intercept of Brenda's graph?
A. Slope =1 /3; y-intercept = 7

B. Slope = -3; y-intercept = 21

c. Slope = - 1/3 ; y-intercept =21

D. Slope- 1/3 ; y-intercept = 7

What are the slope and the y-intercept of Brenda's graph?A. Slope =1 /3; y-intercept = 7B. Slope = -3;

Answers

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

The graph of the equation x + 3y = 6 intersects the y-axis at what the point?

Answers

Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

In a marketing survey, a random sample of 1020 supermarket shoppers revealed that 268 always stock up on an item when they find that item at a real bargain price.

a. Find a 95% confidence interval for p?
b. What is the margin of error based on a 95% confidence interval?

Answers

Answer:

a) 95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error  = 0.0270.

Step-by-step explanation:

a)

\(\hat{p}\) = point estimate of p \(= 268/1020 =0.2627\)

\(\hat{q}= 1 - 0.2627 = 0.7373\)

\(SE = \sqrt{\hat{p}\hat{q}/n}\\\\=\sqrt{0.2627\times 0.7373/1020}=0.0138\\\alpha = 0.05\)

From Table, critical values of \(Z= \pm1.96\) ,

Lower limit

                  \(= \hat{p} - Z SE\\ = 0.2627 - (1.96 X 0.0138) \\ = 0.2627 - 0.0276 \\ = 0.236\)

upper limit = 0.2627 + 0.0276

                 = 0.2903

Correct option:

95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error =Z SE

                              = 1.96 X 0.0141

                              = 0.0270.

The contribution margin is
the

Answers

The contribution margin is the selling price per unit minus the variable cost per unit. “Contribution” represents the portion of sales revenue that is not consumed by variable costs and so contributes to the coverage of fixed costs

Write an equation of the line using function notation.
Slope​ 0; through (−3,−2)
The equation of the line is ​f(x)=

Answers

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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A punch bowl can hold 64 cups of punch.
How many pints of punch will it hold?
16 pt
256 pt
32 pt
128 pt

Answers

A punch bowl can hold 64 cups of punch and 32 pints of punch.

Unit rate is the quantity of an amount of something at a rate of one of another quantity

1 bowl = 64 cups

1 pint = 2 cups

64 cups = 32 pints

1 bowl = 32 pints

A punch bowl can hold 32 pints of punch.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A punch bowl = 64 cups

1 pint = 2 cups.

The number of pints of punch in the punch bowl.

1 pint = 2 cups

Multiply 32 on both sides.

32 x 1 pint = 32 x 2 cups

32 pints = 64 cups

This means,

A punch bowl can hold 32 pints of punch.

Thus,

A punch bowl can hold 32 pints of punch.

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Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00

Answers

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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9) Solve for x.
x² + 5x - 36=0

Answers

Answer:

x=4.-9

Step-by-step explanation:

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?

y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

Answers

The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

The lines A and B are parallel. Identify a pair of corresponding angles?

The lines A and B are parallel. Identify a pair of corresponding angles?

Answers

Answer:

2 and 5............................

Answer:

Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)

Step-by-step explanation:

Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.

In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_

Answers

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

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