Complete the square and put this function in vertex form: f(x)=x^2+20x+96

Answers

Answer 1

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4


Related Questions

Ok ok ok ok ok ok ok ok ok ok ok

Answers

Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased.

What equation models this function?



Enter your answer in the box.
f(x)=

Answers

Answer:

there you go took me a second but I got it

What is the unit price if 4 pounds of fruit
cost $6.487

Answers

0.54 I think I’m pretty sure it is tho

Simplify the expression: 4(2x - 5)

Answers

Answer:

8x - 20

Step-by-step explanation:

P.S Can I have brainliest?

Step-by-step explanation:

=4(2x-5)

=8x-20

hope it helps.

PLEASE HELP MSRKING PEOPLE AS BRAINLIDT

Answers

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps!

What is the median of the following data values?
98, 102, 53, 60, 22

Answers

Answer:  60

=================================================

Explanation:

Sort the values from smallest to largest.

You should get {22, 53, 60, 98, 102}

The middle most value is 60, so this is the median.

If you wanted, you can cross off the outermost pair of values (22 and 102) to end up with {53, 60, 98} to help see the middle better.

----------

Another approach:

We have n = 5 items in the sorted set {22, 53, 60, 98, 102}

The middle-most value is in slot 3 since n/2 = 5/2 = 2.5 which rounds up to 3. The value in slot 3 is 60, so this is the median. This trick only works when we have an odd number of values.

Answer: the median is 60

Step-by-step explanation: It is 60 because in order to find the mean you have to put all the numbers in order from least to greatest.

22,53,60,98,102.

after doing this you have to see how many quantity of data will pair up and the one that is left in the middle is the median. In other words you have 5 data sets in this example, 22 and 102 will be a pair and so will 53 and 98 which would leave 60 in the middle with no pair hence 60 would be the median

a man buys eggs at RS 9.60 per dozen and sell 20 eggs for RS 18 what is his gain or loss percen?​

Answers

Answer:

Percentage Gain = 12.5%

Step-by-step explanation:

Given

[tex]Cost\ Prize = 9.60[/tex] per dozen

[tex]Selling\ Price = 18[/tex] per 20

Required

Determine the percentage gain or loss

First, we have to calculate the unit cost price and the unit selling price.

If a dozen costs 9.60

Then 1 costs

[tex]Cost = 9.60/12[/tex]

[tex]Cost = 0.80[/tex]

If he sells 20 for 18

Then he sells 1 for:

[tex]Sell = 18/20[/tex]

[tex]Sell = 0.9[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Sell - Cost}{Cost} * 100\%[/tex]

[tex]\%Change = \frac{0.9 - 0.8}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1 * 100\%}{0.8}[/tex]

[tex]\%Change = \frac{10\%}{0.8}[/tex]

[tex]\%Change = 12.5\%[/tex]

Because the percentage change is positive, then he made a gain.

Hence:

Percentage Gain = 12.5%

Parallel lines have the same....
A) Equation
B) y - intercept
C) X - intercept
D) slope

Answers

The answer is D. They have the same slope.

Use the equation to predict how many glasses with 9
pieces of bling Bella can expect to sell. Do not round.
Input your answer. Then click done.

Answers

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

As pieces of the bling are represented on the x-axis, and the number of glasses is represented on the y-axis.

Given that the number of pieces of bling = x = 9

Thus,

[tex]y = 1.36x+1.54[/tex]

 [tex]= 1.36(9)+1.54[/tex]

 [tex]=12.24+1.54[/tex]

 [tex]=13.78[/tex]

Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

Kathy bought a pair of jeans on sale for 30% off of the regular price. If the jeans regularly cost $75.00, how much did she pay?

Answers

Answer:

$22.50

Step-by-step explanation:

52.5 because 75-30% is 52.5

What is the solution to the system of equations graphed below?

Answers

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

find the slope from the table x -2, -1, 0, 1, 2 y -3, -1, 1, 3, 5​

Answers

Answer:

slope = 2

Step-by-step explanation:

work is in the picture if you need it... please mark brainiest

Please help I’m gonna do many questions with the work

Answers

Answer:

take another picture

Step-by-step explanation:

Write an expression equal to 9^4

Answers

Answer:

9 x 9 x 9 x 9

Step-by-step explanation:

9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9

Davis completes five books in 2 days. How many books should he be able to complete in eight days?

Answers

Answer:
20 books
Step-by-step explanation:
- Find the rate of how many books per day Davis reads

[tex]\frac{5}{2}[tex] = 2.5
5 represents the amount of books
2 represents the number of days it took him to read those 5 books

2. Multiply the number of books per day by 8
2.5 x 8 = 20 books

the table represents a linear function.
a) -8
b) -4
c) 2
d) 5

Answers

Answer:

b. -4

Step-by-step explanation:

Every time one x value increases the y value decreases by 4. In the x values shown the number that should come after -4 is -3 so the y values -2 and -2 that are 8 units apart should be halved and be -4. This function maintains a constant rate of change throughout the function.

Need help asap please!!!

Answers

Answer:

25

Step-by-step explanation:

but i.d.k

Can anybody help on this (20 pts)

Answers

When x = -2, y = -5
When x = -1, y = -4
When x = 0, y = -3
When x = 1, y = -2
When x = 2, y = -1
Now plot these points on the graph: (-2,-5), (-1,-4), (0,-3), (1,-2), (2,-1)

Math Focus
4. Calculate What is the
kinetic energy of a 0.50 kg
hammer that hits the floor at
a speed of 10 m/s?

Answers

The kinetic energy of hammer is 25 m/s.

How to find the kinetic energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

given that

the mass of the hammer is 0.50 kg.

The velocity of the hammer is 10 m/s.

now find the kinetic energy of the hammer.

[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]

[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]

kinetic energy = 0.25 X 100

kinetic energy = 25 m/s.

Hence, the kinetic energy of hammer is 25 m/s.

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What is the ABSOLUTE maximum value of this graph?

Answers

Answer:

the absolute maximum is 3 because it's the highest point on the graph

Step-by-step explanation:

A salesman sells 2812 storybooks in November.
He sells 1845 more storybooks in December than in November.
How many more storybooks must he sell in order to reach a total
sale of 8500 storybooks in the 2 months?

Answers

Answer:

2812+1845

=4657

step 2

=8500-4657

=3843

he must sell 3843 books in the next 2 months

Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.9% interest,
compounded monthly, to meet their goal in 24 years?
$1,051.17
$2,102.34
$950.41
$4,446.41

Answers

Answer:

it would 4,446.41

Step-by-step explanation:

6x + 5y = 3 solve for y

Answers

Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

50 points i really need help

Answers

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

Montraie drove 220 miles in 5 hours. If he continued at the same rate, how long would it take to travel 88 miles?

Answers

Answer:

2 hours

Step-by-step explanation:

220/5=44 miles an hour

88/44=2

2 hours

The solution is 2 hours

Total time it will take Montraie to travel a distance of 88 miles is 2 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total time for Montraie to drive 88 miles be = A

The distance traveled by Montraie be D

The value of D = 220 miles

The time taken by Montraie to travel 220 miles is T = 5 hours

Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie

Substituting the values in the equation , we get

The speed of Montraie S = 220 / 5

The speed of Montraie S = 44 miles per hour

Now , the distance traveled by Montraie = 88 miles

So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S

Substituting the values in the equation , we get

The time taken by Montraie to travel 88 miles = 88 / 44

The time taken by Montraie to travel 88 miles A = 2 hours

Therefore , the value of A is 2 hours

Hence , The total time it will take Montraie to travel 88 miles is 2 hours

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The value of sallys caravan decreased by x% in the third year. At the end of the third year the value of sallys caravan was £16,500. Work out the value of x

Answers

The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

How to work out the value of x?

The given parameters are

New value = £16,500

Rate of decrease = x%

Let the initial value of the Sally's caravan be represented by y

So, we have the following equation

Initial value  * (1 - Rate of decrease) = New Value

This gives

y * (1 - x%) = 16,500

Divide both sides of the equation by y

So, we have

1 - x% = 16500/y

This gives

x% = 1 - 16500/y

Multiply through by 100

x = 100 - 1650000/y

Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

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19/258 = 21/?

help pls

Answers

Answer:

285.15

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]

Answers

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of 600 miles per hour. The cost C​ (in dollars) per passenger is given by...

​(a) What is the cost per passenger for quiescent​ (no wind)​ conditions?

Answers

The cost per passenger for quiescent (no wind) conditions is $252.33.

How to illustrate the information?

It should be noted that based on the information given, the cost function that was illustrated in the question is:

C(x) = 175 + x/25 + 32000/x

In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.

Therefore, the cost per passenger for quiescent conditions will be:

C(x) = 175 + x/25 + 32000/x

where x = 600

C(x) = 175 + x/25 + 32000/x

C(x) = 175 + 600/25 + 32000/600

C(x) = 175 + 24 + 53.33

C = $252.33

Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33

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Draw AABC with vertices at A(1,6), B(1, 1) and C(5, 1). In this triangle, AB2 + BC2 = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E = 90°, and
EF = BC.
Paste a picture of your drawing in the answer box

Answers

The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.

A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).

It is common knowledge that a triangle is a type of polygon with three edges and three vertices.

A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.

A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2

Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.

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