Mathematics Middle School

Rewrite this function in the form that reveals the minimum of the function.
c(p)=p^2-28p+250

Answers

Answer 1
Given that the function is given by:
c(p)=p^2-28p+250
The minimum value of the function is at the derivative of c'(p)
thus from the function given:
c(p)=p^2-28p+250
c'(p)=2p-28
Thus the minimum function is c'(p)=2p-28

Related Questions

Kenny wrote the equation for a linear relationship shown below
Y=-3x+4
If x equals 7 what is the value of y

Answers

y would equal -17! Good luck!
Y is equal to -17. This is the answer becuase -3 times 7 is -21 and -21 plus 4 is equal to -17.

A car listens plate is made up of 7letters or numbers, where the numbers are whole numbers 0-9.

Suppose the license plate is randomly generated, one character at a time.

What is the probability the first character is a number?

Enter you sender as a decimal rounded to the nearest hundredth

Answers

there is 26 letters and 10 numbers, so a possibility of 36 different characters for each one

so probability of the first character being a number would be 10/36 as a fraction and 0.2777 ( the seven keeps repeating) as a decimal

rounded to nearest hundredth would be 0.28

Nora started a business making bracelets. She spent $75.00 on advertising and $35.00 on supplies. She sells each bracelet for $1.50. What is the least number of bracelets Nora needs to sell to make money than she spent? Show your work.

Answers

$75 ads + $35 supplies = $110.

110 / 1.50 = 74.

Why did I divide? we take the money she spent and divide by the cost of a bracelet to figure out how many she needs to sell to get $110.

74 bracelets need to be sold.

it is 1,325 feet from kinsey's house to her friend carlito's house. when she visits carlito, she walks to his house and gets a ride home from carlito's mom. how many feet does kinsey walk to carlito's house in 112 visits.

Answers

148,400 feet
hope this helps!
Final answer:

Kinsey walks a total of 148,400 feet to visit Carlito's house 112 times. This was calculated by multiplying the distance of a single trip (1,325 feet) by the number of trips (112).

Explanation:

To solve this problem, we simply need to multiply the distance that Kinsey walks to Carlito's house by the number of visits she makes. So, the calculation would be 1,325 feet * 112 visits.

After doing this multiplication, we find that the total distance Kinsey walks to Carlito's house in 112 visits is 148,400 feet.

This is a good example of how problems can be solved using simple multiplication in real-life situations, like calculating the total distance covered in multiple trips.

Learn more about Multiplication here:

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one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

Answers

The true statement for the given information is the y coordinate is negative

The correct answer is:

d. The y-coordinate is negative.

Let's break down the problem step by step:

1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.

2. Determine the Coordinates of the Endpoints:

  - For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.

  - For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.

3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:

  [tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]

Now, let's apply these steps to find the properties of the midpoint:

1. Identify the Quadrants of the Endpoints:

  - Endpoint 1: Quadrant 2

  - Endpoint 2: Quadrant 3

2. Determine the Coordinates of the Endpoints:

  - Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate

  - Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate

3. Find the Midpoint:

  - Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.

  - Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.

Therefore, the correct answer is:

d. The y-coordinate is negative.

The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).

Complete question:

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

a. the x coordinate is negative

b. the x coordinate is positive

c. the y coordinate is positive

d. the y coordinate is negative

solve 2x^3 - 3x^2 + 8x - 12 = 0 (this is complex zeros btw)

Answers

Move all Terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]x= \frac{3}2} , 2i , -2i[/tex]

Jack rented a boat for one day.it cost 15.50 plus 0.35 per hour.if jack paid 16.90 in total for the boat rental.for how many hours did he use the boat?

Answers

The equation would be .35x +15.50! 
You can subtract 15.50 from 16.90 to get 1.40. Then divide 1.40 by .35! You would get 4! Good luck!
Hi,
15.50+0.35=15.85
no. of hrs=amount he paid/cost
no. of hrs=16.90/15.85
no. of hours=1.04(actually it is a recurring decimal(or in a mixed fraction it is 1 27/317)
Hope this helps you.

Is (5,6.5) a solution to y= -1/2x + 9?

Show your work please!!

Will give brainliest!!

Please Help!!

Answers

6.5 = - 1/2(5) + 9

6.5 = - 2.5 + 9 which is the same as 6.5 = 9 - 2.5

6.5 = 6.5

So yes, this ordered pair IS a solution. 

McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?

Answers

$1499 since you multiply 100 by 15 and 100 by 29.99 to get 2999 and 1500. Subtract them together to get 1499. (2999-1500)
Well the person who bought all 100 shovels got a discount because 15 times 100 is 1500 and then you subtract 29.99. which is 1470.01

Is 3.2 meters equal to 320 millimeters?

Answers

1 meter = 100 centimetres
3.2 meter = 3.2 x 100 = 320 centimetres

1 centimetre = 10 millimetres
320 cm = 320 × 10 = 3200 millimetres

Answer : 3200 millimeters
Hello.

1 meter = 1000 millimeters.

3.2 * 1000 = 3200 millimeters

So no, 3.2 meters is not equal to 320 millimeters.

Have  a nice day

On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grades. How many A's were there if total number of students in the Algebra class is 24?

Answers

x= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)


STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)


CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24


ANSWER: There were 17 students with grade A.

Hope this helps! :)

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale] What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answers

i think it is 11.5 feet 

Answer:  11.5 feet

Step-by-step explanation:

Given: The height of Fatim = 6 feet

At noon, he stands with the sun behind him casting a shadow. Also, Fatima is standing vertical to the ground such that a right triangle is formed.

Let the length of Fahim’s shadow be x.

By Pythagoras theorem , we have

[tex]13^2=x^2+6^2\\\\\Rightarrow169=x^2+36\\\\\Rightarrow\ x^2=169-36\\\\\Rightarrow\ x^2=133\\\\\Rightarrow x=\sqrt{133}=11.5325625947\approx11.5[/tex]

Hence, the  length of Fahim’s shadow =11.5 feet

1. One box of cereal is 16 ounces and costs $3. A smaller box of The same cereal is 11.5 ounces and costs $2. Which box of cereal is the better but? Explain.
2. I'm an N-guage model train set, a tank car is 3.75 inches long. The actual tank car is 50 feet long. What is the ratio of the length of the actual tank car to the length of the model tank car?
3. 9 km/1 hour = ?m/ 1 second

Answers

1. The 1.5 oz box for $2 is best because if you make $3 into $6 then the box is 32 oz. And if you change $2 to $6, the box is 34..5 oz which is better because its bigger.
1. it would be smarter to but the 16 oz bag because your getting more out of your money with the 11 oz bag you would be paying 5.75 per oz but with the 16 oz bag you are paying 5.30 per oz so it is a better choice to choose the 16 oz bag

Mike took a taxi from his home to the airport the taxi driver charged an initial fee of six dollars +3 dollars per mile for total fare was $24 not including the tip how many miles and make travel by a taxi on his ride

Answers

Since it gives us 24 and initial fee was 3, we must subtract 3 from 24 to get 21.

Next, we divide 21 by 6 to get 3.5. 

Therefore, the answer is 3.5 miles by taxi.

Hope this helps.
Mike traveled 6 miles. Because, we subtract the initial fee from $24, we now have $18, and we divide by 3 since its $3 per mile.

What is the depth and volume of this rectangular prism in cubes and cubic inches?

Answers

Height = 3 cubes
Width = 5 cubes
Depth = 4 cubes

Number of Cubes = 3*4*5 = 60

Each cube is .2 inches on each side

So, it's volume = 1 * .6 * .8 = .48 cubic inches

Double - Check
Each cube is .2*.2*.2 = 0.008 cubic inches
There are 60 cubes so the volume =
60 * .008 = .48 cubic inches CORRECT !!




A translation is a transformation in which every point of the preimage is moved the same distance in the same direction.

Answers

A translation in math when a figure is slid across a graph and every point is moved the same distance and direction as each other. This transformation allows for the shape to stay the same,, but change coordinates on the graph. This means that the correct answer to your question is true.
Let me know if you have any further questions.
:)

Is (4,-2) a solution to the equation 5x - y = 18?

Show your work please!

Will give brainliest!!

Please Help!

Answers

The answer is yes! It is! For future reference use Desmos.com!
This is a graphing website that can really help. ;)
 This is the graph that I used. As you can see the line runs through (4,2)
5(4) - (- 2) = 18
20 + 2 = 18
22 ≠ 18

It is not a solution. 

what is the equation of this circle in general form

Answers

Based on the graph, we know that the center of the circle is at (3,0) and its radius is 5. We can plug this into the standard form of the equation:

(x-3)²+y²=25

We can expand this to put it into general form:

x²-6x+9+y²=25
x²+y²-6x-16=0

Someone plz help me!!!

Answers

[tex]w(x)=|-x-3|\\\\q(x)=|x|+3\\\\h(x)=|x-3|\\\\f(x)=|x+3|-3[/tex]

Suppose your friends parents invest $15,000 in an account paying 4% annually. What will the balance be after 9 years?

Answers

Here's the equation for one year:
0.04(15000) + 15000
Because it is 9 years:
0.36(15000) + 15000
We can make it simpler:
1.36(15000)
Multiply:
20400
Their balance  is $20400

A pop star is coming for a live concert in your area. The ticket proceeds will benefit a nonprofit organization helping underprivileged children interested in music education. They would like to raise $1,500. Stage-level seats are on sale for \$10 each and balcony-level seats are on sale for \$5 each. How many of each seat type would need to be sold to reach the goal of \$1,500?
Please really need help :(

Answers

just divide 1500 by 10 for the stage level seats and then divide 1500 by 5 for the balcony seats.

27 PTS + BRAINLIEST. I need all of these questions answered. I will award brainliest to the fastest and most correct answer. I will report unrelated answers.

ex: 2a. -4x

Answers

2 Simpify:
a -4 X x = -4x
b -10 X y = -10y
c -1 X a = -a
d b X (-1) = -b
e -4 X 2m = -8m
f 6 X -3a = -18a
g -8 X -3a = 24a
h -6m X 4 = -24m
i -7 X 8n = -56n
j -a X -3 = 3a
k 6x / -2 = -3x
l -10m / -5 = 2m
m -24a / 8 = -3a
n 2(m+3)-8=2(m)+2(3)-8=2m+6-8=2m-2
o 5(m-1)+9=5(m)+5(-1)+9=5m-5+9=5m+4
p 3(a-5)+10=3(a)+3(-5)+10=3a-15+10=3a-5
q 4(2x+1)-8x=4(2x)+4(1)-8x=8x+4-8x=4
r 3(10-2x)+3x=3(10)+3(-2x)+3x=30-6x+3x=30-3x
s 4(3-x)+9x=4(3)+4(-x)+9x=12-4x+9x=12+5x

3 Simplify by collecting like terms:
a 7a-5b+2a-6b=(7+2)a+(-5-6)b=(9)a+(-11)b=9a-11b
b 11x-2y-5x+7y=(11-5)x+(-2+7)y=(6)x+(5)y=6x+5y
c 3m+2g-5g-4m=(3-4)m+(2-5)g=(-1)m+(-3)g=-m-3g
d 6a-7-9a+10=(6-9)a+(-7+10)=(-3)a+(3)=-3a+3
e 7p-2q-6p+3q=(7-6)p+(-2+3)q=(1)p+(1)q=p+q
f 3x+7-12-5x=(3-5)x+(7-12)=(-2)x+(-5)=-2x-5
g 2ab+3bc-5ab+bc=(2-5)ab+(3+1)bc=(-3)ab+(4)bc=-3ab+4bc
h 6t^2+3t-5t^2-8t=(6-5)t^2+(3-8)t=(1)t^2+(-5)t=t^2-5t
i 9y-6z-9y+5z=(9-9)y+(-6+5)z=(0)y+(-1)z=0-z=-z
j 2k-3k^2-4k+k^2=(2-4)k+(-3+1)k^2=(-2)k+(-2)k^2=-2k-2k^2
k 10t+5w+t-7w=(10+1)t+(5-7)w=(11)t+(-2)w=11t-2w
l 7a-3b-8a-5b=(7-8)a+(-3-5)b=(-1)a+(-8)b=-a-8b

A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do 4 jars contain

Answers

There are 8 fluid ounces in a cup.

First multiply 26 x 4 = 104
There are 104 fluid ounces in 4 jars of spaghetti sauce.

Now divide 104 by 8.
104/8 = 13

4 jars of spaghetti sauce contain 13 cups of spaghetti sauce.

Nick flew 1,560 miles in 3 hours on his airline flight. How far did nick fly in 1 hour ?

Answers

1560 / 3 = 520

He flew 520 miles in one hour. 
If you divide 1,560 by 3 hours you would get 520mph

So, your answer would be 520mph

Hope this helps :D

you need 2/3 cup of flour to make 1 loaf of bread. how much flour to make 3 loaves of bread?

Answers

Hi there!

To make 3 loaves of bread you will need ~ 2 cups of flour

Hope this helps!
Hello there!

2/3 cup of flour = 1 loaf
x cup of flour = 3 loaves

Cross multiply

1 * x = 2/3 * 3

x = 6/3

x = 2

Thus,

We need 2 cup of flour to make 3 loaves of bread.

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

The table shows the data of a random sample of fish that were collected from and later released into a lake.


Type of Fish Bass Eel Gar
Number of Fish 92 56 52


How many bass are estimated to be present if a sample of 1,000 fish is collected from the lake?
1: 184
2: 292
3: 420
4: 460

Answers

total fish listed in the table:
92 + 56 + 52 = 200

92 were Bass, so 92/200 = 0.46 = 46% of the sample were bass

 based on that 46% of 1000 fish would be bass

1000 * 0.46 = 460

the answer would be 4. 460

Nancy rowed across the lake with her friend Kelly at a rate of 5 mph. Kelly then rowed back at a rate of 4 mph. If the lake is 6 miles across, how long did it take them to complete their trip?

Answers

it would be 1.2 hours or 72 minutes to go forward 5 mph
and it would 1.5 hours or 90 minutes to go backward 4 mph
so it would take 2.7 hours
hope this helps :)

which of the following expressions is equivalent to the expression below? 4/7*5/9 a.5/9/ 4/7 b.4/7 /5 /9 c.4/9 / 5/7 d.4/7 /

Answers

Final answer:

To simplify the expression 4/7 * 5/9, the equivalent expression is 20/63.

Explanation:

To simplify the expression 4/7 * 5/9, we can multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. So, the expression becomes 20/63. Therefore, none of the options listed are equivalent to 4/7 * 5/9.

Learn more about Equivalent Expressions here:

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Final answer:

None of the options a, b or c are equivalent to the expression 4/7*5/9. The correct expression must simplify to 20/63.

Explanation:

The question is asking to find out which of the provided expressions is equivalent to the expression 4/7*5/9. The correct option should yield the same result as the original expression when calculated. The expression 4/7*5/9 simplifies to 20/63.

Let's check the provided options:

Option a: 5/9 divided by 4/7 simplifies to 35/36, which is not equal to 20/63.Option b: 4/7 divided by 5/9 simplifies to 36/35, which is also not equal to 20/63. Option c: 4/9 divided by 5/7 simplifies to 28/45, which is not equal to 20/63.

The provided information about relative frequencies is irrelevant for this question.

Learn more about Equivalent Expressions here:

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I need the answer ASAP!!

At Joe's Market, three oranges and one apple cost $1.86, and two oranges and three apples cost $2.15. What is the cost of one apple?

Answers

o=orange
a=apple

equation 1
3o+a=$1.86
a=$1.86-3o

use a=$1.86-3o in equation 2

equation 2 
2o+3a=$2.15
2o+3($1.86-3o)=$2.15
2o+$5.58-9o=$2.15
$5.58-7o=$2.15
$5.58=$2.15+7o
$3.43=7o
$0.49=o

then use $0.49=o for equation 1.

equation 1

3($0.49)+a=$1.86
$1.47+a=$1.86
a=$0.39

so an apple is $0.39.

This morning, a convenience store had 21 granola bars in stock. The store sold 6 granola bars throughout the day. If the store will receive a shipment of 42 granola bars tomorrow, how many granola bars will it have in stock?

Answers

Had 21 bars. Sold 6.
Left (21-6)
Will receive  42 granola bars (21-6+42)
21-6+42=57 granola bars
57 granola bars, a store will have in stock.

After selling 6 out of 21 granola bars, the store has 15 left. Following a shipment of 42 granola bars, the store will have a total of 57 granola bars in stock.

To find out how many granola bars the store will have in stock after the shipment, we should first calculate how many granola bars are left after the sales by subtracting the number sold from the initial stock. They started with 21 granola bars and sold 6, so they have 21 - 6 = 15 granola bars left. Then, we add the number of granola bars in the shipment arriving tomorrow to the number they currently have in stock. They will receive 42 granola bars in the shipment, so the total will be 15 + 42 = 57 granola bars in stock after the shipment arrives.

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