Mathematics High School

Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached!

Answers

Answer 1

9514 1404 393

Answer:

a) P = -28(x -112)² +7500

b) $102.55 or $121.45

Step-by-step explanation:

a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...

P = a(x -112)² +7500

The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.

-7312 = a(89 -112)² +7500

-14812 = a(529)

a = -14812/529 = -28

So, the desired quadratic relation is ...

P = -28(x -112)² +7500

b) The values of x that make P = 5000 can be found from ...

5000 = -28(x -112)² +7500

-2500 = -28(x -112)² . . . . . . . . subtract 7500

89.286 = (x -112)² . . . . . . . . . . . divide by -28

±9.45 = x -112 . . . . . . . . . . take the square root

x = 112 ± 9.45 = {102.55, 121.45}

Setting the price at about $102.55, or $121.45, will yield a profit of $5000.

Related Questions

.) A store receives 8 boxes of picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 frames left that can be sold. The store manager wants to know how many frames are in each box. ) Write an equation

Answers

Answer:

There are 6 boxes

Step-by-step explanation:

We know there are 45 frames and 3 broken ones, so there are 48 frames in total.

We know there are 8 boxes that have the frames.

let x equal the amount of picture frames in a box

8x=48

8x/8 = 48/8

x=6

Can any one help with this one?
Solve for x.

[tex] {x}^{2} - 13x + 12 = 0[/tex]

Answers

Answer:

Solution given:

[tex] {x}^{2} - 13x + 12 = 0[/tex]

doing middle term factorization

x²-12x-x+12=

x(x-12)-1(x-12)=0

(x-12)(x-1)=0

either

x=12

x=1

value of x is 1 or 12.

A scuba diver is 240 feet below sea level and descends 50 feet further down to observe the sea life.

What is the diver's new position? (PLS HELP!!)

Answers

Answer:

The new position is 190 feet below sea

Step-by-step explanation:

240-50=190

Answer: -290.

Step-by-step explanation: Take 240 and add 50=290. If he is down, it's a negative number.

How can I find the area of the shaded area?

Answers

I don’t know I thought I did

Let u = <3. 3> and v = < 11. 8>. Find u + v.

Plssss help me!

Answers

Answer:

<13, 11>

Step-by-step explanation:

HELP ME WITHS THIS PLEASE, I TRIED DOING IT BUT I can’t

Answers

Answer:

are you sure

Step-by-step explanation:

Answer:

Put an X on D, C, and F

G= 256

A=20

B=560 ( I'm not too sure)

H= 6

E= (I'm sorry I cant do E I have to go)

Step-by-step explanation:

What is the leg rule

Answers

Answer:

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the lengths of the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.

Step-by-step explanation:

Was definetly not copy and pasted from g.o.o.g.l.e. no siree

x x
110°
y
70
y = [ ? ]

Answers

Answer:

y=90

Step-by-step explanation:

Add both numbers

110 + 70=180

divide by 2

180 ÷ 2 = 90

Answer:

y=90

hope that helps

find the number of combinations: 9C5

Answers

Answer:

9 is the answer :)

Step-by-step explanation:

3 * 3 is 9

HERE PLEASE HELP ME OUT

Answers

Vertex: (-2,-3)
Axis of Symmetry: x=-2

What is the area of kite ABCD?

Answers

Answer:

72 square cm

Step-by-step explanation:

Area for a kite can be found by A=pq/2

p = 9

q = 16

(9)(16) = 144

144/2 = 72

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

Answers

Answer: [tex]200\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular prism is

[tex]l=5\ cm\\w=10\ cm\\h=4\ cm[/tex]

The volume of the prism is given by [tex]V=l\times w\times h[/tex]

[tex]\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3[/tex]

Therefore, the volume of the prism is [tex]200\ cm^3[/tex].

PLEASE HELP ME ASAP NEED IN FIVE MIN. PLEASE NO LINKS OR FILES. I WILL MARK BRIANYLEST AND I AM GIVEING 10 EXTRA PIONTS AS WELL.

In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses:
29, 30, 31, 33, 35, 36, 37, 38, 87. .
Which measure should be used to summarize the data?

1. Mean
2. Median
3. Mode

Answers

Answer:

id say the mean

Step-by-step explanation:

Answer: Mean

Step-by-step explanation: It's the average value.

hii i’ll give brainliest please help thanks :)

Answers

Answer:

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest.

Hope this help

Which of these expressions represents the product of t and 13
A. 13- t
B. 13t
C. 13+ t
D. 13 divided by t

Answers

Answer:

B is your answer for your math problem

Find the surface area of the cone. h = 12 ft, r = 5ft, l = 13 ft

Answers

Answer:

total surface area is 267.14

Answer:

90π ft^2.

Step-by-step explanation:

SA = πr(r + l)

= 5π(5 + 13)

= 90π

find an equivalent value to cos 18°

A) sin 18°
B) cos 72°
C) sin 72°
D cos 162°

Answers

Answer:

C) sin 72 degrees

A car travels 60 miles in 50 minutes. Calculate the average speed of the car in mph.

Answers

Average speed: 72 mph
Explanation:
To get the car's average speed, all you really need to know is
the total distance travelled by the car
the total time it needed to cover that distance
In your case, you know that the car travelled for a total of 60 miles and that it needed 50 minutes to do so.
Since you need to express the average speed in miles per hour, not miles per minute, you're going to have to use a simple conversion factor to get you from minutes to hours.
First, calculate the average speed in miles per minute
v
avg
=
d
total
t
total
v
avg
=
60 miles
50 minutes
=
1.2 mi/min
Now convert this value to miles per hour
1.2 miles
1
minute
⋅
60
minutes
1 hour
=
72 mph

Answer:

1.2mph

5x10=50

so it 1

if 2x5=10=.2

then 2x5=10+50=1.2 due to the .1=5

or just do 60/50=1.2

Step-by-step explanation:

a fair coin is flipped 7 times what is the probability of getting all heads

Answers

Answer:

1 in 128

I know if you flip a coin 7 times, the odds of getting 7 heads in a row is 1 in 27 or 1 in 128.

Step-by-step explanation:

Which polynomial function has zeros at -3, 0, and 4?

f(x) = (x + 3)(x2 + 4)

f(x) = (x2 - 3)(x - 4)

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

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

Answers

Answer:

If 5 is zero then (x - 5) is a factor.

Only 4. has this factor.

Step-by-step explanation:

Brendan is adding to his book collection. He buys 6 books for $15 each. How much money does Brendan spend on the books?

Answers

$90

6 multiplied by 15 is 90, thus $90

I NEED HELP PLEASEEE ILL PUT BRAINIEST PLEASE

Answers

Answer:

A. 26

Step-by-step explanation:

45/30=39/x

Cross multipy.

1170=45x

Divide by 45.

Answer is 26.

I need help on this

Answers

Answer:

1200

Step-by-step explanation:

Step 1 convert pounds to ounces

1 pound = 16 ounces

So to convert pounds to ounces we multiply by 16

1500 * 16 = 24000

So there are 24000 ounces in 1500 pounds

Step 2 Find how many 20 ounce containers he can fill.

To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20

So answer = 24000/20

24000 / 20 = 1200

Therefore he can fill 1200 20 - ounce containers

what fraction is equivalent to negative 3 over 2

Answers

Answer:

-6/4

Step-by-step explanation:

Write the equation of the line that passes through the points (7,5) and (-2,3). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

slope - intercept form: y=2/9x+31/9

point slope form: y-5=2/9 • (x-7)

The perimeter of an equilateral triangle is 57 feet. What is the length of one of its sides?

Answers

Answer:

19 feet, 5.7912 m

Step-by-step explanation:

perimeter=3à

57=3a

57/3=a

19=a

Mark me brainliest

Simplify the below expression.

Answers

Answer:

x^4

Step-by-step explanation:

The answer is the first choice!!

What is the slope of the line? PLEASE PLEASE HELP FAST!

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

heyy! i’ll give brainliest please help

Answers

Answer:

Step-by-step explanation:

THE THIRD CHOICE

Answer: I would say B is the answer because you should never capitalize those directions

Which lines must be parallel?

Answers

Answer:

The answer is option A) r and s

R and s have to be parallel

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