Mathematics High School

Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the square cutouts used to make it. This is the graph Tyler gets if he allows x to take on any value between -1 and 7.

What is the approximate maximum volume for his box?

Answers

Answer 1

Answer:

Step-by-step explanation:

Domain: 0<x<3.5

To get 3.5: 7/2=3.5

Negatives and decimals can't be used

Approximate maximum volume for this box? 55

Answer 2

The proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.

It is required to find the approximate maximum volume for his box.

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given:

From the attached graph (see attachment), we have the following observations:

1.The x values starts from -1 and ends at 60

2.The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)

3.x-values 0 to 3.5 have corresponding non-negative y-values

4.Other values of x have corresponding negative y-values

5.The maximum of the graph is at y = 60

Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.

Hence, the proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.

Learn more about co-ordinate geometry here:

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Related Questions

help pls ill mark as brainliest if correct

Answers

wouldn’t it be 14.8 above 8? like 14.8/8 i don’t know i’m just taking a wild guess

Step-by-step explanation:

5 miles =8 km

? miles=74 km

[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]

у = 2х - 1
2х + Зу = -7

Answers

Answer: 1. у %3 2х

Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points

PLEASE ANSWER and show work
im literally giving 20 brainly points so PLEASE HELP ME

Answers

Answer:

I wrote out the answers on top of the sheet. Hope this helped!

Step-by-step explanation:

simplify 4 to the 11th power over 4 to the -8th power

Answers

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

please help me i would really like the help

Answers

Answer:

Step-by-step explanation:

Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.

HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED

Answers

Answer:

1. is 4

2. is 3

3. is 10

4. is 13

Step-by-step explanation:

Hope this helpss!!

(GIVING BRAINLIEST!!!)

0.5 g of salt is equal to how many milligrams?

Show all of your calculations.

Answers

Answer:

500 mg

Step-by-step explanation:

K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)

since you're using grams substitute G for B

K H D G D C M

you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!

If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?

Answers

Answer:

try 30 1/4

Step-by-step explanation:

A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? (Note: do not include the units in your answer.)

Answers

Answer:

8000 for plato users

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

Tell whether a triangle can have sides with the
given lengths. Explain, why or why not.
3x + 2, x?, and 2x when x = 4

Answers

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?

Answers

Answer: 45

Step-by-step explanation:

3(-2m + 5) -6(-4m - 2) =

-6m + 15 + 24m + 12=

18m + 27

18= a 27= b 27 + 18= 45

The value of the expression a + b is 45.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can simplify the expression using the distributive property:

3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12

Combining like terms, we get:

18m + 27

So, a = 18 and b = 27, which means:

a + b = 18 + 27 = 45

Therefore,

The value of a + b is 45.

Learn more about expressions here:

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if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?

Answers

Answer:

60! hope this helps!

Step-by-step explanation:

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

Do you agree with the rules of the council on tall buildings and urban habitat regarding spires and antennae? Are the Petronas towers really taller than the Sears tower?

Answers

Answer:

Yes, I agree

The Petronas Towers are taller than the Sears tower

Step-by-step explanation:

The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.

According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.

The architectural height of the Petronas towers is 1,483ft

The architectural height of the Sears (now Willis) tower is 1,450ft

PLease answer this question

Answers

Answer:

b- 43%

Step-by-step explanation:

being technical its 42.857142857143% but assuming its round up it would be 43%

Answer:

c. 30%

Step-by-step explanation:

Number of the trees:

12 + 28 = 40

Number of infected is 12, so the percent of infected is:

12/40*100% = 30%

what is the difference between associative property,communitive property,and distributive property? (will mark brainliest)

Answers

Answer:

Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped

The associative property only changes the grouping and keeps the same order. Example- (2+3)+(4+5) -> 2+(3+4)+5
The communities property changes the order only. Example- 3+2 -> 2+3
The distributive property distributes the number from the outside of the parenthesis to the numbers inside
Example- 4(5+3) so you distribute the 4 to the 5 and 3 by multiplying. The answer would be 20+12
I hope this helps :))

The price of a pair of shoes increases from $67 to $83. What is the percent 1 point
increase to the nearest percent? *

Answers

Answer:

Step-by-step explanation:

Solve each multi-step inequality
6 - 8n > - 8 - 6n

Answers

Answer:

n<7

Step-by-step explanation:

hope i did okay for you

Answer:

7>n

Step-by-step explanation:

6-8n>-8-6n

Add 8n on both sides

6>-8+2n

Add 8 on both sides

14>2n

Divide

7>n

help will give brainliest

Answers

Answer:

18 and 32

Step-by-step explanation:

Pls help I don’t get it

Answers

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.

Answers

Answer:

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

X+x+25=100

2x=75

X=37.5%

Men=.375*270=101

SOMEONE PLEASE HELP WILL GIVE 25 POINTS

Answers

Answer:

Step-by-step explanation:

g(x) is vertical translation of f(x) by -12 units

If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)

(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please

Answers

Answer:

the answer is a I just took the test and its right

Step-by-step explanation:

(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

(d) Describe what the number 30 in Part (c) mean in the context of the situation?

Answers

Answer:

(d) 30 represents the y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 30[/tex]

Solving (c): What is y when x is 3

Substitute 3 for x in [tex]y = 7x + 30[/tex]

[tex]y = 7*3 + 30[/tex]

[tex]y = 21 + 30[/tex]

[tex]y = 51[/tex]

Solving (d): What does 30 represent

An equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]b = y\ intercept[/tex]

Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]

[tex]b = 30[/tex]

This implies that 30 represents the y intercept

(3-4 +5-3)-²

help me

Answers

Answer:

Step-by-step explanation:

Answer:

Your answer is literally 1

Step-by-step explanation:

(3−4+5−3)2

=1*1

Hope this is what your looking for

please help immediately this is 2 days late

Answers

Answer:

Step-by-step explanation:

HELP ASAP 3.) Andy's Karpet Kleaning charges a $23 consultation fee, plus $17 per hour to clean carpets. Stanley
Steemer charges a $37 consultation fee, plus $13 per hour. After how many hours will the total charge be the
same? What is the charge?

Answers

Answer:

After 3.5 hours and the charge is $82.50.

Step-by-step explanation:

Setting up the equations equal to each other will give a solution (x-value) that makes both sides equal (the same price) after the same amount of hours (x-value).

13x + 37 = 17x +23

x = 3.5

Then plug the hours into either side to get the equal price.

13(3.5) + 37 = $82.50

17(3.5) + 23 = $82.50

HELP PLS
Comparing irrational numbers with calculator

Compare.

Answers

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

If a point (5,2) is rotated counterclockwise 90º about the origin, its image will be point

(Im on a timed test, please help)

theres are the answer choices:
A. (-2, 5)

B. (-5, 12)

C. (2, 5)

D. (2, -5)

Answers

Answer:

The answer is A

Step-by-step explanation:

What would you multiply by to increase a number by 4%?

Answers

Answer:0.04

Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.

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