The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm, which of the following can represent the length and width of the container?

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2  = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

(just found it on brainly)

Answer:

[tex]45c - 60 = 75 \\ 45c = 75 + 60 \\ 45c = 135 \\ \\ c = \frac{135}{45} \\ \\ c = 3[/tex]

I hope I helped you^_^

Answer:

1:6

Step-by-step explanation:

5 divided by 5 and 30 divided by 6

5:30

1:6

Answer:

answer is A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The bigger the denominator is the samller the fraction is.

Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,[tex]( {w}^{2} x - 3) \div 10 . z[/tex] and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

[tex]( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69[/tex]

Therefore, Required value of the given term is (-4.69)

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Answer:

y=-x+1

Step-by-step explanation:

y=-x+4

Substitute (0,1)

1=0+1

-1 is the gradient, if parallel then the gradient stays the same

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept

y = 4 - x , that is y = - x + 4 ← in slope- intercept form

with slope m = - 1

The slope crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - x + 1 ← equation of parallel line

Answer:

Aidan traveled 0 yards from the starting line

Step-by-step explanation:

Set up problem: 6-9+3

Solve

Hope this help! Have a great day!!

Answer:

2 and it is the solution to both

Step-by-step explanation:

i just did it lol

The point of intersection of y = 2x – 3 and y = 1 is (2,1).

Here, we have,

given that,

the equations are:

y = 2x – 3 ....1

and y = 1 .....2

now, we have to solve them.

so, putting the value of y from 2, in 1,

we get,

2x – 3 = 1

or, 2x = 4

or, x = 2

so, we have,

their point of intersection is (2,1).

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Step-by-step explanation:

[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]

[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]

[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ + 6 - 3}[/tex]

[tex]\longrightarrow\sf{ 3 }[/tex]

Answer:

Step-by-step explanation:

f(x) = 2x⁴ - 5x³ + 7x - 3

f(2) = 2(2^4) - 5(2^3) + 7(2) - 3

f(2) = 32 - 40 + 14 - 3

f(2) = 3

The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3

Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2  into the equation.

Answer:

50 ft by 15

Step-by-step explanation:

Answer:

the answer is 12

Step-by-step explanation  

i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]s = \pm 100[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

I am assuming that the equation given is:

[tex]s^2 = 10,000[/tex]

⸻⸻⸻⸻

[tex]s^2 = 10,000\\\rule{150}{0.5}\\\rightarrow \sqrt{s^2}= \sqrt{10,000}\\\\\rightarrow s = \boxed{\pm 100}\\\rule{150}{0.5}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]y=5x-13[/tex]

Step-by-step explanation:

Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.

Answer:

$106.08

Step-by-step explanation:

Given:

6x $5.00

5x $2.00

12x $1.00

9x= 0.50

6x25 cent

42x10 cent

10x5 cent

15=15cent

$97.23

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

6 five dollar bill is $30.00

so 5 two dollar bill is $10.00

12 one dollar bills is $12.00

9 half dollar bill mean 0.50 cent since it Half and that would make $4.50

6 quarter so 6x25 which equal $1.50

42 dimes and dimes =10 cent so 42x10 which equal $4.20

10 nickels and nickels = 5 cent so 10x5=0.50

15=15 pennies

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

30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =

$106.08 Total Deposit

Answer:

w = 21 feet

Step-by-step explanation:

The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Let's say the length of a rectangle is L while the width is W.

According to the given, L = 3W - 5

The perimeter of the rectangle is given as 2( length + width)..

Perimeter = 2(L + W)

2(3W - 5 + W) = 158

4W - 5 = 79

W = 21 feet.

Hence "The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet".

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Answer:

[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)

Step-by-step explanation:

Step 1: Use quadratic formula with a = 2, b = 1, c = -5.

Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].

Answer:

The coordinates of the original point would be (-9,4). This is because, by reflecting over the way y-axis, the point is moving across the x-axis and therefore, makes the x-coordinate negative.

The equation showing the variation of the temperature would be y=(23x) + 68.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A chef preheats an oven. It starts at room temperature, 68°F, and heats up to 23°F per minute.

The equation will be written as:-

y = 23x + 68

Here x is the time of preheating.

Therefore, the equation showing the variation of the temperature would be y=(23x) + 68.

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Answer:

$74

Step-by-step explanation:

1/5 of 85 is 17

85-17=68

68+6=74

Answer:

-4/9

Step-by-step explanation:

Answer:

25 - n

Step-by-step explanation:

n is a variable. It can represent any number. For example, 5 years ago, Mario would be 20 years old since 25-5 is 20.

So, if n is 8, you have to do 25 - 8 to find the answer to how old Mario was 8 years ago.

So his age n years ago, is 25 - n.

Hope this helps!

Answer:

0.625

the pictures I attached are the work. the pictures are in order from 1 to 5 in red.

[tex]slope = y2 - y1 \div x2 - x1[/tex]

[tex]1 - - 1 \div 6 - 0[/tex]

[tex]2 \div 6[/tex]

[tex]1 \div 3[/tex]

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

[tex]1 = 1 \div 3 \times 6 + c[/tex]

[tex]1 = 2 + c[/tex]

[tex]c = 3[/tex]

[tex]y = 1 \div 3x + 3[/tex]

Answer:

=6^7-5

=6²

plz mark me as brainliest

Answer:

36

67

65

=

67

65

=

6*6*6*6*6*6*6

6*6*6*6*6

=6*6

=62

=36

Answer:

4/16 ( 1 + 11) = 3

could be many answers as fractions see below

The last fraction seems more likely out the three or make it harder fraction.

Step-by-step explanation:

1/2 (2 + 4) = 3  as 1/2 of 4 is 2            1+2 = 3  

or

1/4 (4 + 8) = 3   as 1/4 of 8 is 2           1+2 = 3

or

3/4 ( 2 + 2) = 3   as 3/4 of 2 is 1 1/2   1.5 + 1.5 = 3

or harder fraction

4/16 ( 1 + 11) = 3

Answer:

6 stops

Step-by-step explanation:

well if you stop every 2 1/4 miles for 13 1/2....13 1/2 divided by 2 1/4 is 6. So they'll stop 6 times.

The number of rest stops before finishing the trail is 5 rest stops.

Given,

You are hiking along a trail that is 13½ miles long.

you plan to rest every 2¼miles.

We need to find how many rest stops will you make.

We divide the given value by the total number of items we want to distribute.

Example:

In 35 minutes how many 5 minutes?

= 35/5

= 7

We have,

Trail distance = 13 1/2 miles = 27/2 miles

Distance travelled before every each = 2 1/4 miles = 9/4 miles

The number of 4/9 miles in 27/2 miles.

= 27/2 / 9/4

= 27/2 x 4/9

= 27x4 / 2 x 9

= 3 x 2

= 6 times.

This means on the 6th time you have already finished the trail so,

You have rested 5 times before finishing the trail.

Thus the number of rest stops before finishing the trail is 5 rest stops.

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