What is the slope of the line that passes through the points (-10, 0) and (-13, 3)? Write your answer in simplest form.

answer: 2w^3 - 9w^2 + 10w = 528

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 feet less than the width. Then the equation will be

L = 2W - 5          ...1

H = W - 2           ...2

Then the polynomial is given as,

V = L x W x H

528 = (2W - 5)(W - 2)W

528 = (2W² - 5W)(W - 2)

528 = 2W³ - 4W² - 5W² + 10W

0 = 2W³ - 9W² + 10W - 528

Factorize the equation, then we have

2W³ - 4W² - 5W² + 10W - 528 = 0

(W - 8)(4W + 7)² = 0

W = 8, 1.75i, and -1.75i

Then the length and height will be

L = 2 x 8 - 5

L = 11 feet

H = 8 - 2

H = 6 feet

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

Answer: 26 inches

Step-by-step explanation: 6.5 x 8 = 52/2 = 26  area of a triangle

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of  x  such that the following limit exists:

[tex]f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}[/tex]

Answer:

(2.405, 1.357)

General Formulas and Concepts:

Algebra I

Coordinate Planes

Step-by-step explanation:

To find the solution to a systems of equations, we can graph the functions in a coordinate plane and find where the 2 lines intersect. Where the 2 lines intersect is the solution to the systems of equations.

Answer:

4, 144, 145 are not Pythagorean triplets

Step-by-step explanation:

According tp Pythagoras theorem,

Sum of squares of two sides must be equal to square of the third side.

By Pythagoras theorem,

24^2 + 144^2 = 145^2

576 + 20736 = 21025

           21312 ≠ 21025

Numbers 24, 144, 145 does not satisfy the Pythagoras theorem.

So, 24, 144, 145 are not Pythagorean triplets.

Hence, checked.

Answer:

Answer:

[tex]\boxed {\sf x=6}[/tex]

Step-by-step explanation:

[tex]\sf 5(x - 3) + 2 = 5(2x - 8) - 3[/tex]

Use the Distributive property :

[tex]\boxed { \sf Multiply\: 5\: by \:x\: and \:5\: by\: 3:}[/tex]

→ [tex]\sf 5x-15+2[/tex]

→ [tex]\sf -15+2[/tex]

[tex]\sf =-13[/tex]

[tex]\sf 5x-13[/tex]

______________________

[tex]\sf 5\left(2x-8\right)-3[/tex]

[tex]\boxed {\sf Multiply\: 5 \: by \: 2x \: and \: 5\: by\: -8:}[/tex]

→ [tex]\sf 10x-40-3[/tex]

→ [tex]\sf -40-3=-43[/tex]

[tex]\sf 10x-43[/tex]

_______________

[tex]\sf 5x-13=10x-43[/tex]

[tex]\boxed {\sf Add\: 13 \:to\: both\: sides:}[/tex]

[tex]\sf 5x-13+13=10x-43+13[/tex]

[tex]\sf 5x=10x-30[/tex]

[tex]\boxed{\sf Subtract\: -10x\: from\: both\: sides:}[/tex]

[tex]\sf 5x-10x=10x-30-10x[/tex]

[tex]\sf -5x=-30[/tex]

[tex]\boxed{\sf Divide \:both \:sides\: by \:-5:}[/tex]

[tex]\sf \cfrac{-5x}{-5}=\cfrac{-30}{-5}[/tex]

[tex]\sf x=6[/tex]

___________________________

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5(x - 3) + 2 = 5(2x - 8) - 3

Step 2: Solve for x

Answer:

pablo and lakaka vvvvvvvvvvvvvv

Step-by-step explanation:

(i)To make 8 pancakes 250 ml milk is needed. So, to make 4 pancakes=

(250/8)×4=120 ml is needed!

(ii)To make 8 pancakes 5g butter is needed and to make 12 pancakes=

(5/8)×12=7.5 g butter is needed!

Answer:

1+1= 2

umm r u ok

have a nice day <3

Answer: c(t) = 2.4x + 6

ill give you the first two points, then you just go up 2.4 each hour

(0, 6)

(1, 8.4)

Answer:

c (t) = 2.4x+6

Step-by-step explanation:

if wrong pls forgive me

hope it helps tho

Answer:

the correct answer would be 1,800

Answer: 4 hours

Step-by-step explanation: 15-5=10 10/2.50 =4

Answer:

4 hours

Step-by-step explanation:

$15 is our initial value, and we have a flat fee of $5

15-5=10

We have a remaining $10 left to be divided by the $2.50 per hour

10÷2.50=4

4 tells us the number of hours

Answer:

(5, 0) and (4, 0)

General Formulas and Concepts:

Algebra II

Quadratics

Step-by-step explanation:

The x-intercepts of the parabola is where the quadratic is on the x-axis. According to the graph, we can see that the graph shows that the parabola touches the x-axis at 4 and 5.

∴ our answer is (5, 0) and (4, 0)

Answer:

84,700 is the answer. If I multiply

Part to part ratio

For 2 oranges and five bananas

2oranges:5bananas(2:5)

Part to whole ratio

2oranges:7pieces of fruit(2:7)

5bananas:7pieces of fruit (5:7)

All the best!

Answer:

[tex]y = \frac{8x + 6}{2}[/tex] = 4x + 3

Step-by-step explanation:

2y = 8x + 6

y = (8x + 6) / 2

y = 8x / 2 + 6 / 2

y = 4x + 3

Answer:

6.98

Step-by-step explanation:

8.50x.76(the remainder of 100 after 24 is taken out) =6.46

8% of 6.46 is around 52 cents

6.46+.52=6.98

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

multiply 35 by the ratio 1/2

35/2=17.5

Answer:

[tex]48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9[/tex]

Answer:

Is there a question?

Step-by-step explanation:

The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).

This is the definition.

Answer:

$27.60

Step-by-step explanation:

Step 1: Find 5 over 8 of 24

[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.

[tex]\frac{5}{8} \times 24[/tex]

Or

[tex]\frac{5}{8} \times \frac{24}{1}[/tex]

Cross divide 8 and 24

[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]

So we are left with

[tex]5\times 3[/tex]

Remember, "1" doesn't change anything.

Simplify

[tex]5\times 3 = 15[/tex]

Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.

Step 2: Add the tax to the cost of the glazed doughnuts.

[tex]\$0.84[/tex]

To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.

[tex]15\times \:0.84=12.60[/tex]

Now, add the result to the total.

[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Answer:

141

Step-by-step explanation:

First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.

Let x = number of hamburgers.

Let y = number of cheeseburgers.

Now we use the given information to write two equations using the variables we defined above.

"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"

x + y = 423

"the number of cheeseburgers sold was two

times the number of hamburgers sold"

y = 2x

We have a system of two equations.

x + y = 423

y = 2x

Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.

x + y = 423

x + 2x = 423

3x = 423

x = 141

Since we let x = number of hamburgers, we have the answer.

Answer: 141

Answer:

The answer is $88.90

Step-by-step explanation:

$253.99÷.35=88.896. Rounding up the 6 makes the 89 to 90.

Answer:

hi

Step-by-step explanation:

the answer is A

Answer:

D

Step-by-step explanation:

It is a positive gradient therefore the answers cannot be negative. Since it is an increase of 4 dollars it is option D.