Put these numbers in descending order. 0.98 0.925 0.88 0.7

What is the slope of the line that passes through the points (9, 5) and (21, 1)?

AleksandrR [38]

Answer:

$\displaystyle m = \frac{-1}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (9, 5)

Point (21, 1)

Step 2: Solve for slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{1-5}{21-9}$
[Fraction] Subtract: $\displaystyle m = \frac{-4}{12}$
[Fraction] Simplify: $\displaystyle m = \frac{-1}{3}$

5 0

4 years ago

Patrick went cycling one weekend.

Margarita [4]

For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))

8 0

3 years ago

How do I rewrite that as a fraction

irina1246 [14]

Answer:

$\frac{1}{16}$

Step-by-step explanation:

When solving exponents with a negative exponent remember that it's not longer multiplication it's division and in order to divide you have to rewrite the exponent as a fraction and then solve the exponent.

$4^{-2}$

$=\frac{1}{4^2}=4\times4=16=\frac{1}{16}$

$=\frac{1}{16}$

Hope this helps.

6 0

3 years ago

Please help!

sweet [91]

Answer:

Part A: the a quadratic function that reflects the company's revenue.

R = (800+40x)(80-2x) = 64,000 + 1,600 x - 80 x²

Part B: The price should the company charge to maximize its revenue = $60

Step-by-step explanation:

company that sells 800 phones each week when it charges $80 per phone. It sells 40 more phones per week for each $2 decrease in price

Part A: Find the a quadratic function that reflects the company's revenue.

Let the number of weeks = x, and the revenue R(x)

So, the number of sold phones = 800 + 40x

And the cost of the one phone = 80 - 2x

∴ R = (800+40x)(80-2x)

∴ R = 64,000 + 1,600 x - 80 x²

Part B: What price should the company charge to maximize its revenue?

The equation of the revenue represent a parabola

R = 64,000 + 1,600 x - 80 x²

The maximum point of the parabola will be at the vertex

see the attached figure

As shown, the maximum will be at the point (10, 72000)

Which mean, after 10 weeks

The number of sold phones = 800 + 40*10 = 1,200 phones

The price of the phone = 80 - 2 * 10 = 80 - 20 = $60

So, the price should the company charge to maximize its revenue = $60

4 0

3 years ago

The cost of renting tuxes for the Choral Society's formal is $24 down, plus $89 per tux. Express the cost C as a function of x,

Phantasy [73]

A) The formula would be C = 89x + 24.

b) To find the cost of 2 tuxes, just plug in 2 for x and you get 202.

c) For the 4098th tux, plug in 4098 for x and you get $364,746.

d) The variable cost is the number of tuxes.
The fixed cost is the $24 down. The marginal cost is $89, the amount that it changes for each tux.

4 0

4 years ago

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