MATHEMATICS HIGH SCHOOL

If a man can run p miles in x minutes, how long will it take him to run q miles at the samerate?

Answers

Answer 1

Answer: d = p*x = q*t => t = (p*x)/q;

Answer 2

Answer:

Answer: it wouk take him x minutes because it said at the SAME rate.

Step-by-step explanation:

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Find 10.5 in plus 7.35 in and use the correct number of significant digits in the sum

Answers

I don't really understand what is your question saying but the answer is 17.85, the work is the following:

10.50
+ 07.35
________
17.85

Use inverse operation to solve 116=4n

Answers

Just divide by 4 on both sides to isolate n, that gets you 29.

Answer: 29

Step-by-step explanation:

116=4n

(Divid both sides by 4)

29=n

How Do I Find The Domain & Range Of
y=2x-4 ?

Answers

Both the domain and range of the function is in range -

( - ∞ , + ∞ )

We have the following function -

y = f(x) = 2x - 4

We have to identify its Domain and Range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

Consider the equation given -

y = 2x - 4

If we compare it with the general equation of line -

y = mx + c

We get -

m = 2 and c = - 4

Now this graph of the equation y = mx + c represents a straight line.

Hence, both the domain and range of the function are-

( - ∞ , + ∞ )

To solve more questions on Domain and Range, visit the link below -

brainly.com/question/20207421

#SPJ2

The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

Chef Rita is cooking for a Sunday brunch. she knows that 22 pancakes can feed 8 people. She is wondering how many people she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes

Answers

Answer:

20 people

Step-by-step explanation:

22 pancakes = 8 people

55 pancakes = x people

=> Cross-multiply

=> 22 * x = 55 * 8

=> 22x = 440

=> 22x/22 = 440/22

=> x = 20

So, 55 pancakes can feed 20 people.

Function form
5x-7y=14

Answers

function form is when you put x in, you get y so the correct equaiton should be y=so and so

so

5x-7y=14
subtrac 5x form both ssides
-7y=14-5x
divide both sides by 7
-y=2-5/7x
multiply by -1
y=5/7x-2
that is it

Derivative of R=(100+50/lnx)

Answers

Answer:

$\displaystyle R' = (-50)/(x(\ln x)^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle (d)/(dx)[f(x) + g(x)] = (d)/(dx)[f(x)] + (d)/(dx)[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle (d)/(dx) [(f(x))/(g(x)) ]=(g(x)f'(x)-g'(x)f(x))/(g^2(x))$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle R = 100 + (50)/(\ln x)$

Step 2: Differentiate

Derivative Property [Addition/Subtraction]: $\displaystyle R' = (d)/(dx)[100] + (d)/(dx) \bigg[ (50)/(\ln x) \bigg]$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle R' = (d)/(dx)[100] + 50 (d)/(dx) \bigg[ (1)/(\ln x) \bigg]$
Basic Power Rule: $\displaystyle R' = 50 (d)/(dx) \bigg[ (1)/(\ln x) \bigg]$
Derivative Rule [Quotient Rule]: $\displaystyle R' = 50 \bigg(((1)' \ln x - (\ln x)')/((\ln x)^2) \bigg)$
Basic Power Rule: $\displaystyle R' = 50 \bigg( (-(\ln x)')/((\ln x)^2) \bigg)$
Logarithmic Differentiation: $\displaystyle R' = 50 \bigg( ((-1)/(x))/((\ln x)^2) \bigg)$
Simplify: $\displaystyle R' = (-50)/(x(\ln x)^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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Name the missing numbers from the function table and write the function rule.

Proportional constant