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3 years ago

1. The sum of two numbers is 81. The difference is 13. Find the two numbers.

Mathematics

2 answers:

bezimeni [28]3 years ago

7 0

Answer:

47 and 34

Step-by-step explanation:

x+x-13=81

2x-13=81

2x=94

x=47

y=34

34+47=81

Zepler [3.9K]3 years ago

3 0

47 and 34 are the answers thank you

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Solve the system of equations -3x-5y=-16 and 4x+6y=16

Ann [662]

Answer:

x=-56 y=80

Step-by-step explanation:

solved with delta way

7 0

2 years ago

Please help with this AP Calculus question !

melomori [17]

Answer:

C. $\displaystyle \frac{cos(x)}{x} - ln(x)sin(x)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Trig Derivatives

Logarithmic Derivatives

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = ln(x)cos(x)$

Step 2: Differentiate

Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[ln(x)]cos(x) + ln(x)\frac{d}{dx}[cos(x)]$
Logarithmic Derivative: $\displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)\frac{d}{dx}[cos(x)]$
Trig Derivative: $\displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)[-sin(x)]$
Simplify: $\displaystyle f'(x) = \frac{cos(x)}{x} - ln(x)sin(x)$

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

Unit: Differentiation

Book: College Calculus 10e

7 0

3 years ago

Can someone help me please? I forgot how to do this

tensa zangetsu [6.8K]

Answer:

90°-33°=57°

57=2x+1

-1. -1

56=2x divide both sides by 2

28=x

x =28

8 0

3 years ago

Read 2 more answers

Suppose that an object moves along the y-axis so that its location is y=x2+3x at time x. (Here y is in meters and x is in second

vfiekz [6]

Answer:

a) 13 m/s

b) (15 + h) m/s

c) 15 m/s

Step-by-step explanation:

if the location is

y=x²+3*x

then the average velocity from 3 to 7 is

Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s

then the average velocity from x=6 to to x=6+h

Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s

the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then

when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s

then v= 15 m/s

also can be found taking the derivative of y in x=6

v=dy/dx=2*x+3

for x=6

v=dy/dx=2*6+3 = 12+3=15 m/s

7 0

3 years ago

Think about the function f(x) = 10 - x3. What is the input, or independent variable? f(x) x y

denpristay [2]

Answer:

The input or independent variable is x.

Step-by-step explanation:

3 0

2 years ago