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2 years ago

Need help will give brainlist

Mathematics

1 answer:

allsm [11]2 years ago

5 0

Answer:

3rd option

Step-by-step explanation:

- 1 ( $\frac{3x}{2y}$ )

- 1 is multiplying the complere fraction , not just 1 part of it , so

= - $\frac{3x}{2y}$

You might be interested in

Given f(x)=4/5x + 13, find the inverse f-¹(x) Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)

Elodia [21]

f-¹(x) = 69/5y
f-¹(x) = 13 + 4y/(y + 10)

<h3>How to determine the inverse </h3>

The steps involved in determining the inverse of a function are;

Replace f(x) with y in the equation describing the function
Interchange x and y
Solve for y
Replace y by f-1(x)

If f(x) = 4/5x + 13

y = 4/5y + 13

y = 4 + 65 /5y

f^-1 = 4 + 65 /5y

f^-1(x)= 69/5y

If f(x)= 3/x+10 + 4

y = 3/y + 10 + 4

y = 3 + 4y + 10/(y + 10)

y = 13 + 4y/(y + 10)

f^-1(x) = 13 + 4y/(y + 10)

Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)

Learn more about functions here:

brainly.com/question/6561461

#SPJ1

5 0

2 years ago

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

Step 3: Find Particular Solution

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in C [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

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

Unit: Integration

Book: College Calculus 10e

4 0

3 years ago

Help please Brainiest answer to whoever is first

Degger [83]

Should be 1204.75? use this answer to check your work!

My work:
14 times 18 (since there’s two triangles) = 252
36 times 28 = 1008
6.5 times 8.5 = 55.25

(1008 + 252) - 55.25 = 1204.75

6 0

3 years ago

Complete the proof for the following conjecture.

Ray Of Light [21]

Answer:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Step-by-step explanation:

By segment addition postulate, we can say the following two equations:

AC+CD=AD and AB+BD=AD.

By either substitution/transitive property, you can say AC+CD=AB+BD.

You are given AC=BD, so we use substitution and write AC+CD=AB+AC.

After using subtraction property (subtracting both sides by AC), you obtain CD=AB.

By symmetric property, you may say AB=CD.

So let's write it into the 2 column-proof you have there:

Statements Reasons

AC+CD=AD and AB+BD=AD Segment Addition Postulate

AC+CD=AB+BD Transitive/Substitution Property

AC=BD Given

BD+CD=AB+BD Substitution Property

CD=AB Subtraction Property

AB=CD Symmetric Property

Properties/Postulates used:

Transitive property which says:

If a=b and b=c, then a=c.

Substitution property which says:

If a=b, then b can be substituted(replaced with) for a.

Subtraction property which says:

a=b implies a-c=b-c.

Segment Addition Postulate says:

If you break a segment into two smaller pieces then the measurement of that segment is equal to the sum of the smaller two segments' measurements.

3 0

3 years ago

A number n is negative

Alborosie

Answer:

-n

Step-by-step explanation:

4 0

3 years ago

Need help will give brainlist​

Need help will give brainlist