Express the area A of a right triangle as a function of the height h if the base of the triangle is twice its height. Area A of a right triangle is

Q: cruising altitude of 40,000 ft, a certain airplane travels 549 mph Write a function representing…

A: Given query is to find the function for the distance after x hours.

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +5 if x < 0 f(x)…

A: (a) f(-3) as you can see from the equation for x&lt;0  f( x ) = 5x+5 f(-3) = 5(-3)+5         = -15+5…

Q: Find the value f(a+h) for the function f(x)=9

A: Here is given function is f(x)=9 Here is f(x) is constant function

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Express the function in the form f • g o h. F(0) = Vsin3 0

A: We have to express given function in the form f•g•h

Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A: From a 27 cm by 27 cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: The volume V of a right circular cylinder of height h and radius r is V = πr 2 h. If the height is…

A: Given: The volume of a right circular cylinder is, V=πr2h . Here, h is the height of the cylinder…

Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A:

Q: Determine the domain of the function. f(x) = xl/4

A: fx=x14

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases…

Q: From a 6-cm by 6-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Express the function in the form f°g. H(x)= / 4 + /x %3D

A:

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: ■ Find a formula for the described function and state its domain Express the area of an equilateral…

A:

Q: A rectangular building lot is three times as long as it is wide. Find a function that models its…

A: A rectangular building lot is three times as long as it is wide. Let w be the width of the…

Q: The value of Mr. Dulaney's car x years after its purchase is given by the function V(x) = 15,…

A: The value of Mr. Dulaney's car x years after its purchase is given by the function:…

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: Find the domain and range of the function h(x) = 2/(x + 1)

A:

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

A:

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +3 if x<0 f(x)…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given, Cardboard of size 12 cm  by 12 cm in which square corner of sides x cm is cut out. We have to…

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be…

Q: From a 9-cm by 9-cm piece of cardboard, square comers are cut out so that the sides can be folded up…

A:

Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

A:

Q: Express h(x) as a composition of two functions:    h(x) = ∛( x2 + 1).

A: Given: h(x)=x2+13 To find: The composition of two function. That is h(x)=f(x)∘g(x)

Q: pressure

A:

Q: Suppose that V(x) represents the number of violent crimes committed in year x and P(x) represents…

A: Given  V(x) represents the number of violent crimes committed in year x  P(x) represents the number…

Q: Evaluate the piecewise function at the given values of the independent variable. 5x + 3 if x 0 (a)…

A:

Q: Express the function in the form f ∘ g ∘ h.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A:

Q: is the function odd, even, or neither?

A:

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  &lt;fx,fy&gt; Finding…

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: A square card board is of 18cm by 18cm side of a card board is 18cm find the volume of the box

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A: Given: Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: Use this information to answer parts a and b. - express N as a function of t.

A:

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: The length side of the box is 12-x-x =12-2x cm So the area of the box is (12-2x)2 cm2 Here height of…

Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: X+200p=10,000  X&gt;0 P&gt;0 express the revenue (price times units sold), R, as a function of p. R=

A: Given that

Q: Find the following functions

A: Given: fx=5x-1 and gx=5x2-1 To find: a) f∘gx=?b) g∘fx=?c) f∘g1=?d) g∘f1=?

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Evaluate the piecewise function at the givern values of the independent variable 5x+3 if x<0 f(X) =…

A:

Q: The figure shows a page with 1-inch margins at the top and the bottom and half-inch side margins. A…

A: Let the length and width of the printed page be y and x, respectively. Given printed area of page is…

Q: The average weight, W, in pounds of an adult is a function, W=f(c), of the average number of…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given:  From a 12‐cm by 12‐cm piece of cardboard, square corners are cut out so that the sides can…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.