Rationalize the denominator and state answer in simplest radical form:

Q: At 6am the temperature in tempest Ohio was 31 degrees Fahrenheit. By 4 pm the temperature had risen…

A:

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

A:

Q: 1. These are the events that cannot happen at the same time. a. mutually exclusive b. non mutually…

A:

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A:

Q: Let ē = (1,0), ē2 = (0,1), đ1 = (-2, –7) and ã2 = (6, –8). Let T : R? → R² be a linear…

A: We will use the basic properties of linear transformation to solve this question.

Q: Evaluate the function at the given expression. f(x)=x2−3x f(x−1)=

A:

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

A:

Q: Help. Full question

A: As per the guidelines we can solve 3 parts only.

Q: A radioactive element has a half-life of 136 yea What is its continuous rate of decay? Number %…

A: Decay constant =ln 2t12t12 =136 yearsDecay constant =ln 2136                            =0.51%

Q: Samantha is having lunch at a sandwich shop. She can choose white bread or pumpernickel bread. Her…

A: Two types of bread white bread and pumpernickel bread.

Q: erfect pizza has 15 toppings listed on their menu. How many ways could a customer choose pizza that…

A:

Q: _1&tdisplayNarie=Lessori…

A:

Q: The fox population in a certain region has a continuous growth rate of 9 percent per year. It is…

A:

Q: A one-to-one function is given. Write an equation for the inverse function. n (x) =3x² – 8

A:

Q: Which of the following expressions an equivalent to 3x + 12x? Circle ALL that apply. A. х(3 + 12) В.…

A: Solution: Here 3x+12x            -(1)

Q: (a+bVp|a, bEQ; Pa prime). 0. a) Consider the subset SCR' defined by S - Show that (S,+, ·) is a…

A:

Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Q3 Solve the system of the linear equation below by the Gauss elimination method. -2x2 + 8x3 = 51a…

A:

Q: 8. Kira solved the following radical equation using the steps shown. V8-2x = x-4 (V8-2x)2 = (x-4)2…

A:

Q: 4log 3 - log 33 =

A: Given query is to find the value of the expression.

Q: Graph the exponential function. f(x) = 2* Plot five points on the graph of the function. Then click…

A:

Q: QUESTION 4 Find AxB (Matrix Multiplication). 2 1 -2 A = 3 -1 4 -1 2 1 B = -2 4 %3D -3 7 -6 3 -1 -2 O…

A:

Q: y = -

A:

Q: A store that installs cordless telephones finds that if it installs x telephones per week, its total…

A:

Q: Find t for the following terminal points, 0 < t < 27 (a) P(0, 1), t = V2 v2 t (b) P %3D 2 (c) P( –…

A:

Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

Q: Find g C4

A: Here we have to find the value of 9C4.

Q: Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

A: the range of a function is defined for y for which  y=f-1(x) Here f(x)=(x+1)/(2x-3) y=f-1(x) =&gt;…

Q: The accompanying table shows the value of a car over time that was purchased for 16300 dollars,…

A:

Q: 1) There are 8 essay questions in an exam. Students are required to answer only 2 of them. In how…

A: No. Of ways = 8C2  = 8!/(2! 6!)  = 8x7/2  = 4x7  = 28

Q: Consider the following initial value problem (1- t)y + sin y with y(-1) = 0.5 We want to find y(2)…

A:

Q: 2x + 15 x+15 80 5. To find the length of LE and OV in the given figure, which of the following…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 18х3 - Зх -36

A: Given query is to find the factors of the quadratic.

Q: Factor Compleely Hthe pynomialis nut fuclorabe, write prime. 1.15a b-10ab

A: We can factorize the polynomial as below.

Q: Solve the following equations using inverse of the coefficient matrix: -x + 2y - 3z = 4 x - 4y +…

A:

Q: Find the length of the curve y=x between x = 0 and x= 6. The length of the curve y =x? between x= 0…

A: We have to find the length of curve.

Q: An exponential function f(x) = a · bª passes through the points (0, 7) and (3, 189). What are the…

A: We can find the value of a by substituting x=0  in the given function.Also by substituting x= 3 in…

Q: (au1, 2). respectivel Let V = {(r,y)|r,y E R}, with addition and scalar multiplication defined as u…

A: Here, V=(x,y)|x,y∈ℝ with addition and scalar multiplication are defined as…

Q: Four different linear functions are represented below. Function 1 Function 2 10 y -2 15 6- - 1 10 10…

A: Let's find.

Q: R В Match each equation with a graph above. - 2-7 a. green (G) Y = 20 b. blue (B) y = - 20 C. orange…

A:

Q: 2. Let f(x) = 5x - 6 and g(x) = 7x + 3. %3D a. Find f(g(x)). b. Find g(f(x)).

A:

Q: The compound interest formula is given by A = P(1+) nt where A is the accumulated amount, after an…

A: topic - compound interest

Q: Find Taylor series of function f(x) = In(x) at a = 2. %3D 00 (f(x) = c,(x – 2)") n=0 Co = In2 C1 =…

A:

Q: Tell whether if the given sets are Finite, Infinite, Empty, Singleton, Equal, Equivalent, or…

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…

Q: Find a basis for the subspace of R3 spanned by S. S = {(5, 9, 9), (1, 2, 2), (1, 1, 1)}

A: To find the basis for the subspace of R3 spanned by the given set of vectors S.

Q: Use the quadratic formula to solve the equation 9x2+24x+23=0.

A: Solving the problem by finding the value of x

Q: Find all solutions to the equation below V-x - 2= x + 2

A: Given  -x-2 =x+2   We will square both sides and make this a quadratic equation. Squaring both sides…

Q: Sketch the graph of the piecewise defined function. if x 1

A: The given function,  f(x)=xif x&lt;-1x2if -1≤x≤1-xif x&gt;1

Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: The cost, in dollars, to produce x vats of ice cream is C(x) = 6x + 1. When selling them to ice…

A: