Complete the steps to simplify each expression. 1. log, 54 +log, 4 2. log: 128-log: 8 (128) log, (54.4) log₂ 8 log, 216 3. log, 3+log, 27

Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Sherri saves nickels and dimes in a coin purse for her daughter the total value of the coins in the…

A: We need to find out the number of dimes and number of nickels.

Q: - 3x² = x + 2

A:

Q: How many ways are there to place circles in an 8 x 8 grid so that each row has exactly one circle…

A: Note that when one row is filled one column is also filled. So, one position corresponds to one row…

Q: Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 First, using Y…

A:

Q: 4x+8 What is the product of 12x-40 A B (x + 2)(x-2) 6 (x-2) 6(x+2) 3x²-16x+20 6 KEPADA ?

A:

Q: Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

A:

Q: Find the standard matrix of the linear transformation. -131-1; -Y x + 2y 7x - 5y

A: As the linear transformation is from R2 to R3, the standard basis is (0, 1) and (1, 0) So, here…

Q: Rewrite the expression using rational exponents. 5x√ Y 5

A: (1)  V=5xy56we know ab=(a)1b

Q: A leaning telephone pole is guyed at 4.7m by two wires, as shown in the diagram. The wire lengths…

A:

Q: The slope of the line below is 543 5 3 21 -5 -4 -3 -2 -1 -1 -3- -4 5 2 3 4 5

A: As we know slope of line passing through two points x1,y1 and x2,y2⇒slope=y2-y1x2-x1

Q: No hand written solution and no img  When Natasha saves $13 more, she will have enough money to buy…

A: Given :   When Natasha saves $13 more, she will have enough money to buy a basic MP^(3) player

Q: Use the table of values to evaluate the expressions below. f(x) g(x) 5 1 9 T 0 1 496AWNL 2 3 5 7 8 9…

A:

Q: Solve the equation. 11x² = 2

A: 11x2=2x2=211

Q: 3 The function f(x) = x -2 is one-to-one. a. Find an equation for f1, the inverse function. b.…

A:

Q: Use the fact that every division problem can be rewritten as a multiplication problem with a factor…

A: Please see the below picture for detailed solution.  As per rule I need to solve only first…

Q: Write an equation for the graph given. The graph represents an exponential function f, with base 2…

A:

Q: 1 Let M be a 3×3 magic square with magic number s. (a) Prove that the sum of M's entries is 3s. (b)…

A: Let n denotes order of the matrix. Magic constant =nn2+12 Sum of numbers in each of the rows,…

Q: Suppose that the function fis defined as follows. 0 if -3 <x<-2 1 if-2<x<-1 2 if -1 < x≤0 3 if 0<x<…

A: The given function is:

Q: log 12a3 56²√√c =log+log a-log-2log- log c

A: We can solve this as follows:

Q: Evaluate the expressions. -2 2 3 0 0 = ||

A:

Q: The function h is defined by the following rule. A (x) = (+)* h Find h (x) for each x-value in the…

A:

Q: 16. Determine the periodic payment for the following deferred annuity. The annuity is an ordinary…

A: Formula used P = Si( 1 + i )n - 1where S = present value i =  interest rate n = time period

Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

A:

Q: how to set e-8x^7(-56x6) equal to zero

A: Solution ) e-8x^7 ( -56x6) = 0 Product of  these two = 0   either  e-8x^7 = 0 or ( -56x6) = 0 But…

Q: 2 +4 +6 +8 5+6+7 + 7 + 14 + 21+ . + 11 +105

A:

Q: Find the inverse of the function then make a hand sketch of both the original graph and it's…

A:

Q: Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to…

A: The solution is shown below-

Q: Given the following functions, find each of the values: f(x)=x²-3x+2 g(x) = x - 1 (f+g)(3) = (f -…

A: Given functionsf( x ) = x2 - 3x + 2 g( x ) = x - 1

Q: a) f(x) = 2x³-7x² + 5x +4 c) 2 cos 0 Зл h(0)=- - sine 2 4x g(x) = - 3x 3 b) g(x)= d) q(x)=2²*x + e*…

A:

Q: A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an- other…

A:

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 01 2 200 100 50

A:

Q: Solve the absolute value inequality. -38-x Select the correct answer below and, if necessary, fill…

A: Given inequality: -38-x&lt;-15 To solve the the given absolute value inequality, we first need to…

Q: If the equation x + ax + bx² + cx + d.= 0 has four real positive roots then (A) ac ≥ 16d (B) b² ≥…

A: We can use Vieta's formulas to relate the coefficients of the quartic equation to its roots. Vieta's…

Q: Let T: P₂ → P₂ be the mapping defined by T(ao + a₁x + a₂x²) = 3a₁ + a₁x + (αo + α₁)x². i. Show that…

A:

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A: To find the remainder when given polynomial is divided by x-1.

Q: Question 3 Let u, v be vectors in R³ with ||u|| = 1 = ||v||. If the angle between u and v is 60…

A:

Q: they won at a contest. Kayson spent of his Lian spent & of his cash prize. Kayson had I as much cash…

A: we will find the required.

Q: Rowan bought some vanilla and chocolate cupcakes in the ratio of 5:4. After Rowan’s classmates ate…

A:

Q: 67. Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

A: Given :Px=6x2-3x-7Dx=3x-1

Q: O FUNCTIONS Composition of two functions: Basic Suppose that the functions p and q are defined as…

A:

Q: calculate 32.5÷ 0.5 mentally.  Hint:  Think in terms of fractions or in terms of money.

A:

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth.…

A:

Q: Graphing a piecewise-defined function: Problem type 1 Suppose that the function g is defined as…

A: Given function,             -1 if -3.5&lt;x&lt;-2.5             0 if -2.5&lt;x&lt;-1.5h(x)=    1 if…

Q: here is a rectangular lot in the garden, with 8 ft in nd 4 ft in width. You plan to expand the lot…

A: We will find the required.

Q: Use the inverse of the coefficient matrix to solve the system of equations. x+2y+3z = 13 2x+3y + 2z…

A: We know that inverse of A=Adj(A)/det (A)

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A: Let two matrixs are  A=02-20-22 B=5-52-4

Q: e the expression v -9 and write the result in the form a + bi. a equals b equals

A: The solution is shown below-

Q: Examine the factor trees of 315 and 150 shown below. 315 A B 5 с What is the LCM of 315 and 150? 45…

A:

Q: A quadratic function has its vertex at the point (5,-2). The function passes through the point (2, -…

A: