olve each of the following equations for r. Determine the exact value for r and a decimal approximation correct to pur decimals places. 1. 8" – 15 = 0 (Solving this equation will locate the r-intercept on the graph of y = 8 – 15.) 2. log(x + 6) = log(3r – 2) + 2 (Solving this equation will determine the r-coordinate of the point of intersection of the functions y = log(x + 6) and y = log(3r – 2) + 2.) = 2000 (1+ 2045 (Solving this equation will determine the amount of time it takes an investment $2000 to grow to $4400 if interest is 4.5% compounded monthly.) 3. 4400

Q: solve the system of equations   x  +  y  -z  =7 3x-  2y - z  =2 x   +3y- 2z =14

A:

Q: Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of ...

A: The parent function is: g(x)=2x f(x)=-g(x+3)+4 This means g(x) moved 3 units left, reflected over th...

Q: Which of the following sets are equal to the set of natural numbers: A) EVEN NUMBERS B) WHOLE NUMBER...

A:

Q: 3- х Given that f(x) find each of the following: %3D 4+x f(-4) b. f(-3) a.

A:

Q: To qualify for the championship, a runner must complete the race in at most 55 minutes.Use t to repr...

A:

Q: Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the...

A:

Q: What is the area of a rectangle measuring 12 feet by 9 feet in square yards?  sq yd

A: It is given that the length and width of the rectangle is 12 feet and 9 feet, respectively. Note tha...

Q: 3.

A:

Q: Graph the equation and identify the y-intercept. y=3/2x+6

A:

Q: determine whether each pair of lines is parallel, perpendicular, or neither. 1. y=3/6x+3   Y=1/2x-10...

A:

Q: Find the midpoint of the line segment shown below. 6 4- 3 -6 -5 -3 -2 i 2 3 4 $ 6 -2 -3- -5

A:

Q: Using i to rewrite square roots of negative numbers

A:

Q: (4+8y)3

A: Evaluate,

Q: Solve the following equation. Round to2 decimal places. 5ex + 2 – 8 = 14

A:

Q: f(x) = 2x - 4, g(x) = 6x - 2 Find (fg)(x).

A:

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/...

A:

Q: Write an augmented matrix for the following system of equations. 8x-3y+3z=-5 4x-2y+7z=9 6y-5z--1

A:

Q: Monthly, Juan's net earnings are $8,000, and expenses are $7,500. If Juan saves the difference, how ...

A: Monthly details:  Juan's net earnings =  $8,000    Juan's net expenses = $7,500 difference = $8,000 ...

Q: If told that matrix A is a singular Matrix find the possible value(s) for x A = (12 2x)        (2x 3...

A:

Q: For each systems of equations below, choose the best method for solving and solve. Show your work. a...

A: a). We solve this system by substitution method: Put equation (2) in equation (1), we get Hence th...

Q: The 7th term of an arithmetic sequence is −44, and the common difference is −2. Find the first term....

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Write the polynomial

A:

Q: 11 samples of different sweets are on display as customers leave a store, theyare told that they can...

A:

Q: 107. Investment Choice Determine the best investment:compounding continuously at 6.0% or compounding...

A:

Q: How to solve using remainder theorem?

A: The given terms are in the form of polynomial as Use synthetic division to find the remainder So, ...

Q: Algebra Question

A:

Q: Use the inner product represented by = u¡V¡ +2 uv; + uzV3 in the following questions, where u= (1, ...

A: Given: The inner product  <u, v> =u1v1+2u2v2+u3v3, u=(1, -2, 2) and v=(0, -2, 3) are the vecto...

Q: solve 9 and 10

A:

Q: The Walkers are saving up to go on a family vacation in 10 years.  They invest $205,000 into an acco...

A: (a)   Given that the family vacation time (t) = 10 years   Invested money (P) = $ 20, 5000   Annual ...

Q: Condense the expression to the logarithm of a single quantity. 6 ln(2) − 5 ln(z − 4)

A: Use the exponent property first  

Q: Use the crossing-graphs method to solve the given equation. (Round your answer to two decimal places...

A: To use the crossing -graphs method to solve the given equation.  

Q: A dietician wishes a patient to a meal that has 74 grams of protein, 91.5g of carbohydartes, and 430...

A:  

Q: A chemist has 30% and 60% solutions of acid available. How many liters of each solution should be mi...

A: Let the quantity of 30% and 60% solutions of acid be 'x' and 'y' respectively According to question:...

Q: You invest $4500 in an account at interest rate r, compounded continuously. Find the time required f...

A: Investment is $4500 Interest Rate is r Compounded Continuously. r = 0.0275

Q: Solve the exponential equation by using the property that bx=by implies x = y for b > 0 and b not...

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many r years? mg Give yo...

A:  

Q: A standard 8x8 red-black checkerboard contains 204 squares of various sizes.  How many such squares ...

A:

Q: In the following example, an everyday activity is described. Keeping in mind that an inverse operati...

A: Inverse operation: If you undo the operation to get the same thing or condition or state that you ha...

Q: 44.

A:

Q: Data about recent federal defense spending are given in the accompanying Statistical Abstract of the...

A: Average yearly rate of change in defence spending from 1990 to 1995 is,                         The...

Q: Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The ...

A: Given data:     The first color from which two faces are painted: red. The second color from which t...

Q: Determine the area of the region bounded by y= x^2 +2 and y= sinx where x = 1 and x = 2

A: Given: Equation of curves:

Q: What is the LCM of the denominator 2x-1 / 5x(2x+1) ?

A: Consider the given expression.  

Q: Given f(x) = 3x2 + 4 and g(x) = –3x, calculate f(g(x)). f(g(x))=

A: Given function are We find f(g(x)) by replacing x by g(x) in f(x) as shown below.

Q: Solve the logarithmic equation for x. (Enter your answers as comma-separated lists.) (c)    6ln(4 − ...

A:

Q: Use the Vertical Line Test In the following exercises, determine whether each graph is the graph of ...

A: The vertical line test can be used to determine whether a graph represents a function or not. If we ...

Q: Please see attached

A: easiest way to plot the linear graph :

Q: An investment of $82,200 earns 3.3% annual interest, compounded continuously. If no funds are added ...

A:

Q: 15

A: Explanation: Suppose that,  Number of chairs treated as input (x) and cost as the function of x. Giv...

Q: Need help answering this math problem!

A: The farmer has 246 feet of fencing. He wants to enclose the maximal area.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.