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Q: Find the average rate of change of the function f(x) yx from x, 81 to x,-144 The average rate of cha...

A: We are given,

Q: #27 Bill drives 120 miles from his house in San Diego to Los Angels for a business meeting. Afterwar...

A: Let the average driving speed be x miles /hour , then we calculate the time taken in both the trips,...

Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3<= x <= 2 and x>2. Combining t...

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

Q: Graph the solution to the following system of inequalities. <+4x3y−12 ≥+−5x3y−9 Then give the coo...

A: To solve the given system of inequalities graphically

Q: Use the tables to evaluate: a) (Ug)(-1) b) (f o g)00) e) g-0) 7) x-1 0 1 2 g(x) 2 10 1 x-1 0 1 2

A: Calculation:a)Compute the value of (fg)(-1) as follows.(fg)(-1) = f(-1) × g(-1) ...

Q: Use the graph of y - f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fx...

A: Click to see the answer

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

Q: using the values a=4, b=2 and c=5, find the value of each of these expressions. a) 4a+2b b) 2a=b ove...

A: Click to see the answer

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: Find the coordinates of the vertex of the quadratic function: y=x2+3

A: The quadratic equation is given by,

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2

A: The given functions are f(x) = (x-1)2 +3 and f(x) = x2.Sketch the graph of the functions f(x) = (x-1...

Q: 125=(5u+8)2

A: Consider the given equation

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying the composition of the two func...

Q: Solve the following equation for B u=8B B ? X

A: Given information:The given expression is

Q: Graph the following function by making a table of coordinates. If applicable, use a graphing utility...

A: Given information:The given function is

Q: Population: In a city of 72,000 people, there are 27,000 people under 25 years of age. What percent...

A: Given:The population of people who are under thge age of 25 is 27,000 out of 72,000.

Q: Please help

A: This is how a normal distribution graph looks. Here given that mean=100 and standard deviation=14

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: -3<0 so we will use f(x)=2x+5 to find f(-3)Answer(a): f(-3) =-1

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as

Q: Let g (x) = 12− x 2 , then answer the following questions: Identify the parent function:f (x) = Desc...

A: The parent function can be identified by removing the constants and coefficients from the given func...

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Calculation:If the multiplicity is odd the graph will cross the x-axis at that zero. That is, it wil...

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a singl...

A: We first use the exponent rule of logarithm. Coefficients become exponents.

Q: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator.

Q: Find an equation of the circle whose diameter has endpoints (-3,6) and (-3,3)

A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...

Q: In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this ha...

A: It is given that the percentage of Residents who get news by reading newspaper is 51%.It is also giv...

Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

Q: Evaluate the expression without using a calculator. log 2 log2- Enter your answer in the answer box....

A: We first use exponent rule of logarithm. The exponent becomes coefficient.

Q: Sketch the graph of f (x) = 3^x +1

A: The given function is,

Q: Consider the function fx)= -3x +18x-8. Determine, without graphing, whether the function has a minim...

A: The function -3x2+18x-8.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: we are given system of equations as

Q: O SYSTEMS OF LINEAR EQUATIONS Solving a word problem using a system of linear equations of. A store ...

A: Let the cost for each pound of trail is $x.Let the cost for each pound of trail is $y.For 9 pounds o...

Q: Let A = [1 -1 -1 -1 1 -1 -1 -1 1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

Q: 11. Simplify the following completely. Write your answer without using negative exponents. (Note: To...

A: Here, we use the above rules of exponents

Q: How do you solve the polynomial inequality x4 + 36 ≤ 13x2

A: The given polynomial inequality is x^4+36≤-13x^2.

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: Divide. (-6x+8x-3) (x-1) 2 (x-6x +8x-3) (x-1)-L x- 1 (Simplify your answers. Do not factor.) Enter y...

A: The given expression is

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, ...

A: Consider the provided function.

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

Q: -18 = -3/4 y solve for y

A: To calculate the value of y from the provided equation -18=(-3/4)y. Now, first resolve the fraction...

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as

Q: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I f...

A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of t...

Q: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: what is 2-5

A: In this question we have to explain what the value is of 2 - 5