Suppose we have the logarithmic function f(x)= 3log2(x+5)-1. a.) Simplify: 7/f(27) b.) What's the domain of f? c.) Solve the following equation: f(2x)= -4

Q: Factor f(x) into linear factors given that k is a zero of f(x).  f(x) = 2x3 - 3x2 - 5x + 6; k =1

A:

Q: solve the equation 4x3+9x2+2x=0

A: Given equation can be expressed as

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A: The time needed to complete one payroll 30 minutes

Q: how to simplify (8/728)^2/3

A: Reduce 8/728 by 8. 

Q: Use any method to solve the nonlinear system. (Order your answers from smallest to largest x, then f...

A: Given:

Q: Find and equation for inverse function: f(x) = log(x − 11) + 8

A: Given the function,

Q: Divide and simplify: y^2 - 3 y - 18 / y +5 divide y + 3 / y^2 - 25

A: The given expression is

Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs. 

Q: Practice question 7.3

A: a) The slope of AB is evaluated and the slope intercept form is obtained as follows.

Q: Simplify a rational expression  x2(x-8) / x(x-8)

A: The given expression is,

Q: (-3, -4) Question 3 of 5 Add. 5 + Зу3 бу 3v Simplify your answer as much as possible

A: Given,

Q: Nine ounces of an insecticide are mixed with 15 gal of water to make a spray for spraying an orange ...

A:

Q: Which logarithm is equal to xlog4?

A: To express the given expression into complete logarithmic form.Given that xLog4

Q: Complete the table using the quadratic pattern if the point (3,6) is the vertex of the parabola.

A: a) Given that (3, 6) is the vertex of the parabola. The equation of the parabola with vertex at (h, ...

Q: Graph the solution set of each system if inequalities.   X is greater than or = 0 X+Y is less than o...

A: For the inequalities we make auxiliary equations. x=0 , x+y=4, 2x+y=5

Q: Hi, what is the fastest iterative method for solving linear systems by hand? e.g. please see attache...

A: Given:what is the fastest iterative method for solving linear systems by hand?For example:

Q: The length of a rectangular garden is 6 meters more than the width of the garden. If there are of th...

A: Let x meters be the width of the garden.Therefore the length of the graden is (x + 6) meters, becaus...

Q: Give the domain of the following rational function using (a) set-builder notation and (b) interval n...

A: Given function is

Q: Practice Question 2.3

A: The given function is,

Q: y=2x2+x-3 is the graph opening up or down? what is the vertex? x-intercepts? y-intercepts?

A: Given the function

Q: mary runs 9 miles in 54 minutes. how many minutes does she take per mile?

A:

Q: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at...

A: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at...

Q: using sbstitution 1/4 x+ 1/4 y =0 x-y=-4

A: The given two equations are as follows.1/4 x+ 1/4 y = 0                               …… (1)x–y = –4...

Q: An investment of ​$140,000 was made by a business club. The investment was split into three parts an...

A: Given thatAn investment of ​$140,000 for one year and this investment is split into three parts The ...

Q: Graph the parabola   y=(x-3)2  +4

A: Given, the parabola equationy=(x-3)2  +4The entire parabola translates 3 units to the right and 4 un...

Q: F(x) = -3x2 +6x -1   does the function have a min or max value?

A: Simplify F(x) by squaring the right hand side 

Q: Find the Domain of f(y)  3y / y-8

A: The given function is,

Q: Write the rational expression in lowest terms 2a-3 / 2 (2a-3 divided by 2)

A:

Q: Solve: x2-3x-70=0

A: Given:

Q: Solve the system of nonlinear equations using elimination. 2x2 + 3y2  =  4 2x2 − 3y2  =  25x ...

A:

Q: How do you solve? (48x2y-2/8x-4y3)2

A: Given,

Q: A desk is on sale for $551, which is 24% less than the regular price.  What is the regular price?

A: We have given, a desk is on sale for $551, which is 24% less than the regular price.Then the percent...

Q: Find |?|, |?|, |2?|, 1/2v, |u+v|, |?| − |?|. ? = 4i + j,    ? = 2i − 3j   |1/2v| =  |u+v|= |u-v|=...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: I am unable to figure out the last two parts of the questions

A:

Q: a magnificaton is scaled so that 3.5" on it equals .1" in actuality. So a measurement on it of 3/16"...

A: Given:

Q: the sum of two numbers is 7 and the difference of their squares is 21. Find the numbers.

A: Let the first number be ‘x’ and second number be ‘y’.

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst e...

A: Given:Analyst earns 384 dollars for working 8 hours.

Q: Given the function f(x)=0.2(x−2)(x+1)(x−5), determine the end behavior of the function

A: Given the function,

Q: Give the domain of the following rational function using (a) set-builder notation and (b) interval n...

A: The given rational function is,

Q: 4w2 -324=

A:

Q: Write the equation of the ellipse that has its center at the origin and A focus at (0, 4); vertex at...

A: Given:

Q: Given three noncollinear​ points, there is one and only one circle that passes through them. Knowing...

A: The general form of circle equation is given by

Q: what is the standard form of -4x=-3y+3

A: Given linear equation is  – 4x = –3y + 3

Q: Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessa...

A: It is needed to calculate the complex zeroes of the given polynomial function.

Q: A car with good tire tread can stop in less distance than a car with poor tread. The formula for the...

A: Given:The formula for the stopping distance d, in feet, of a car is d = 0.04v2 + 0.5v, where v is th...

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip. Eac...

A: Let he should rent x buses and y vans So total students that can be transported= 80x+10yThere are at...

Q: multiply the rational expression  8u2v / 3u+v multiplied by u+v / 12u

A: The given expression is

Q: 15. How do you answer part (a) and (d)?

A: Given thatA sample of 500 g of radioactive lead-210 decay to polonium-210 according the function as

Q: Two​ joggers, one averaging 7 mph and one averaging 5 ​mph, start from a designated initial point. T...

A: Calculation:Time = Distance / Speed

Q: Factor the polynomial  36a2-84at+49t2

A: Consider the given expression.