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Q: At the movie theatre, child admission is $5.70 and adult admission is $9.70 . On Wednesday, four tim...

A: Let x be the number of adult tickets and y be the number of child tickets be sold.

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: Find the space in a phone storage after downloads a game..

Q: #9 Directions: Write the equation of the line in S.I. and S.F.

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...

Q: This Question: 1 pt th 25 of 30 (4 complete) Find f(g(x)) and g(fx)) and determine whether the pair ...

A: Given,

Q: #58

A: Given,

Q: Determine the domain of the function f (x) = x − 2x + 8

A: The given function is f(x) =x–2x+8.

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: The given functions are,

Q: Algebra Question

A: Refer to the question for the given function f(x) = 4x2+12x-40 and g(x) = x + 5. we need to calculat...

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: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4were disqualifi...

A: Given that, there were 230 racers started the marathon.So, 100% is 230.Here 14 gave up and 4 were di...

Q: (5y-2)2+6=22

A: Given information:The given equation is (5y-2)^2+6=22

Q: a. Rewrite the equation 5x + y +4 0 in slope-intercept form. b. Give the slope and y-intercept. c. U...

A: a. The given equation is 5x + y + 4 = 0. The slope intercept form of the linear equation is y = mx +...

Q: If a given line has a slope zero, then what is the slope of the line that is perpendicular to it?

A: If the slope of a line is m, then the slope of the perpendicular line to it is -1/m.

Q: Given the function f(x) vx-7, (a) Find f (b) Graph f andf in the same rectangular coordinate system....

A: (a)It is given that the function f(x) = √(x – 7).Obtain the inverse of the function as follows.Subst...

Q: Multiply. Use the distributive property. -2(2a-4b)

A: The given expression is –2(2a–4b).

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

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

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: 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: K

A: Given,

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: The given functions are

Q: Suppose that you earned a bachelor’s degree and now you’re teaching high school. The school district...

A: To calculate (a) The amount which is saved at the end of 5 years. (b) The amount of interest. If the...

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.2 meg...

A: It is given that the size of the standard version is 2.2 MB and the size of the high quality version...

Q: #34

A: (33)Consider the given equation: Ax+By=CTo solve for y, follow the steps:Step 1: subtract Ax from ea...

Q: The US and China together produce 5.9 million tons of e-waste each year. About 0.7 million more tons...

A: Given information:The US and China together produce 5.9 million tons of e-waste each year. About 0.7...

Q: Evaluate the following expression without using a calculator. log 93 log g3=(Type an integer or a fr...

A: Given expression is,

Q: On a reality television show, an officer traveling in a police cruiser at mph pursues Jennifer who h...

A: Hello there! You seem to have uploaded an incomplete question. In order to solve this question, we n...

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Ay 6 Use the graphs of f and g to find (f+g)(2) f+g)/2) 12 6-5-4 -32 12 345 6 fx) -6 Enter your anSw...

A: Observe from the figure and find the value of the functions f and g at the point 2.

Q: #25 The speed of a plane in still air is 280 mph. Flying against the wind, it can fly 600 mi in the ...

A: Le the speed of wind is x miles/hour. The speed of the plane in still air is 280 mph\'. Then speed ...

Q: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown...

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is...

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

Q: Use the graph of the function ffor the following 2) a) Find the domain and range of the function b) ...

A: Domain of function f(x) is the set of all values of x for which the function is defined and Range is...

Q: Find an equation of the circle whose diameter has endpoints (-5, -6) and (1, -6). ? X

A: Center is the mid point of (-5,-6) and (1,-6). Center =(-2,-6)

Q: For f(x) 1-x and g(x)= 2x +x+6, find the following functions a. (f o g)(x): b. (gof)(x); c. (fo g)2)...

A: Answer: (a): -2x^2-x-5

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: #1

A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=2

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.

A: The expression is given by,

Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...

A: Given exponential equation is,

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: The unknowns in the given system are the quantities of water and cleaner.

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...