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Algebra

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Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: In which set(s) of numbers would you find the number√80* irrational number*whole number*rational num...

A: Natural numbers is the set of counting numbers i.e. 1, 2, 3,…So √80 is not present in this set. Whol...

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

A: g(x)=f(x)-2 means the graph will move 2 units down.

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

A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...

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: A jet travels 4576 mi against a jetstream in 8 hours and 5696 mi with the jetstream in the same amo...

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed...

Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

Q: 35) Complete the table below to create an odd function f. x 60 246 3 -12 f(x)

A: Given:The function is an odd function.That is, f(-x) = -(f(x)).

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 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: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4. ...

A: The function is given by,

Q: Determine the domain of the function f (x) = 1 − x.

A: The domain of f(x)=1-x is the possible values of x.

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: Find all the zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Si...

A: Given information:The given polynomial function is

Q: O RATIONAL EXPRESSIONS Paul Interpreting direct variation from a graph Español Latoya is riding her ...

A: Latoya is riding her bike. The number of revolutions (turns) her wheels make varies directly with th...

Q: Graph. (If there is no solution, enter NO SOLUTION.){x | x > −2} ∪ {x | x < 1}

A: {x | x > −2}

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

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

A: (a)Consider the given function:

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

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

Q: Solve and graph the solution on a number line

A: To solve and graph the solution of the provided inequality 9+2y≤4y+5. No, first solve the inequality...

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: 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: A woman earned wages of $40,400, received $2000 in interest from a savings account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

Q: how do i find the domain of this rational function f(x)=2x/(2x+7)

A: We are given function as

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: 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: 7) In a triangle, the measure of the first angle is twice the measure of the second angle. The measu...

A: Click to see the answer

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: Find the domain of each of the functions below. s(y) = 3y/ y +5

A: In this question possible values of y are domain. Denominator can't be equal to 0 in a function.

Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.7 meg...

A: Given that a Web music store offers two versions of a popular song. The size of the standard versio...

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

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: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of ch...

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: K

A: Given,

Q: Find the inverse function of the following: h=f(t)=96t-16t^2

A: It is given that the function h = f(t) = 96t – 16t2.Obtain the inverse of f(t) = 96t – 16t2 as follo...

Q: solve the compound inequality 4u+4<8 or 3u-4>-22 write the solution in interval notation If th...

A: Refer to the question of a compound inequality 4u+4<8 or 3u-4>-22.First, find the solution set...

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

Q: Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary ang...

A: To calculate the value of two supplement angle. If the sum of two supplementary angle is 180o. In th...

Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

Q: The graph of a quadratic function is given. Match the equation with its graph. fx)-(X + 4)2-1 ) (X-4...

A: (a)We can find vertex of first function

Q: what is the square root of 291

A: The square root of 291 is,

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

A: The given system of equation is,

Q: what is 2-5

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

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.