Sets + equation - practice problems
Number of problems found: 41
- Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6 - X intercept
Given: 3y+2x=-6 Calculate the X-intercept. - Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9) - -x-3/3 4027
x + 6/6 -x-3/3 = 3/4 - Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Infinitely 3489
The solution to the equation 3x = 8x is a / no real number b / x = 8/3 c / x = 3/8 d / x = 0 e / infinitely many solutions - Ten pupils
Ten pupils came to the art group. Eight pupils painted with watercolors and nine painted with ink, each painted with ink or watercolors. How many pupils painted water and ink at the same time? - Count of roots
How many solutions have equation x. y = 7757 with two unknowns on the set of natural numbers? - Intersections 80587
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes. - The average
The average of one set of 4 numbers is 35. The average of another set of numbers is 20. The average of the numbers in the two sets is 30. How many numbers are there in the other set? - Please
Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Intersection 81611
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis) - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Twenty-six 6320
There are 32 students in the class. Twenty-six of them are learning English, 15 are learning German, and four are learning only Russian. How many students are learning English and German? - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - A shopkeeper 5
A shopkeeper sold some sets of Pencils and Pens. Each set contained 6 pencils and 2 pens. If the shopkeeper sold 112 pencils and pens, how many pens did she sell altogether?
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