Keisha received a total of 115 phone calls over 3 evenings. The 3rd evening had 3 times the 2nd evening's calls. The 1st evening had 5 fewer calls than the 2nd evening. Find the number of calls per evening.
Find the changes in x and y for the given line 9x+13y=−22. (a) If y decreases by 13 units, x increases by 2 units. (b) If x increases by 3 units, y decreases by 1 unit. (c) If x decreases by 6 units, y increases by 4 units. (d) If y increases by 9 units, x decreases by 1 unit.
Loren solves an equation with mistakes. Identify the errors in the step-by-step work: 2x+4(x−1)=3(−x+2), distribution, sign, combining terms, and division.
Find the value of 2−3x when x=7. The expression 2−3x is a polynomial. The term 3x contains a variable and a coefficient. The term 2 is a constant. Substitute x=7 to get 2−3(7)=2−21=−19.
Evaluate the linear function g(t)=3t+5 for various inputs. Create a table and graph the function.
a) Find g(0),g(3),g(1)−g(0),g(2)−g(1),g(1001)−g(1000),g(a+1)−g(a).
Solve the polynomial equation by factoring and then find the solution set. x3+8x2=40x+08. Select the correct choice: A. The solution set is ( ) or B. There is no solution.
1. Find f(−2) where f(x)=−2x2−4x. 2. Graph y=21(x−4)2+2 and convert to standard form. 3. Factor x2−8x+15 and 2x2+7x−15. 4. Solve 2x2+8x−15=0 using the quadratic formula. 5. Find the function, in factored form, for a parabola with x-intercepts of -5 and 7, passing through (6,33).
Rewrite the problem statement to find the intervals defined by the real solutions of x2−7x+10=0 on the number line. The points at 2 and 5 divide the number line into three intervals.