A local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was 3x where x is the number of hamburgers sold. Find x.
Find the maximum area of a rectangle formed by bending a 68cm wire. Write a formula connecting the area A and the length x, then sketch the graph of A against x to find the maximum area.
Find the range and intervals where the quadratic function f(x)=x2−2x−3 is increasing and decreasing. Range: [−4,∞)
Increasing: (−∞,21+13)
Decreasing: (21+13,∞)
Hottie Inc. has standard and actual costs for direct materials, direct labor, and overhead. Calculate the direct materials price variance. Direct Materials=138,000 pounds at $3.75/poundStandard Direct Materials=15 pounds $4/pound Direct Materials Price Variance = 34,500 Unfavorable
Part-time job at supermarket pays $13.50 per hour, 19 hours per week. Employer withholds 10% federal, 7.65% FICA, 3% state taxes. Calculate weekly gross pay, federal and FICA taxes withheld.
Rewrite the first problem statement:
Find the intervals where C=305x+840 and R=25x break even, i.e., C=R. Rewrite the second problem statement:
Find the intervals where C=20x+550 and R=45x break even, i.e., C=R. Rewrite the third problem statement:
Solve the quadratic inequality x2−2x≤2 and express the solution set in interval notation.
Determine the number of solutions for the given equations and inequalities. For equations with one or two solutions, state the solutions.
1) 5+2(x−4)=2x+3
2) 5+2(x−4)<2x+3
3) (5x−3)/4=(2−4x)/3
Solve the addition and subtraction problems using mental math strategies. Match each problem to the correct answer.
650+7,763+350=8,88313,323−10,099=3,2246,253+2,630=8,88310,000−6,992=3,008