Find the roots of a quadratic equation. Factor a polynomial by grouping. Question 18: Find the solutions of (x−4)(x−4)=0.
Question 19: Factor 4x3+24x+x2+6 by grouping.
Determine which of the given linear systems is consistent: x+2y=5,2x+y=4 or 3x+3y=9,2x+2y=5 or x+y=3,2x+2y=4 or x+y=1,3x+3y=8 or x+y=5,2x+2y=6 or none.
Write an equation where the variable n represents the number of cookies. The equation should express that twice the number of cookies minus four is equal to six.
Solve the system of linear equations and find the solution set. Round to nearest hundredth.
{2y+7x=113y=−16x+10
A. Infinite solutions
B. (−1.18,9.64)
C. (−0.25,4.64)
D. No solution
Find the expression that correctly describes a swimmer diving 300 feet, swimming up 150 feet, and then swimming down 50 feet. The correct expression is −300+150+(−50).
Jill's mom bought a generator that holds 6.6 gallons of gas and consumes 0.75 gallons/hour. Write a linear function h(x)=mx+b to model the remaining gas after x hours.
What is the probability that a randomly chosen student from a class of 21 plays basketball or baseball, given that 10 play basketball, 8 play baseball, and 6 play both?
Find the zeros of the polynomial f(x)=x3+6x2−4x−24 and determine the multiplicity of each zero. Indicate whether the graph crosses or touches the x-axis at each zero.
Find the percentage of right-handed boys in Canadian secondary schools. Given: 71 of right-handed boys are left-handed, and 11% of boys are left-handed.
Pam climbs out of a hovering helicopter and slides down a rope at 8 ft/s. Is the height function g(x) linear or exponential? g(x)=−8x+90 or g(x)=90(8)x?