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If a = −3, b = 4 and c = −5, then by how much is the product abc greater than the sum a + b + c?
The expression −4,9t^2+50t+2 represents the height, in metres, of a toy rocket t seconds after launch. The initial height of the rocket, in metres, is
[1] 0
[2] 2
[3] 4.9
[4] 50
Wendy bought H one-and-half litres of ice cream tubs for R89,99 each and P packages of ice cream cones for R33,89 each. She bought 28 items and spent R1 846,52. Which system of equations could be used to determine how many of each item Wendy bought? [1] 89,99h+33,89p=1846,52 and h+p=28 [2] 89,99p+33,89h=1846,52 and p+h=28 [3] 89,99h+33,89p=28 and h+p=1846,52 [4] 89,99p+33,89h=28 and p+h=1846,52
A student enrolled for a MAE201M module says that she can calculate the module’s Final Mark, by using an algebraic model. If xrepresents the examination mark and yrepresents the year mark, then the Final Mark is modelled by:
[1] 0.8x+0.2y
[2] 0.16x+0.2y
[3] 0.8x+0.4y
[4] 0.2x+0.8y
When solving the equation 9x^2−2x=3−4(x^2−2x^2+1), Mosoeu wrote 9x^2−2x=3−4x^2+8x−4 as his first step. Which property justifies this step? [1] subtraction property of equality [2] multiplication property of equality [3] associative property of multiplication [4] distributive property of multiplication over subtraction
A recent college graduate is weighing two job offers in the sales industry. Company #1 will pay $35,000 per year with 5% commission while company #2 has offered $40,000 with 4% commission. How much would the salesman need to sell in order for him to make more money working for company #1?
f(x)=-2(x-1)^3(x+2)^2
If a= [4,3]
[2,5] 2×2 matrix.
Find x and y such that A²-xA + y I = 0
A pencil cost x peso each. If the total cost of 15 pencils is 120 pesos, how much does each pencil cost?
A new car is purchased for 17900 dollars. The value of the car depreciates at 13% per year. What will the value of the car be, to the nearest cent, after 7 years?
