A tennis ball is thrown upward from the ground and its height, h, is given by the equation h=22t – t^2. Some kids are sitting on the roof of a building that stands 21 feet tall. If the kids are sitting in such a position that they cannot see the ball until it reaches the height of the roof, for how many seconds of the tennis ball’s flight can the kids see the ball? A- 18 B-20 C-21 D-22

Basically, the question is: how many seconds is h greater than 21? (This tennis ball is being thrown on a planet other than Earth, by the way. I challenge anyone to throw a tennis ball that stays in the air anywhere near as long as this one does.) To figure it out, solve for the (more…)

In a scale drawing of a rectangular living room floor, the width of the floor is 2 inches and the length is 4 inches. If the width of the actual living room floor is W feet, which of the following function A could represent the area, in square feet, of the actual living room floor? a) A(W)=(Wsquared)/8 B) 2(Wsquared)

If the actual width is W, then the actual length must be 2W. We know this because in the scale drawing, the length is twice as many inches as the width. The area of the living room floor, therefore will be length times width: from Tumblr https://ift.tt/2mHw9y7

The figure above shows the graph of the function f(x)=ax +b, where a and b are constants. What is the slope of the graph of the function g(x)=-2f(x)

Note that f(x) is a line in slope-intercept form, where a is the slope and b is the intercept. Once you recognize that, you just need to know that, notationally, the –2 in front of f(x) means you multiply the whole thing by –2. So: That’s still a line, but now the slope is –2a. from Tumblr (more…)

The figure above shows the graph of the function f(x)=ax +b, where a and b are constants. What is the slope of the graph of the function g(x)=-2f(x)

Note that f(x) is a line in slope-intercept form, where a is the slope and b is the intercept. Once you recognize that, you just need to know that, notationally, the –2 in front of f(x) means you multiply the whole thing by –2. So: That’s still a line, but now the slope is –2a. from Tumblr (more…)

In a scale drawing of a rectangular living room floor, the width of the floor is 2 inches and the length is 4 inches. If the width of the actual living room floor is W feet, which of the following function A could represent the area, in square feet, of the actual living room floor? a) A(W)=(Wsquared)/8 B) 2(Wsquared)

If the actual width is W, then the actual length must be 2W. We know this because in the scale drawing, the length is twice as many inches as the width. The area of the living room floor, therefore will be length times width: from Tumblr https://ift.tt/2NEsjBw

A supply room clerk at an office orders more bundles of paper on Monday if the supply is 50 bundles or less. This Monday, the supply of papers is 325 bundles. The office uses an average of 15 bundles per week. At this rate, in how many weeks will the supply will the supply room clerk order more paper on Monday?

Say x is the number of weeks from this Monday. That means that at the start of the 18th week, they’ll still be OK, but by the end of the 18th week they should have less than 15 bundles. They will order new paper on the Monday of the 19th week. from Tumblr https://ift.tt/2ulT5qd