Topic
Q:
b) \( (a+\sqrt{b})^{2} \)
Q:
A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from
drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking
for 4 hours?
Q:
The graphs defined as \( g(x)=a x^{2}+q \) and \( f(x)=k^{x}-14 \) both pass
through \( (-2 ; 0) \) on the \( x \)-axis. The \( y \)-intercept of \( g \) is \( (0 ;-5) \).
4.1.1 Write down the equation of the asymptote of \( f \).
4.1.2 Write down the value of \( q \).
1.3 Write down the coordinates of the other \( x \)-intercept of \( g \).
1.4 Determine the equation of \( g \).
1.5 Determine the equation of \( f \).
Q:
Given: \( f(x)=2\left(x^{2}-1\right) \)
Sketch function \( f \) on the diagram sheet.
Clearly show all intercepts with the axes.
Q:
A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of
elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow
46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a
degree. Show answer
Q:
a. \( 2 y-3 x=6 \)
Q:
Suppose that a particle moves along a straight line with velocity \( v(t)=12-1 t \), where \( 0 \leq t \leq 2 \) (in
meters per second). Find the formula for the displacement of the particle and the total distance it has
traveled at time \( t=2 \) seconds.
Displacement at time \( t \) is:
Q:
Write an equation of the line with the given slope and \( y \)-intercept.
\[ \text { Slope }-7, y \text {-intercept }(0,1) \]
Q:
Suppose that a particle moves along a straight line with velocity \( v(t)=12-1 t \), where \( 0 \leq t \leq 2 \) (in
meters per second). Find the formula for the displacement of the particle and the total distance it has
traveled at time \( t=2 \) seconds.
Displacement at time \( t \) is:
Total distance traveled:
Q:
What is \( 6 z-2 y-8 z+5 y-4+z \) written in simplest form?
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