1.
Find the specified domain and express it in interval notation. For f(x)=x2- 64and g(x)=2x+3, what is the domain of (g/f)(x)?
2. In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by b=40-0.4twhere t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value. Question 34 options:
a) | -0.4; The average consumption of beef in this town is decreasing by0.4pounds per person per year. | |
b) | 40; The average consumption of beef in this town is increasing by40pounds per person per year. | |
c) | 40; The average consumption of beef in this town is decreasing by40pounds per person per year. | |
d) | -0.4; The average consumption of beef in this town is increasing by0.4pounds per person per year. | |
3.
A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell3862gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses gallons sold as a function of price.
a) | G(p)=-19,160p+30,664.2 | |
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c) | G(p)=-19,160p+30,669.8 | |
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4. Write the equation of the line with the given conditions. passing through (-1,-7) and perpendicular to the line with equation4x+ 5y=31
5.
ind the slope of the line (if it exists) and the y-intercept (if it exists). 3x- 4y=-4
a) | Slope 3/4, y-intercept (0,1) | |
b) | Slope-1, y-intercept (0,1) | |
c) | Slope- 3/4, y-intercept (0,-1) | |
d) | Slope1, y-intercept (0,-1) | |
6. Find the slope of the line through the pair of points. (8,-6) and (-5,-6)