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1. Write the equation in slope intercept form
y + 2 = - 6(x-1)
2. Determine the equation of each line. Write the answer in slope intercept form.
The line through (4,0) that is perpendicular to the line x + y = 3
3. Time on a treadmill. After 2 minutes on a treadmill, Jenny has a heart rate of 82. After 3 minutes she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate (h) in terms of time on the treadmill ( t ). Find the equation and use it to predict her heart rate after 10 minutes on the treadmill.
4. If you earned an average of $25,000 over your working life and you retire after 2005 at age 62,63, or 64, then your annual social security benefit will be 7000, 7500, or 8000, respectively. There is a linear equation that gives the annual benefit (b) in terms of age (a) for these three years. Find the equation.
How do we determine if two lines are parallel, perpendicular, or intersecting? First of all, you know that two lines are parallel if they never touch, so if they are parallel, then they are neither perpendicular nor intersecting.
Write the equation of a line that intersects the negative x-axis and the positive y-axis at points not equidistant from the origin (0, 0). Draw the line. Draw the line that is the reflection of your line across the line y=x.
Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.
Consider the map Φ : (Z, +) →(Zn, + (mod n)) given by Φ(t) ≡ t (mod n). State the first isomorphism theorem and apply it to the map Φ
a car leaves a town 20 minutes after a truck leaves. the speed of the car is 10 miles per hour greater than the truck.
Calculate the height and width of rectangular gate.
Discuss two cost options that are being considered. Explain the reasoning process used to translate the written description of each cost option into algebraic equations.
axyx2xy3 bx2x-yx2y-2x-y3 yyx1for a i get the critical points are00 and-215 415. then i get det002 and det-215 415-10 so
Find the LCM.
A utility company has the following rate schedule for natural gas usage in a city's business district. Graph the following function using transformations. Be sure to graph all of the stages on one graph all of the stages on one graph.
Solving problems using venn diagram.
The hose is not to go below the elevation of the deck at y0=7 ft. I would like someone to calculate the necessary length of hose via catenary formula showing all steps with comments.
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