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Write a linear equation to fit each situation.
1) A medical laboratory charges $30 for a consultation and an additional $10 per test. (Let t = the # of test, f(t) = the total fee.)
2) A 150 kg man goes on a diet and loses 1.4 kg/week. Relate weight to the number of weeks on the diet. (Identify variables as in #1.)
3) 2 hours into a trip by car is 600 miles from its desitnation, Chicago. The car travels at an average speed of 50 mph. (Let t = time in hours, d(t) = distance from Chicago) d(t)=600-50t
Find the LCM
Exhibit the vertex and y-intercept for the quadratic expression y = x^2 - 4. How many zeros does this expression have? Exhibit those ordered pairs which constitute these zeros.
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify the expression. How do the laws work with rational exponents?
Line passes through the point (5,1) and has a slope of 2 write an equation for this line. Find the equation for the line 1,-5 and -4,3
Find the conditional probability.
Suppose K is a Galois extension of Q whose degree is a power of 2, and such that K is included in R (the reals). Show that the elements of K can be constructed by ruler and compass.
Solve the logarithmic equation.
suppose that youre drawing two balls without replacement from an urn that contains 11 green balls 7 blue balls1 red
Calculating the function values
explain the general relationship between linear algebra and
Find which numbers are solutions to the given equality.
find the coordinates of the vertices of the figure formed by each system of inequalities.ygt -92x y lt 3ylt 3x
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