For f(x) = -4x + 2, find f(x) when x = -1
1 answer:
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Answer:
(x, y) = (40, 30)
Step-by-step explanation:
A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.
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An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:
y = 110 -2x . . . . . . subtract 2x from both sides
Using this in the first equation gives ...
3x -4(110 -2x) = 0 . . . . substitute for y
11x = 440 . . . . . . . . . simplify, add 440
x = 40 . . . . . . . . . . divide by 11
y = 110 -2(40) = 30
The solution is (x, y) = (40, 30).
Answer:
1.30 hours
Step-by-step explanation:
Put the given number in the formula and do the arithmetic. The value of "d" is given as 7, so you are evaluating the expression ...
duration = 0.07×7^(3/2) . . . . put 7 where "d" is in the expression
= 0.07×18.520 . . . . . . . . . . . . evaluate 7^(3/2)
= 1.2964 . . . . . . . . . . . . . . . . . do the multiplication
≈ 1.30 . . . . rounded to hundredth
The duration of a storm 7 miles in diameter is predicted to be 1.30 hours.
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With a suitable calculator, this can all be done at once.
