Answer:
The range of this function is {-13, -1, 15}.
Step-by-step explanation:
Evaluate f(x) = 4x - 1 at {-3, 0, 4}:
f(-3) = -13
f(0) = -1
f(4) = 15
The range of this function is {-13, -1, 15}.
Answer:
a ≈ 8.9
Step-by-step explanation:
Set up the equation as so:
8a^2 + 2 = 634
First, subtract two from both sides:
8a^2 = 632
Then, divide by 8 to further isolate the variable.
a^2 = 79
To get rid of the squared, you have to take the square root of both sides. The square root of 79 is roughly 8.9. Ergo, a ≈ 8.9
Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
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<em>Additional comment</em>
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.
Answer:
What are the statements to choose from? Send me a message with the choices.
Step-by-step explanation:
6x-2y=14
+2y +2y
6x=14+2y
Answer:
1 + 5(77 - s) = 31
Step-by-step explanation:
Solve for s:
Put the value of <em>s</em> to the expression 1 + 5(77 -s):
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
