Use a graphing utility to find the vertex of the function. Round your answer to two decimal places.
?


A. vertex:
B. vertex: origin
C. vertex:
D. vertex:
E. vertex:


Answer: A

Mathematics

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The  base of a ramp sits on the ground. Its slope is 0.4 feet per foot. It extends to the top of the front steps of a building 20 horizontal feet away. ? A: How high is the ramp 1 horizontal foot toward the building from the base of the ramp? ? B:  How high is the top of the steps relative to the ground?

What will be an ideal response?

Mathematics

Express the vector in the form v = v = v1i + v2j + v3k.7u - 2v if u =  and v = 

A. v = 1i + 7j  - 2k B. v = 1i + 9j  - 2k C. v = 13i + 7j  - 2k D. v = 7i + 7j  - 2k

Mathematics

Write negations for each of the following statements:

(a) For all integers n, if n is prime then n is odd. (b) ? real numbers x, if x < 1 then 1/x > 1. (c) For all integers a and b, if a2 divides b2 then a divides b. (d) ? real numbers x, if x(x ? 2) > 0 then x > 2 or x < 0. (e) ? real numbers x, if x(x ? 2) ? 0 then 0 ? x ? 2. (f) For all real numbers x and y with x < y, there exists an integer n such that x ? n ? y.

Mathematics

Find the axis of symmetry of the given function.g(x) = 2x2 - 20x + 51

A. x = -1 B. x = -5 C. x = 1 D. x = 5

Mathematics