We have that
for x=1
f(x)=1.5 and g(x)=-1
so
g(x) < f(x)
for x=2
f(x)=5 and g(x)=5
so
g(x)= f(x)
for x=3
f(x)=9.5 and g(x)=23
so
g(x) > f(x)
therefore
the answer is
<span>After x=2 function g exceeds function f</span>
Answer:
y greater than or equal to 14
Step-by-step explanation:
Given the inequality:
We solve it by isolating the variable y on one side. That is, in our case we add 27 to both sides and get:
Answer:
B.
Step-by-step explanation:
A goes up by 1
C goes up by 8
D goes up by 5
But B increments by 2x (2 times)
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
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