Answer:
A. 54°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
y + y + 72 = 180
2y + 72 - 72 = 180 - 72
2y = 108
(2y)/2 = 108/2
y = 54
Suppose stamp cost a, then
7a = 1.12
1.12 ÷ 7 = a
a = 0.16
So, each stamp costs 0.16.
• The slope of the tangent line at the point is
dy
dx
x=2 = 2x
x=2 = 4 =
4
1 =
rise /run .
• A vector parallel to the tangent line is v = [1,4]
• A vector parallel to the tangent line is v = [1,4].
Two unit vectors parallel to the tangent line are
u =
v /|v| =
[1,4]/ √
1+16 =
h
√ -1/ <span>√ </span>17 , 4 /<span>√ </span>17 i
and
I'm going to assume the second comma is supposed to be a period.
101,601.01 - 41,514.19 = 60,086.8
0.01 rounds down to 0.0, and 0.19 rounds up to 0.2, since a decimal that's 5 or above means you round up.
Answer:
<h2>
(f + g)(x)≥3 for all values of x</h2>
Step-by-step explanation:
Given the expressions f(x) = |x| + 9 and g(x) = –6, sine f(x) contains the absolute value of a variable x, this absolute value can be negative and positive. Therefore f(x) can be expressed in two forms as shown;
f(x) = x+9 and f(x) = -x+9
If f(x) = x+ 9 and g(x) = -6
(f + g)(x) = f(x)+ g(x)
(f + g)(x) = x+9+(-6)
(f + g)(x) = x+9-6
(f + g)(x) = x+3
Similarly, if f(x) = -x+ 9 and g(x) = -6
(f + g)(x) = f(x)+ g(x)
(f + g)(x) = -x+9+(-6)
(f + g)(x) = -x+9-6
(f + g)(x) = -x+3
(f + g)(x) = 3-x
In both expresson, we have bith x to be positive and negative, hence we can write the value of resulting x as an absolute value as shown;
(f + g)(x) = |x|+3
This shows that (f + g)(x)≥3 for all values of x