Answer:
f(x) =g(x) only when x = 0, or x = 1, when x = 3, they are not equal.
Step-by-step explanation:
They aren't equal because:
f(3) = 2(3) + 1
6 + 1 = 7
g(3) = 2(3)2 + 1
2x9 + 1
18 + 1 = 19
they are not equal at 3.
hope this helps
Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r =
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x =
+ at
y =
+ bt
z =
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Answer:
60 miles
Step-by-step explanation:
In 1 week Zach will run
6* 5 = 30 miles
Multiply this by 2 for 2 weeks
30*2 = 60 miles