Answer:
Step-by-step explanation:
<u>Set a ratio:</u>
- 7/8 hours ⇒ 2/5 chapters
- 1 hour ⇒ x chapters
<u>Find the value of x by cross-multiplication:</u>
- x = 1 × 2/5 ÷ 7/8
- x = 2/5 × 8/7
- x = 16/35
A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.
The equation would be y=3x-6.5
I think this is right.
9514 1404 393
Answer:
x = 43
Step-by-step explanation:
When the lines are parallel, consecutive exterior angles at a transversal are supplementary.
93° +(x +44)° = 180°
x = 180 -93 -44 = 43 . . . . . divide by °, subtract 93, subtract 44
The value of x that makes the lines parallel is 43.
Answer:
Local minimum at x = 0.
Step-by-step explanation:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
Answer:
5
Step-by-step explanation:
The constant term is the one with no variables in it: +5.