Answer:
Percent means the number out of 100
use the formula ( Value you got / Original value) X 100
for percentage increase or decrease = (Change in value / original value) X 100
Step-by-step explanation:
Equation for slope=1/3 and y-intercept=-1 is:
y = mx + b
where m is slope and b is y-intercept.
So, equation becomes
y = -1x + 1/3
Now put different values of x in the equation to get corresponding value of y.
x y
0 1/3
1 -2/3
2 -5/3
3 -8/3
-1 4/3
-2 7/3
-3 10/3
Answer:
Fraction of the original board left =
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off of a wooden board.
Length of the board left = l -
= feet
He saws off of the remaining board,
Board left =
=
= feet
He finally saws off rd of the remaining board.
Board left =
=
= feet
Fraction of the original board left =
=
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ