Answer:
slope: -1
Step-by-step explanation:
In slope-intercept form: y = mx + b, the slope is represented by the variable "m".
In other words, the slope is the coefficient of the variable x in a linear equation. Knowing this, the slope of y = -x would be the coefficient of x which is -1.
The 1 isn't shown because -1x is the same as -x, just like how 1x is the same as x.
The slope of y = -x is -1.
can somebody help me plz :(
Answer:3:1
Step-by-step explanation:
Total number of times he flipped the coin =32 times
Out of the 32 times, the outcome of tails is 8 times
The outcome of heads will be
Total times- Tails outcome
32-8
=24 times
Tails outcome= 8 times
Heads outcome= 24 times
Ratio of heads to tails is
Total heads outcome/total tails outcome
=24/8
=3/1
Therefore ratio of heads to tails is 3:1
1 to 3
Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.
Answer:
Option D is correct.i.e., f(x) = | x - 2 | + 1
Step-by-step explanation:
Function which satisfy the given data is our Ans.
So, we check for all functions.
Option A : f(x) = |x| + 1
put, x = -2
we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option B : f(x) = | x-2 |
put, x = -2
we get, f( -2 ) = | -2 - 2 | = | -4 | = 4 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option C : f(x) = | x-2 | - 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | - 1 = | -4 | - 1 = 4 - 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option D : f(x) = | x-2 | + 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | + 1 = | -4 | + 1 = 4 + 1 = 5
⇒f ( -2 ) is equal to given value of f ( -2 ).
put, x = 0
we get, f( 0 ) = | 0 - 2 | + 1 = | -2 | + 1 = 2 + 1 = 3
⇒f ( 0 ) is equal to given value of f ( 0 ).
put, x = 2
we get, f( 2 ) = | 2 - 2 | + 1 = | 0 | + 1 = 0 + 1 = 1
⇒f ( 2 ) is equal to given value of f ( 2 ).
put, x = 3
we get, f( 3 ) = | 3 - 2 | + 1 = | 1 | + 1 = 1 + 1 = 2
⇒f ( 3 ) is equal to given value of f ( 3 ).
put, x = 5
we get, f( 5 ) = | 5 - 2 | + 1 = | 3 | + 1 = 3 + 1 = 4
⇒f ( 5 ) is equal to given value of f ( 5 ).
Thus, This is function of given data.
Therefore, Option D is correct.