18 + (-8) + 11
Adding a negative number is the same as subtracting a positive number. So "18-8" is the same thing as "18+ -8".
18 - 8 + 11
10 + 11
21
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
Answer:
the quotient of four times x plus six and two minus two times x plus fourteen
Step-by-step explanation:
Hope this helps!
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
Answer:
f(y) = 12 + 4x
Step-by-step explanation:
Output is 12 more than 4 timea the input
The dependent variable = y
The dependent variable = x
The input is the independent variable, x
Output is the dependent variable, y
Output = 12 + (4 * input)
Hence, the function rule can be written has :
f(y) = 12 + 4x
