Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
Answer:
Slope = -4
Step-by-step explanation:
Given points are :
(-1,30) and (4, 10)
We need to find the slope of the line that passes through these points.
We know that, the formula for the slope of line is given by :
We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10
Put values in the above formula.
So, the slope of the line is -4.
Answer: x = 
Step-by-step explanation:
= 
1/27 can be written in index form as 
The equation then becomes:
= 
Equating the coefficient
4x - 5 = -3 ( 2x + 10)
4x - 5 = -6x - 30
10x = -30 + 5
10x = -25
x = -25/10
x = -5/2
x = - 2.5
3x + 4y = 38 ( equation 1) ----> ×5
5x - 5y = -30 ( equation 2) ----> ×3
When you multiply eqn 1 by 5 you get, 15x + 20y = 190
And when you multiply eqn 2 by 3, you get, 15x - 15y = -90
Then you solve both equations by subtracting eqn 2 from eqn 1
15x + 20y = 190
15x - 15y = 90
Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280.
So that gives 35y = 280
y = 8
And when you replace y = 8 in any of the two equations, x = 2
