y = x + 2
y = -3x
Do y = -3x in y = x + 2
y = x + 2
-3x = x + 2
-3x - x = 2
-4x = 2
x = -2/4
x = -1/2
Now put x = -1/2 in y = -3x
y = -3x
y = -3.(-1/2)
y = 3/2
Y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16
M = (1,4)
N = (5,2)
For M, you simply move to 1 on the x axis abs for 4 you move on the y axis. Same does for N, for 5 you move on the x axis and for 2 you move on the y axis.
Answer:
The single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Step-by-step explanation:
Let 'x' be the number
As first the number has to be increased by 18%
so
Step 1: write the percentage '18%' in decimal form
18% = 0.18
Step 2: For percentage increases: add the decimal to 1
1 + 0.18 = 1.18
Step 3: Multiply the number x by the multiplier, found in Step 2
x × 1.18 = 1.18x
<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>
Apply the same method but with a number 1.18x
- Write the percentage '12%' in decimal form
12% = 0.12
- For percentage decreases: subtract the decimal to 1
1 - 0.18 = 0.18
- Multiply the number 1.18x by the multiplier, found in Previous step
1.18x × 0.18 = 0.21x
Therefore, the single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
If f(x) = (6x-11), then f(-6) = -47.
We are provided in the question statement with a function "f(x)" whose output is a polynomial of 1 variable and degree 1.
To obtain the value of f(-6) from the output polynomial of the function f(x), we will simply need to substitute (-6) as the value of x in the polynomial and calculate the final value.
So,
![f(-6)=[(6*(-6))-11]\\or, f(-6)=(-36-11)\\or, f(-6)=-(36+11)\\or, f(-6) =-47](https://tex.z-dn.net/?f=f%28-6%29%3D%5B%286%2A%28-6%29%29-11%5D%5C%5Cor%2C%20f%28-6%29%3D%28-36-11%29%5C%5Cor%2C%20f%28-6%29%3D-%2836%2B11%29%5C%5Cor%2C%20f%28-6%29%20%3D-47)
Hence, f(-6) = -47.
- Polynomial: In mathematics, an expression of more than two algebraic terms, especially the sum of several terms that contain the same variable(s) of different powers and individual, distinct co-efficients.
- Function: In Mathematics, a function is an operator which on taking input, provides a certain output.
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