Answer:
Step-by-step explanation:
b. subtraction
c. multiplication
d. addition
Answer:
Option (a) is correct.
The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.
Step-by-step explanation:
Given: The function and
We have to find the operation from the given options that results in the smallest coefficient on the x term .
Consider the given function and
b) Subtraction
That is f(x) - g(x)
Apply plus - minus rule -(-a) = a , we have,
Here, The coefficient of x is 1.
c) Multiplication
That is
Simplify, we have,
Here, The coefficient of x is -5.
d) Addition
That is f(x) + g(x)
Simplify, we have,
Here, The coefficient of x is -5.
a) two operations result in the same coefficient.
When we add or multiply the two given function, we obtain the same coefficient of x that is -5
Hence, The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.
Answer:
a. two operations result in the same coefficient
Step-by-step explanation:
Here, the given functions,
f(x) = -2x - 1,
g(x) = -3x + 4,
Subtracting,
Case 1 : f(x) - g(x)
-2x - 1 + 3x - 4 = x - 5
Case 2 : g(x) - f(x)
3x - 4 + 2x + 1 = 5x - 3
Coefficient of x = 1 or 5
Multiplication :
f(x)* g(x) = (-2x - 1) (-3x + 4) = 6x² - 8x + 3x - 4 = 6x² - 5x - 4
Coefficient of x = -5
Addition :
f(x) + g(x) = -2x - 1 - 3x + 4 = -5x + 3
Coefficient of x = -5
Thus, the least coefficient of x = -5
And, two operation ( multiplication and addition ) operations result in the same coefficient
OPTION a is correct.
Answer: y=-2x+8
Step-by-step explanation:
To find the slope of the line, you would use . With the 2 points we are given , we can plug it into this equation to find the slope.
Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.
The final equation we get is y=-2x+8.
Answer:
y= -2×+8
Step-by-step explanation:
find m(slope)
y2-y1 over x2-x1
substitute using (0,8) and (4,0)
m=-2
y=mx+b
substitute x and y to find b using either (0,8) or (4,0)
0=-2(4) + b
0= -8 +b
0+8= -8+8 +b
8=b
y=-2x+8