Answer: and
Step-by-step explanation:
First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":
(1)
Then, we are told "he sum of the two numbers is 18":
(2)
At this point we have our system of equations and now we are able to find the values of and .
So, let's begin by isolating from (2):
(3)
Substituting (3) in (1):
(4)
Finding :
(5) This is the value of
Substituting (5) in (1):
(6)
Finding :
(7)
(8) This is the value of
Those answers are correct.
First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
9514 1404 393
Answer:
- f(x²) = x² +5
- (f(x))² = x² +10x +25
Step-by-step explanation:
Put the argument in place of x and evaluate the desired expression.
__
1. f(x²) = x² + 5 . . . . . . straight substitution for x
__
2. (f(x))² = (x +5)²
= (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25
(f(x))² = x² +10x +25
Answer:
x=2
Step-by-step explanation:
9x+9=25+x
9x-x=25-9
8x=16
x=2