Answer:
is the answer
given the function .
Step-by-step explanation:
is the given function.
I'm going to do some examples of plugging in because that is what this problem is asking you to do.
Example 1: What is f(2)?
f(2) means we are going to replace x with 2 in the thing we called f:
Example 2: What is f(-2)?
f(-2) means we are going to replace x with -2 in the thing we called f. Before we do this I just wanted to tell you something here about negative numbers or expressions. When plugging in either of these, use ( ) around the number you are plugging in. So I should re-say my first line here.
f(-2) means we are going to replace x with (-2) in the thing we called f:
.
Example 3: What is f(cat+tuna)?
f(cat+tuna) means we are going to replace x with (cat+tuna) in the thing we called f:
To expand the top, we are going to use this formula for squaring a sum:
.
Ok let's move on to the true problem:
f(x+h) means to replace x with (x+h) in the thing we called f:
This is really the same problem we had above except without the cat and the tuna but with x and h respectively instead.
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)
m = = = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 1), then
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation in slope- intercept form
Answer: A, x = square root of 60.
Step-by-step explanation:
Use the Pythagorean Theorem, a^2 + b^2 = c^2.
8^2 = 2^2 + x^2
x^2 = 8^2 - 2^2
x^2 = 64 - 4
x^2 = 60
x = sqrt of 60
I'm pretty sure the answer is -3
Answer:
p = -63
Step-by-step explanation:
10 - 2/3p = 52
-2/3p = 52 - 10
-2/3p = 42
p = 42/-2/3
p = -126/2
p = -63