Answer:
x^2 + 5x - 104 = 0
Step-by-step explanation:
(x + 5)x = 104 Original equation
x^2 + 5x = 104 Distributive property
x^2 + 5x - 104 = 0 Subtract, make the right side equal to 0
Answer:
See below.
(I only answered the first one b/c the second log function doesn't really make sense, sorry!)
Step-by-step explanation:
1. f(x) = 5 ×
Plug in 5 points.
x = -2, f(x) =
x = -1, f(x) =
x = 0, f(x) = 5
x = 1, f(x) = 15
x = 2, f(x) = 45
2. Attached below.
3. Increasing
4. Domain: x = all real numbers
Range: f(x) > 0 (because the line never goes below the x-axis)
Answer:
A
Step-by-step explanation:
2x2.5x3= 15
2x2.5x4.5=22.5
2.5x3x4=30
2.5x2x4=20
Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
(x + 1) (x^2 + 5)
Step-by-step explanation:
Simplify the following:
x^3 + x^2 + 5 x + 5
Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):
x^2 (x + 1) + 5 (x + 1)
Factor x + 1 from x^2 (x + 1) + 5 (x + 1):
Answer: (x + 1) (x^2 + 5)