Answer:
A linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
An exponential equation is written as:
y = A*(r)^x
Where A is the initial quantity and r is the rate of growth.
If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.
They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.
Answer:
decimals
Step-by-step explanation:
Answer: -2, 0, 4
Set the equation equal to zero.
x³ - 2x² - 8x = 0
Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.
x(x² - 2x - 8) = 0
Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!
x(x - 4)(x + 2) = 0
Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).
x = 4
x = -2
The zeros of the polynomial function are -2, 0, and 4.
2) if it refers to the gray shaded boxes out of all the boxes, then count them 5 rows × 5 columns = 5×5 = 25
The total is 10 rows × 10 columns = 10×10 = 100
Fraction: 25/100 ->> divide both by 25 = 1/4
Decimal: 0.25
Ratio: 25 grey boxes: (100-25) white boxes
= 25:75 ->> divide both by 25 = 1:3
Percent: means "out of 100" so we know it's 25 out of 100 = 25%
3) 27 is 75% of what??
let's make x = what we don't know
Now cross-multiply: multiply top left with bottom right and make equal to the bottom left times the top right
27×100 = 75x
75x = 2700
75x/75 = 2700/75
x = 36
