The expression in A is equal to:
y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
y = mx + b
where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B:
The slope of the line can be calculated through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
Answer:
y=8/5x+2
Step-by-step explanation:
if parallel, the slopes should be the same
slope = 8/5
so the equation could be y=8/5x+2, or anything that is moved across the y axis with that slope
Answer:
123%
Step-by-step explanation:
(12/30)x100 is 40%
This is percent of incorrect answers. The total percent must be 100% so subtract 100-40=60%.
60% answers were answered correctly.
Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)
