The initial value of the function is 2.5.
The function increases by a factor of 2.5 for each unit increase in x.
The domain of the function is all real numbers.
The range of the function is all real numbers greater than 3.
The statements which are true of the function; f(x) = 3(2.5)^x and there explanations are below;
Read more on exponential functions;
This is an exponential function since the x is in the exponent's place instead of in the place of a "regular" variable. The first statement is true.
The initial value of this particular function is 3 (the other number is the multiplier), so choice 2 is NOT true.
The function increases by its multiplier, which is 2.5, so statement 3 is true.
The equation allows us to enter any x value we want to determine the y, so the domain is in fact all real numbers. So, this statement is also true.
If you were to graph this on a calculator, you would see that the range, the "allowed" y values for our function, do not touch or ever drop below the x-axis. That means that the range is all numbers greater than 0. So that statement is false. No matter what value we pick for x, we will NEVER get back a negative y value or that y = 0. For example, if x = 0, y = 3; if x = -5, y = .03; if x = -10, y = .0003; if x = 5, y = 292.97; if x = -100, . Y will never be equal to 0 or less than 0.
Answer:
Symmetric property of equality is illustrated by the following statement.
if hxa =rgi,
then;
rgi =hxa
Step-by-step explanation:
Symmetric property of equality states
if x = y
then
y = x
As per the statement:
If
by symmetric property of equality;
Therefore, symmetric property of equality is illustrated by the following statement.
Answer:
Symmetric
Step-by-step explanation:
sorry for being 3 years late
B) 2x − 3y < 7
C) −3x + 2y > 7
D) 3x − 2y < 7
Answer:
D) 3x − 2y < 7
Step-by-step explanation:
We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.
In "intercept form," the equation of the line can be written ...
x/x-intercept +y/y-intercept = 1
Using the given intercepts, this is ...
x/2.3 +y/(-3.5) = 1
The answer choices suggest that we should multiply this by 7. When we do, we get ...
3x -2y = 7 . . . . the equation of the boundary line
__
The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.
As we said, x-values are less than those on the line, so the shaded area is ...
3x -2y < 7 . . . . matches choice D
Answer:
D) 3x − 2y < 7
Step-by-step explanation:
Took the test and got it right :)
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)
Part B: Write any two solutions for f(x). (3 points)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)