4)
Non linear:
y = 6 -x^2
y = 2x^2 + 2
y = x^3
5)
Rate of change is also the slope
= (72 - 69) / (51 - 48)
= 3/3
= 1
Rate of change = 1
6)
First you need to find slope
(3,0) and (5,2)
Slope = (2 - 0)/(5-3) =2/2 = 1
Equation
y - 0 = 1(x - 3)
y = x - 3
Answer:
Tyler's function is correct as y = x - 3, it matched the above.
Answer:
B
Step-by-step explanation:
And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.
It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.
It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.
It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.
And it is B because the numbers maintain a constant difference between each other, which is -3.
Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
Answer:
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.As we have seen in examples above, we can represent a function using a graph. Graphs display many input-output pairs in a small space. ... The most common graphs name the input value x and the output value y , and we say y is a function of x , or y=f(x) y = f ( x ) when the function is named f .
Step-by-step explanation:
Brainlist will be very accept if you want took me a while to do :)
Answer:
3^14
Step-by-step explanation:
Taking a look at the question, try to break it down into these general steps:
1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.
2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.
3. Rewrite the equation as 3^(9+5). This should give you 3^14
