Answer:
The rule for the linear function will be:
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)
adding 3 to both sides
or
Therefore, the rule for the linear function will be:
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
<h3>Transformation of functions</h3>
Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
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Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Answer:
The variable in that expression is x
Answer:
93.6 inch^2
Step-by-step explanation:
sides=6 side-length=6 inches Apothem= 5.2 inches Area= 6*(1/2)(6)(5.2)