Answer:
16+x²
Step-by-step explanation:
Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated "k" units up
If
, the function is translated "k" units down.
If
, the function is translated "k" units left.
If
, the function is translated "k" units right.
In this case you have the following function:
![f(x)=3x+2](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B2)
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
![g(x)=3(x+3)-3](https://tex.z-dn.net/?f=g%28x%29%3D3%28x%2B3%29-3)
Finally, simplifying, you get that this is:
![g(x)=3x+9-3\\\\g(x)=3x+6](https://tex.z-dn.net/?f=g%28x%29%3D3x%2B9-3%5C%5C%5C%5Cg%28x%29%3D3x%2B6)
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Answer:
Step-by-step explanation:
Answer:
Rewrite the function as an equation.
y
=
5
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
−
4
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Choose
1
to substitute in for
x
to find the ordered pair.
Tap for fewer steps...
Replace the variable
x
with
1
in the expression.
f
(
1
)
=
5
(
1
)
−
4
Simplify the result.
Tap for more steps...
1
The
y
value at
x
=
1
is
1
.
y
=
1
Choose
0
to substitute in for
x
to find the ordered pair.
Tap for fewer steps...
Replace the variable
x
with
0
in the expression.
f
(
0
)
=
5
(
0
)
−
4
Simplify the result.
Tap for more steps...
−
4
The
y
value at
x
=
0
is
−
4
.
y
=
−
4
Create a table of the
x
and
y
values.
x
y
0
−
4
1
1
Graph the line using the slope and the y-intercept, or the points.
Slope:
5
y-intercept:
−
4
x
y
0
−
4
1
1
Step-by-step explanation: