Answer:
Step-by-step explanation:
→ State the volume of a rectangular prism
Length × Width × Height
→ Substitute in the numbers
→ Convert to improper fractions
→ Multiply
→ Convert to mixed fraction
Answer:
f(-4) = 5
Step-by-step explanation:
Explanation of
_
| 5, x < -3
f(x) | 2x² - 4, -3 ≤ x ≤ 4
| 1 - 6x , x > 4
_
When the x in f(x) is less than -3 than f(x) = 5
When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4
When the x in f(x) is greater than 4 than f(x) = 1 - 6x
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Now that we know this lets look back at the question.
We want to find f(-4).
Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5
Answer:2
Step-by-step explanation:
Total Distance = 4km
Each person takes 4/5km
Calculate the number of times the tent has to change hands:
Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
