Volume is the area of the base times the height of the figure. This means that the area of the base is 1x1 and then the height is 1. The volume is 1 cubic foot.
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
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)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114
Between 8 and 9
is the correct answer (8.06)
Hello!
The problem has asked that we simplify the given expression using the Distributive Property. The Distributive Property states the following:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we’ll use the second of the two formulas listed above. Let’s begin by inserting any known values given in the original problem:
a(b – c) = ab – ac
5(2x – 5) = 5(2x) – 5(5)
Now simplify the right side of the equation:
5(2x) – 5(5) = 10x – 25
We have now proven that 5(2x – 5) is equal to 10x – 25. Therefore, the correct answer is C.
I hope this helps!
<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>
