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
Answer:
f(x) = $25 + $75x.
Domain: positive whole numbers.
Range: f(x) ≥ $25
Step-by-step explanation:
Let x denote the total number of tour member, charging $75 per tour member implies $75x.
Therefore, the tour company charges:
f(x) = $25 + $75x
The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."
The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.
Answer: the area of the triangle is 23.4 cm²
Step-by-step explanation:
The given triangle is not a right angle triangle. Since two sides and one angle are known, we can either apply the Heron's formula or the Sine formula which is expressed as
Area of triangle = 1/2abSinC
Where a and b are the sides of the triangle and C is the given angle. Therefore,
Area = 1/2 × 8.2 × 6.4 × Sin63
Area = 1/2 × 8.2 × 6.4 × 0.8910
Area = 23.4 cm² to the nearest tenth.
Answer:
A. 16.12 ft B. 9.64 ft
Step-by-step explanation:
For both of these, you need Pythagorean's Theorem because we have right triangles. In part A, we are given 2 legs and are asked to find the length of the hypotenuse:
and
and PR = 16.12 ft
In part B, we are given the length of the hypotenuse and side PQ remains the same:
and
so
QR = 9.64 ft
