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:
1/10
Step-by-step explanation:
The probability of flipping heads is 1 out of 2 or 1/2
The probability of getting a 5 on the spinner is 1/5
The probability of getting both is 1/2 * 1/5 = 1/10
You should try this out by listing all the ways this can happen.
Spinner Coin
1 H
2 H
3 H
4 H
<em><u>5 H</u></em>
1 T
2 T
3 T
4 T
5 T
There are 10 ways of this problem giving results. Only 1 of them is correct.
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
x+1
Step-by-step explanation:
Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed
35000(0.95)^8= 23219.7151
Round to the nearest hundredth value:
About $23219.72
Let me know if you have any questions :)
