Answer:
Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the y-intercept value.
y=-2x+5
y=-2x+20
The slope of the two equations are: m1=−2 and m2=−2
Step-by-step explanation:
Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.
The y-intercepts for the two lines are:b1 = 5 and b1=20
Answer:
x=15
Step-by-step explanation:
Supplementary angles are two angles that equal the sum of 180 degrees.
Take 4x and 8x and make it equal to 180
4x+8x=180
Add like terms:
12x=180
Divide:
x=15
To check:
Plug in 15 to both expressions
4(15)=60
8(15)=120
Add them up and they equal 180 degrees
Hope this helps! :)
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Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Answer:
The table that represents the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
Step-by-step explanation:
We know that a conditional relative frequency table is one:
In which the entries in each row is divided by the row total .
OR
In which the entries in each column is divided by the column total.
i.e. the frequency or quantity of an item is being compared either to row or to the column total.
Hence, from the given options, the table that represent the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
