Answer:
333.80
Step-by-step explanation:
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r
^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r
^ⁿ⁻¹
a₂₀ = 6 · 3
^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802
Answer: 63.64cm²
Step-by-step explanation:
Substitute x with the members of the domain.
f(x) = 5x² + 4
Substitute with the domain of -4
f(x) = 5x² + 4
f(-4) = 5(-4)² + 4
f(-4) = 5(16) + 4
f(-4) = 80 + 4
f(-4) = 84
Substitute with the domain of -2
f(x) = 5x² + 4
f(-2) = 5(-2)² + 4
f(-2) = 5(4) + 4
f(-2) = 20 + 4
f(-2) = 24
Substitute with the domain of 0
f(x) = 5x² + 4
f(0) = 5(0)² + 4
f(0) = 5(0) + 4
f(0) = 0 + 4
f(0) = 4
Substitute with the domain of 1.5
f(x) = 5x² + 4
f(1.5) = 5(1.5)² + 4
f(1.5) = 5(2.25) + 4
f(1.5) = 11.25 + 4
f(1.5) = 15.25
Substitute with the domain of 4
f(x) = 5x² + 4
f(4) = 5(4)² + 4
f(4) = 5(16) + 4
f(4) = 80 + 4
f(4) = 84
The range of the function for those domain is {4, 24, 15.25, 84}
Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using 
provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st = 
is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point 
.
This gives:
I'm going to distribute:
Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:
Add 26x on both sides:
Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)
