4. 6/8, 5. 3 5/8, 6. 7 7/8, 7. 72 months and 2,190 days
Answer:
y = 3/4x - 2
Step-by-step explanation:
slope intercept form: y = mx + b
y-intercept(when x= 0) is given by b
slope is given by m
lets find the slope using the two given points, (4,1) and (8,4)
m = y2-y1 / x2-x1
m = 4 - 1 / 8 - 4
m = 3/4
Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).
1 = 3/4(4) - b
1 = 3 - b
b = -2
now you have m and b so you can finish writing your equation.
y = mx + b
y = 3/4x - 2
The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.
<h3>How to find the difference between the integral divisors?</h3>
First let's find the integral divisors. We can write 66 as a product of prime numbers as:
66 = 33*2 = 2*3*11
Then the integral divisors of 66 are:
2
3
11
2*3 = 6
2*11 = 22
3*11 = 33
1 (trivially)
66 (trivially)
The sum gives:
2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144
For 70 we have:
70 = 7*10 = 2*5*7
Then the integral divisors are:
1
70
2
5
7
2*5 = 10
2*7 = 14
5*7 = 35
The sum gives:
1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144
Then the difference between these two sums is:
144 - 144 = 0
If you want to learn more about integral divisors:
brainly.com/question/4785696
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Both f(x) and g(x) have the same range of [0,-infinity).
<h3>What is a
function?</h3>
A function is an expression that shows the relationship between two or more numbers and variables.
Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:
Both f(x) and g(x) have the same range of [0,-infinity).
Find out more on function at: brainly.com/question/25638609
Answer:
20.25 ft
Step-by-step explanation:
area of the triangle = 12.25 ft
area of rectangle = 18ft
= 20.25 ft
