<h3>
<u>Explanation</u></h3>
We have the given slope value and the coordinate point that the graph passes through.
where m = slope and b = y-intercept. Substitute the value of slope in the equation.
We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.
<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>
The value of b is 6. We substitute the value of b in the equation.
We can also use the Point-Slope form to solve the question.
Given the y1 and x1 = the coordinate point value.
Substitute the slope and coordinate point value in the point slope form.
<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>
<h3>
<u>Answer</u></h3>
<u>
</u>
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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Answer:
6x³ - 4x² - 8x - 16
Step-by-step explanation:
Step 1: Distribute the 2x
6x³ + 8x² + 8x
Step 2: Distribute the -4
-12x² - 16x - 16
Step 3: Combine the 2 distributions
6x³ + 8x² + 8x - 12x² - 16x - 16
Step 4: Combine like terms
6x³
8x² - 12x² = -4x²
8x - 16x = -8x
-16
Step 5: Rewrite
6x³ - 4x² - 8x - 16
Answer:
A
Step-by-step explanation:
Let's check each one-by-one.
a.
we know 3.79 liters is 1 gallon, so 4 liters IS NOT LESS THAN 1 gallon
THis is false.
b.
We know 1 feet is 0.30 meters, so definitely 1 foot is less than 1 meter.
This is true.
c.
we know around 28.35 grams is 1 ounce, so definitely 25 grams is less than 1 ounce.
THis is true.
d.
We know 1 km is approximately 0.62 miles so 10 km would be around 0.62*10 = 6.2 miles
So definitely 9 miles IS GREATER than 10 km.
THis is true.
So answer choice A is false, only.
