Answer:
Step-by-step explanation:
3 consecutive integers....
1st integer = x
2nd integer = x + 1
3rd integer = x + 2
the product of 1st and 3rd is 5 greater then 5 times the 2nd...
x(x+2) = 5(x + 1) + 5
x^2 + 2x = 5x + 5 + 5
x^2 + 2x = 5x + 10
x^2 + 2x - 5x - 10 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x - 5 = 0 x + 2 = 0
x = 5 x = -2
so it will be : 5,6,and 7 or -2,-1, and 0
Answer:
1. y ≥ 100
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable.
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as:
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser.
This can be written as:
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y.
Twice the number y can be written as:
2y
But twice the number is at least 80.
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree.
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
The absolute value inequality is given as |(p - 0.43)I ≤ 0.019
<h3 />
<h3>How to describe the proportion using the absolute value inequality</h3>
The proportion p = 43% = 0.43
Margin of error = 1.9% = 0.019
The value of the proportion can then be said to lie between
(0.43 - 0.019) ≤ p ≤ (0.43 + 0.019)
In order to convert to the absolute inequality we would be having
-0.019 ≤ (p - 0.43) ≤ 0.019
I (p - 0.43)I ≤ 0.019
Read more on margin of error here
brainly.com/question/24289590
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Answer:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:
And replacing we got:
So then the length AB would be 
Step-by-step explanation:
For this case we have the following two points:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:
And replacing we got:
So then the length AB would be
The thing true about that is that we can use the distributive property to simplify it.
4(9+6) = 4*9 + 4*6 = 36 + 24 = 60
