Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
Answer:
-4x^4-6x^3-8x^2-24x
Step-by-step explanation:
distribuir parênteses
Aplicar regras de menos mais ;
simplificar
Hello there!
The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.
3x + 1 < -2x + 8
We wanna start by subtracting 1 on both sides
3x + 1 - 1 < -2x + 8 - 1
3x < -2x + 7
Add 2x on both sides
3x + 2x < -2x + 7 + 2x
5x < 7
x < 7/5
I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!
X= 19/12 which is 1.58 in decimal form
<h3>
Answer: 14.85 + c = 20</h3>
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Reason:
To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)
The change c is
c = 20-14.85
To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20
In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.
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Extra info (optional section)
If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00
Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.
