A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
$21.33
Step-by-step explanation:
If the waiter earns $128 for 6 hours, divide 128 by 6.
21.33...
This answer can be stated in many ways. Each friend will get 3/5, 0.6, or 60% of a pack. (All the answers I previously stated are equal)
Answer: Option C
Step-by-step explanation:
Given the quadratic equation 
, substitute 
:
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
Therefore, you get that the solutions of this equation are the following:
Then, the answer is:
This matches with the option C.
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<h3>4 + 3s + 2 </h3>
→ Terms - <u>Three</u> (<u>Trinomial</u>)
→ Coefficient - <u>3</u>
→ Constants - <u>4</u> and <u>2</u>
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