The equation that relates the number of campers this year to the number of campers last year is c = 440 / 1.10
The number of campers last year is 400.
<h3>What are percentages?</h3>
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are used to measure frequency.
<h3>How many campers attended last year?</h3>
The number of campers last year = number of campers this year / (1 + percentage increase)
440 / 1.1 = 400
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Answer:
v= -12
Step-by-step explanation:
v= -12
v = -29+17
v= -12
The first and the third equation can be solved by using the zero product property. Let us examine each equation.
4x²+16x=0
4x(x+4)=0
4x=0 and x+4=0
where x1=0 and x2=-4
Next answer is whown below:
(x+4)(x-12)=0
x1=-4 and x2=12
Therefore, the first and the third equations are the answers.
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
