5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
<h3>What number must be an integer multiplied by to find a perfect square? </h3>
A number is a <em>perfect</em> square if the following property is satisfied:
a = b², where is a <em>natural</em> number.
Please notice that b can be either a <em>prime</em> number or a product of <em>prime</em> numbers.
Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of <em>prime</em> numbers:
35280 = 2⁴ × 3² × 5 × 7²
35280 = (2²)² × 3² × 5 × 7²
35280 = 4² × 3² × 5 × 7²
Then, we must add a 5 to find a product that is a perfect square:
4² × 3² × 5² × 7² = 176400
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
To learn more on prime numbers: brainly.com/question/9315685
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A. Median. That is simply what it is called
3x+2y=9
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1
Y=4x-1
Y=4(1)-1
Y=3
Answer:
Option A is the correct one.
Step-by-step explanation:
If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)
Now, for any real value of x, the g(x) is positive.
Therefore, option B and option C is not correct.
Now, from the graph given in option A, it is clear that for y = 5, x value is near ±
.
So, putting x = in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.
Therefore, option A is the correct one. (Answer)
