Answer: 15
Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.
To find the least common multiple or <em>lcm</em> of 3 and 5, we begin by listing the first few multiples of each number.
<em>Multiples of 3</em>
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
We skipped 0 x 3 because our lcm can't be 0.
Next we list the multiples of 5.
<em>Multiples of 5</em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
Notice that 15 appears in both lists so
our least common denominator is 15.
Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
Can you add an attachment to the table, so we can see the prices.
Answer:
63.6 m^2
Step-by-step explanation:
A = (pi)r^2
r = d/2 = 9 m / 2 = 4.5 m
A = (3.142)(4.5 m)^2
A = 63.6 m^2
Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.
Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.
For a function y = f(x), horizontal dilation is achieved when x is replaced by 
and vertical dilation is achieved when y is replaced by 
where A is the scale factor.
In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.
Therefore, the answer to the given question is:
A dilation is an enlargement if the scale factor is greater than 1.
