Two ways of solving:
1. Convert the fractions to decimals:
3/7 = 0.42857
3/5 = 0.6
0.42857 < 0.6
So 3/7 < 3/5
Second way is to rewrite the fractions with a common denominator:
3/7 = 15/35
3/5 = 21/35
Now compare the numerators:
15 < 21 so 3/7 < 3/5
X^2-16 is a difference of squares of the form:
(a^2-b^2) which always factors to:
(a+b)(a-b), in this case we have:
(x+4)(x-4), we are told that width is (x+4) so the length is:
(x-4)
The equation of the function g(x) is g(x) = 7^(3x) + 1
<h3>How to determine the function g(x)</h3>
The function f(x) is given as:
f(x) = 7^x 1
When compressed horizontally by a factor of 1/3.
We have:
g(x) = f(3x)
This implies that:
g(x) = 7^(3x) + 1
Hence, the equation of the function g(x) is g(x) = 7^(3x) + 1
Read more about function transformation at:
brainly.com/question/13810353
#SPJ1
Answer:
<em>4years</em>
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
<em>Hence the sum of their ages now is 4years</em>
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