Addition subtraction multiplication or division
Jen take x hours.
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work

=

=

Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=


-3x=4x-6


-x-6x+6=0
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6
Answer:
12 teeth
Step-by-step explanation:
<em>The attachment of this question is missing; however, the question can be solved without the attachment</em>
Given:
Larger Gear = 6
Smaller Gear = 1
Required
Number of Smaller Gear if there are 72 larger gears
When the number of larger gear is 6, smaller gears is 1;
<em>This can be represented using the following ratio;</em>

Let x represent the number of smaller gear, when there are 72 larger gears;
<em>This can also be represented using the following ratio;</em>

Equate both ratios

Convert the ratios to fraction

Multiply both sides by x


Divide both sides by 6.



<em>This implies that there are 12 teeth on the smaller gear</em>
Answer:
g(f(x)= x^3+3x^2+3x+1
Step-by-step explanation:
the statement tell us:
f(x) = x + 1
g(x) = x^3
so we have:
g(f(x)=(x + 1)^3
g(f(x)= x^3+3x^2+3x+1