Step-by-step explanation:
<em>How do you factor a polynomial?
</em>
<em>follow these steps:
</em>
<em>1.Check for the GCF first. ...
</em>
<em>2.Multiply the quadratic term and the constant term. ...
</em>
<em>3.Write down all the factors of the result, in pairs. ...
</em>
<em>4.From this list, find the pair that adds to produce the coefficient of the linear term.</em>
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
<em>Translating the word problem into an algebraic equation, we have;</em>
..........equation 1
........equation 2
........equation 3
<em>We would solve the linear equations by using the substitution method; </em>
<em>Substituting equation 2 into equation 1;</em>
........equation 4
<em>Substituting equation 2 and equation 4 into equation 3;</em>
<em>Simplifying the equation, we have;</em>
C = 25 years.
To find G; from equation 2
Substituting the value of "C" into equation 2, we have;
G = 31 years.
To find J; from equation 1
Substituting the value of "G" into equation 1, we have;
J = 93 years.
<em>Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old. </em>
D(t) = 186,000t.....t represents the number of seconds....so in 32 seconds...t = 32
d(32) = 186,000(32)
d(32) = 5,952,000 miles <==
Their daily rate is

miles per day
Using distance-speed-time formula, we can calculate the time

days
They need 21-3=18 more days to finish the trip