Answer:
Step-by-step explanation:
for 182 miles you need 14 gallons
??????? 8 gallons
8/14=x/182
x=182*8/14
x miles=104 miles
q(x=f(x-h+k
here, h=0, k=-8, so
to translate f(x) 8 units down, we have
q(x)=f(x-0)-8
=2x^2-3x+5-8
=2x^2-3x-3
Answer:
If:
(1)
And we have to rewrite the following expresion in terms of 
:
(2)
Firstly we have to rearrange the right side of equation (2) in terms of 
, factorizing by the common factor:
Then, we can substitute by :
And set it equal to zero:
>>>>This is the resulting equation
Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
In this case, the variable is and the number that multiplies the variable (the coefficient) is 
, whereas the constant (which is the term with no variable) is 
The possible dimensions of the prism will be evaluated as follows:
<span>60x3 + 145x2 + 70x
factoring out
factoring out 5x we get:
5x(12x^2+29x+14)
factoring the quadratic we get:
5x(3x+2)(4x+7)
hence the dimensions are:
5x by (3x+2) by (4x+7)</span>
