This is the concept of proportionality, we are required to calculate for the number of hours two crews can use to paint the house altogether.
Here proceed as follows;
number of hours new crew can paint=12 hrs
portion of work painted by new crew in 1 hour= 1/12
number of hours experienced crew can paint=6 hours
Portion of work painted by experienced crew in 1 hour=1/6
Portion of work painted by the two crews altogether in 1 hour will be:
1/6+1/12=1/4
thus the total amount of hours that the two painters will take to paint will be:
4 hours
We have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=<span>14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
</span>(14x2 - 16x3 +14 - 2x4)
then
-2x4-16x3+14x2+14=0--------------> this is the <span>standard form
simplify </span><span>dividing the entire expression by two
</span><span>-x4-8x3+7x2+7=0
the answer is
</span>-x4-8x3+7x2+7=0<span>
</span>
Answer:
Step-by-step explanation:
Can the sides of a triangle have lengths 5, 8, and 11?
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by

where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
Answer:
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Step-by-step explanation: