Problem 11
<h3>Answer: -4x^2 - 6 (choice 3)</h3>
Work Shown:
P = 4x^2-x+1
Q = -6x^2+x-4
P+Q = sum of P and Q
P+Q = (4x^2-x+1)+(-6x^2+x-4)
P+Q = (4x^2-6x^2)+(-x+x)+(1-4)
P+Q = -2x^2+0x-3
P+Q = -2x^2 - 3
2*(P+Q) = twice the sum of P and Q
2*(P+Q) = 2*(-2x^2 - 3)
2*(P+Q) = 2(-2x^2) + 2(-3)
2*(P+Q) = -4x^2 - 6
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Problem 12
<h3>Answer: 6x^3 + 4x^2 - 34 (choice 1)</h3>
Work Shown:
y = 3x^3 + x^2 - 5
z = x^2 - 12
2(y+z) = 2(3x^3 + x^2 - 5 + x^2-12)
2(y+z) = 2(3x^3 + 2x^2 - 17)
2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)
2(y+z) = 6x^3 + 4x^2 - 34
Answer: 24 cm^2
explanation: the area of the triangle would be 6 because (3*4)/2=6. the area of the larger rectangle would be 12 because 4*3=12. the missing side is found by subtracting 8 by 4. the smaller rectangle’s area would be 6 because 4*1.5=6. add 6, 12, and 6 together and you get 24. i hope this helps!!
we know that
The graph of g(x) is a translation of the function f(x)
so
the vertex of f(x) is the point 
the vertex of g(x) is located 
units above and 
units to the right of the vertex of f(x)
The rule of the translation is
<u>Find the vertex of the function g(x)</u>
the vertex of g(x) is the point 
the equation of the function g(x) in the vertex form is equal to
where
(h,k) is the vertex
substitute the value of the vertex in the equation
<u>the answer is</u>
For every 1/4 metric ton it takes 1/8 hours
then multipling by 8 to make the hours =1
for every 2 metric tons it take 1 hour
so the quotient is 2 metric tons per 1 hour
The answer just keeps coming back to zero dude it's simple you can't really calculate this either way the value of it would just be zero you can't simplify it or anything
