Answer:
f(g(x)) = 3x -5
h(g(x)) = x^2 -8x +17
Step-by-step explanation:
— f(g(x))
f(g(x)) = f(x -4) = 3(x -4) +7 = 3x -12 +7
f(g(x)) = 3x -5
_____
— h(g(x))
h(g(x)) = h(x -4) = (x -4)^2 +1 = x^2 -8x +16 +1
h(g(x)) = x^2 -8x +17
<h3>Given</h3>
–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5
<h3>Find</h3>
Which of the following represents the expression written in standard form:
–7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6
5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6
8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3
8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5
<h3>Solution</h3>
The variables are x and y. All terms have degree 6, so we can choose to write them in order of decreasing powers of x or of decreasing powers of y.
The terms tha can be combined are those involving xy⁵ and x²y⁴. Combining those terms, we have xy⁵(-1-6) = -7xy⁵, and x²y⁴(-2+3) = x²y⁴.
The first offered choice has the powers of y in decreasing order, but it has an incorrect coefficient for x²y⁴. The second and third offered choices have no consistent ordering of powers.
The best choice is the last one:
... 8x⁶ +8x⁴y² -5x³y³ +x²y⁴ -7xy⁵
Answer:
3.333
C = 3.3333g
Step-by-step explanation:
Given the relation : C = rg
C = Total cost of gasoline
g = Number of gallons of gasoline used
r = constant of proportionality
Picking any point on the graph :
At cost, c = $30
Number of gallons of gasoline used, g = 9
Putting the values into our equation :
C = rg
$30 = r * 9
30 = 9r
Divide both sides by 9
30/9 = 9r / 9
3.333 = r
Hence, constant of proportionality, r = 3.333
Answer:
B
Step-by-step explanation:
33.8 Rounded
Use Pythagorean theorem :)
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