First simplify like terms (things with the same letter):
3g + 7g + 8 = -10 + g
10g + 8 = -10 + g
Next we should take g off both sides:
9g + 8 = -10
Next isolate 9g by taking 8 off both sides:
9g = -18
Next divide both sides by 9 to find the value of g:
g = -2
Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
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<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
If 80 miles is 50% of his trip, then you know that 80 miles is only HALF of his entire trip. To get the distance Raul traveled in total, simply double the 80 miles. This would be 160 miles.
Raul traveled a total of 160 miles in his trip.
Answer:
11. parallelogram, rectangle
12. parallelogram, rhombus
13. parallelogram, square
