Answer:
g(x)=2-x² OR g(x)=-x²+2
Step-by-step explanation:
Notice that the red parabola doesn't stretch or compress. It only translates 3 units down. This means taking the original equation f(x)=-x²+5 and subtracting 3 units will get us the equation g(x)=-x²+2 which is also the same thing as g(x)=2-x². Looks like some of your answer choices got cut out of the picture so make sure to choose the answer I provided.
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
Answer:
Step-by-step explanation:
First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!