Answer:
Step-by-step explanation:
g(x) = 3x + 5
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
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f(x) = 2x² + 3
f(g(3)) = 2(g(3)) + 3
f(14) = 2(14²) + 3
f(14) = 2(196) + 3
f(14) = 392 + 3
f(14) = 395
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f(g(3)) = 395
Answer:
(-2,-6)
-2
Step-by-step explanation:
To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have
-2
this is the x coordinate of the vertex.
Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)
This is the y coordinate
which means we have (-2,-6)
the axis of symmetry is just the x coordinate of the graph
which is -2
9 longer sticks were used.
This is how i get it.
1. change m to cm, 1m =100cm
2. add both together, divide by 16 =8.125. Which means 1 of the stick should more than 8, and 1 of the other stick should be less than 8
3. substitute the equation
4.(55 x 7)+(75 x 9) =1060
Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=
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