Answer:
B) 1
Step-by-step explanation:
There are 8 pairs of data in the table but only 7 points plotted in the graph,
hence there must be 1 point that is missing from the graph.
It turns out that the missing point that was not plotted is (10, 2.5)
Answer:
no
Step-by-step explanation:
a natural number has to be a whole number
The answer is C. Just divide all of the fractions and use the decimals to see which is bigger/smaller.
complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
1. group x terms, so for y=ax^2+bx+c, do y=(ax^2+bx)+c
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2, factor out the leading coefinet (constant in front of the x^2 term), basicallly factor out a
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3. take 1/2 of the linear coefient (number in
front of the x), and square it ,then add negative and positive of it
inside parnthases
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4. complete the squre and expand
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so
y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)
The function is y=2x
this means that the solutions will have the form (x, y)=(x,2x).
For example: (0,0),(1,2),(2,4),(3,6) are solutions.
The first answer choice satisfies the above conditions.
The second answer choice contains (2,2), and (2,6), both of which do not satisfy the (x,2x) condition, so it's not correct.
The third answer choice contains (4,2), which again does not satisfy (x,2x), so not the right answer.