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Savatey [412]
3 years ago
11

86.40-12.59 plz answer

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0
The answer is 73.81 :))
inn [45]3 years ago
8 0
I hope it helps you get it right

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Is y=3x^2-x-1 a function
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Answer: Yes it is a function.

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The graph passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the parabolic curve.

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The answer is A :)))
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The histogram below shows cell phone data usage in megabytes (Mb).
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3 years ago
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2 years ago
Read 2 more answers
Please help! A-level maths.
astra-53 [7]

x+y=k\implies y=k-x

Substitute this into the parabolic equation,

k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0

We're told the line x+y=k intersects C twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

(-7)^2-4(k+3)=49-4(k+3)>0\implies k

We can tell from the quadratic equation that C has its vertex at the point (3, 6). Also, note that

-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5

and

-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6

so the furthest to the right that C extends is the point (5, 2). The line x+y=k passes through this point for 2+5=k\implies k=7. For any value of k, the line x+y=k passes through C either only once, or not at all.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
3 years ago
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