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vaieri [72.5K]
3 years ago
9

Solve the literal equation for y. 6x + 3y = 3

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

6

Step-by-step explanation:

because 3x3=6

so y would have been 6 not sure if am correct but I'm trying something

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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
there are 153 people in line for a ride at an amusement park the ride can take 40 people at a time how many times will the ride
krek1111 [17]

Answer:

Step-by-step explanation:

we need to divide

153/40=3.825

the ride needs to run 4 times

8 0
3 years ago
Form a perfect-square trinomial. y = x2 + 2x + − 1−
Flauer [41]

Answer:

y = x^2+2x+1

Step-by-step explanation:

x^2+2x+1

= (x+1)^2

5 0
2 years ago
Read 2 more answers
1+1 PLEASE PLEASE PLEASE LPEASE PLEASAE PLEASE
arlik [135]

Answer:

2

Step-by-step explanation:

1+1=2 so the answer is 2

5 0
2 years ago
Read 2 more answers
Whats longer 3 hours or 175 minutes
avanturin [10]
3 hours is longer than 175 minutes. An hour is 60 minutes long, so just multiply that by 3 and compare your answer to 175.

60 x 3 = 180
180 > 175

Therefore, 3 hours is longer than 175 minutes.

Hope this helps!
6 0
3 years ago
Read 2 more answers
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