(09.02 HC)

1 answer:

4 0

We factor the equation to get:

-(x-25)^2+361

In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.

B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.

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In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will b

jeyben [28]

Answer:

In the last two overs, the bowler gave 14 runs.

Step-by-step explanation:

The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.

i.e.

Score given in first 8 overs = 4.5 × 8 = 36

Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.

so, subtract 36 from 50 to get the score he will be giving in the last two overs.

i.e. score given the last two overs = 50 - 36 = 14

Therefore, in the last two overs, the bowler gave 14 runs.

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Luba_88 [7]

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Step-by-step explanation:

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If 2/x+ 3/y =13 and 5/x- 4/y = -2, then x+y equals

creativ13 [48]

Answer:

$x + y = \frac{5}{6}$

Step-by-step explanation:

Let:

$u = \frac{1}{x} \\ v = \frac{1}{y}$

This allows us to manipulate the equations like we normally would.

$2u + 3v = 13 \\ 5u - 4v = - 2 \\ \\ + 8u + 12v = 52 \\ + 15u - 12v = - 6 \\ 23u = 46 \\ u = 2 \\ \\ 2(2) + 3v = 13 \\ 4 + 3v = 13 \\ 3v = 9 \\ v = 3$