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AVprozaik [17]
3 years ago
8

What are the coordinates of the vertex in f(x) = -4(x+3)^2-8

Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

vertex = (- 3, - 8 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = - 4(x + 3)² - 8 ← is in vertex form

with (h, k) = (- 3, - 8 ) ← vertex

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<h2>Therefore he took 40 gram of 1^{st} type solution and 10 gram of 2^{nd} type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of 1^{st} type solution

and he took (50-x) gram of 2^{nd} type solution.

Total  amount of alcohol =[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ] gram

Total amount of solution = 50 gram

According to problem

⇔\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}

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⇔x = 40 gram

Therefore he took 40 gram of 1^{st} type solution and (50 -40)gram = 10 gram of 2^{nd} type solution.

7 0
4 years ago
Read 2 more answers
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3 years ago
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