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Elan Coil [88]
3 years ago
5

How to find the vertex of a parabola given a quadratic equation?

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0
let \: f(x) = ax {}^{2} + bx + c \\ thus \: f(x) \: represents \: a \: parabola \: whose \: axis \: is \: parallel \: to \: the \: y \: axis \: and \: vertex \: is \: \frac{ - b}{2a} ,\frac{ - d}{4a} \\

At the respective max and min values

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Mr.Burn's class is taking aa field trip to the planetatium. The trip will $27 for each student. There are 18 students in his cla
mojhsa [17]
$27 x 18 students = 486 actual cost.

$30 x 10 students = 300 estimated total cost using compatible numbers.
$20 x 20 students = 400 estimated total cost using compatible numbers. (better option because it is nearer to the actual cost)

Compatible numbers are numbers that can easily be multiplied or divided using mental computation.

Compatible number for 27 and 18 can be: 30 and 20 OR 20 and 20 OR 30 and 10 OR 20 and 10.

However, there is a rule in multiplying the compatible numbers, when one number is increased the other number must be decreased.

So 27 can be increased to 30; while 18 can be decreased to 10 to get a product of 300.

27 can be decreased to 20; while 18 can be increased to 20 to get a product of 400.
4 0
3 years ago
Read 2 more answers
What amount of money will accumulate to $192,400 in 6 years and 11 months at the interest rate of 5.36% compounded semi-annually
MaRussiya [10]

We will have the following:

\begin{gathered} 192400=A(1+\frac{0.0536}{2})^{(11/12)(2)}\Rightarrow A=\frac{192400}{(1+0.0536/2)^{(11/12)(2)}} \\  \\ \Rightarrow A=183293.7505...\Rightarrow A\approx18329375 \end{gathered}

So, the original quantity was approximately $183 293.75.

3 0
11 months ago
A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.
gtnhenbr [62]

200cm which has been rounded up to to the nearest cm meaning it could be 199.5cm. Then times it by 32.

199.5 x 32 = 6384cm

7 0
3 years ago
carlos took a cab home from airport. write a formula that determines how much he paid per mile. t=total cost. p=price per mile.
erica [24]
T=p x n

i think thats right 
5 0
3 years ago
Read 2 more answers
What is the value of y?<br><br> 39<br> 34<br> 16<br> 20 <br><br> one of those number is the answer
melomori [17]

Answer:

20

Step-by-step explanation:

we see here that angle RPN is 180 degrees. SPM is 90 degrees so

angle RPS + angle SPM + angle MPN = 180 degrees

(4y - 10) + 90 + y = 180

(4y - 10) + y = 90

5y - 10 = 90

5y = 100

y = 20

5 0
2 years ago
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