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vagabundo [1.1K]
3 years ago
9

X^2+10x-y+15=0 what is the vertex of this parabola?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

 

\displaystyle\bf\\x^2+10x-y+15=0\\\\y=x^2+10x+15\\\\\Delta=b^2-4ac=10^2-4\cdot15=100-60=\boxed{\bf40}\\\\Vertex~is~~V\Big(x=\frac{-b}{2a};~~y=\frac{-\Delta}{4a}  \Big)\\\\\\V_x=\frac{-b}{2a}=\frac{-10}{2}=\boxed{\bf-5}\\\\\\V_y=\frac{-\Delta}{4a}=\frac{-40}{4}=\boxed{\bf-10}\\\\\\\implies~\boxed{\boxed{\bf~V\Big(-5;~-10\Big)}}

 

 

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The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c
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\text{Answer} : \text{The expected value of a t-shirt is \$31.}

Explanation:

Since we have given that

The prices of three t-shirts styles  i.e $24, $30, $36 with their probability is given by

\frac{1}{6}, \frac{1}{2},\frac{1}{3}

As we know that,

E(X)= \sum_{1}^{3}x_iP(x_i)

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Now,

x_1= \$24 , x_2=\$30 , x_3=$36

and

P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}

So,

E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31

So, the expected value of a t-shirt = $31.

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Write a function to describe the following scenario.
Tanya [424]

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

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x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Learn about more information https://brainly.in/question/33655852

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