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2 years ago

What is the y- intercept of this quadratic funtions f(x)=-x2+10x-22

Mathematics

1 answer:

Rama09 [41]2 years ago

3 0

Y intercept: when x = 0
Plug in x = 0
F(0) = -0^2 + 10(0) - 22
F(0) = 0 - 22

The y intercept is (0,-22)

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3 years ago

For a school play, 739 tickets valued at $857 were sold. Some cost $1 and others cost a $1.50. How many $1 tickets were sold?

balu736 [363]

Answer:

503 $1 tickets sold.

Step-by-step explanation:

Use two equations

Let x = number of $1 tickets sold

Let y = number of $1.50 tickets sold

x + y = 739

1x + (1.5)y = 857

First equation ==> y = 739 - x

Plug this into the second equation

x + (1.5)(739 - x) = 857

x + 1108.5 - 1.5x = 857

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There were 503 $1 tickets sold.

To find the number of $1.50 tickets, just plug this value of x into either one of the equations.

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3 years ago

You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock

Rainbow [258]

Answer:

8.31 weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

$S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\$

$\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t$

$\Rightarrow \ln(1.5)=t \ln(1.05)$ [taking log both sides]

$\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31$ weeks

Hence, after 8.31 weeks the stock has been sold for $180.

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3 years ago