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mrs_skeptik [129]
3 years ago
13

Find the equation!!! asap. 10 points

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

y=\frac{1}{60}x^2

Step-by-step explanation:

The focus of the parabola is (0,15)

and the directrix is y=-15.

The equation of this parabola is given by:

x^2=4py

The vertex of this parabola is at the origin (0,0)

The value of p is the distance from the vertex to the focus.

p=15-0=15

The equation of the parabola is

x^2=4(15)y

x^2=60y

Or

y=\frac{1}{60}x^2

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A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer
Igoryamba

<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>

<em> </em>  ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>

    ⇒ because of the graph project the computer's value as growing over  

         years

<u>Now let's try to set up an equation</u>:

After 1st year ⇒ Computer's value = total_.value*\frac{1}{2}

After 2nd year ⇒ Computer's value = total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2}  )^2

After 3rd year ⇒ Computer's value =total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3

     

 ..... (<em>Hopefully you see a pattern)</em>

<em />

After x year ⇒ Computer's value = total_.value*(\frac{1}{2})^x

<u>Therefore, the equation is</u>: total_.value*(\frac{1}{2})^x

  ⇒that means the graph has to <u>exponentially decreasing</u> as it has

     an exponent (<em>meaning the function is exponential</em>) and a base less

     than 1 (<em>meaning that the function is decreasing)</em>

<u>Answer: Choice (1)</u>

<u></u>

Hope that helps!

5 0
1 year ago
Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?
jarptica [38.1K]
(0,8/3) is the answer
6 0
2 years ago
Read 2 more answers
8.4.9 On or off the line &amp; Practice Problems
Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

4 0
3 years ago
Solve each equation
Darya [45]

Answer:

r= 0

r= 1

b= -3

x= -3

Step-by-step explanation:

4r-8r=0

-4r=0

r=0

-15=-8r-7r

-15= -15r

r=1

3b+7-1=-3

3b= -3-7+1

3b= -9

b= -9/3

b=-3

3x+1-6x=7

-3x= 7-1

-3x= 6

x= -6/3

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7 0
3 years ago
How is 2y(z(z+5)+10) gotten from 2yz^2 +10yz +20y ? Please help!!!
Harrizon [31]

Answer:

Adding like terms! Hope this Helps!

6 0
2 years ago
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