All categories

2 years ago

19. Find an equation of the parabola that satisfies the given conditions.

Mathematics

1 answer:

GalinKa [24]2 years ago

6 0

Here, the focus of the parabola is (2,0) and directrix is x=−2.

So, equation of parabola will be y2=4ax

Here,a=2.So, Equation becomes,

y2=4∗2x⇒y2=8x, which is the required equation of parabola.

You might be interested in

1 less than c squared

ahrayia [7]

if c was 9 then it would be

8 squared.

this question kind of bland

4 0

3 years ago

Read 2 more answers

The local newspaper has letters to the editor from 70 people. If this number represents 2% of all of the newspaper's readers,

pishuonlain [190]

Answer:

3500

Step-by-step explanation:

2/100=70/?

2*35=70

35*100=3500

4 0

3 years ago

What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 x−5g, left parenthesis, x, right parenthesis, equals, minu

Semenov [28]

Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

8 0

3 years ago

A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable v

gulaghasi [49]

Answer:

The capability index for the process is 0.889

Step-by-step explanation:

Here, we want to compute the capability index for the process

To get this, we need some important parameters which we already have stated in the question

USL ( upper standard limit) = 0.048

LSL (lower standard limit) = 0.032

mean = 0.04

standard deviation = 0.003

We apply the formula as seen in the attachment below

Kindly understand that we are to calculate the Z upper and Z lower

The smallest value between the two will be our Z minimum

This is what we shall apply in the capability index formula which mathematically is;

Z minimum/3

From calculation:

Z lower = Z upper = 2.67

So therefore;

capability index = 2.67/3 = 0.889

4 0

3 years ago

Rachel bought a book for $5.49 And a game for $10.98. She paid with a $20 bill. Which is the best estimate of the amount of chan

Inessa05 [86]

Rachel will have about $3.53 in change---------

7 0

3 years ago

Read 2 more answers