a community has a population of 18,242 and average total daily water use of 11,757 with $ (-) 20 \% $ variations. calculate (to 2 decimal points) the the minimum supply of water per capita (unit: \

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A parabola opens upward. The parabola goes through the point (3,-1),and the vertex is at (2,-2).

Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.

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The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A

The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:

y = A(x - 2)² - 2

We can plug the point (3,-1) into this equation to find the value of A.

-1 = A(3 - 2)² - 2

Simplifying the right side of the equation, we get:

-1 = A - 2

Adding 2 to both sides of the equation, we get:

1 = A

Therefore, the value of A is 1.

Writing the equation of the parabola

The equation of the parabola is:

y = (x - 2)² - 2

To know more about parabola:

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Answer:

a=1

Step-by-step explanation:

Hopefully this helps :)

Given cos alpha = 8/17, alpha in quadrant IV, and sin beta = -24/25, beta in quadrant III, find sin(alpha-beta)

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Given $\cos\alpha=(8)/(17)$ , $\alpha$ is in Quadrant IV, $\sin\beta=-(24)/(25)$ , and $\beta$ is in Quadrant III, find $\sin(\alpha-\beta)$

We can use the angle subtraction formula of sine to answer this question.

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

We already know that $\cos\alpha=(8)/(17)$ .

We can use the Pythagorean identity $\sin^2\theta+\cos^2\theta=1$ to find $\sin\alpha$ .

$\sin^2\alpha+((8)/(17))^2=1 \n \sin^2\alpha+(64)/(289)=1 \n \sin^2\alpha=(225)/(289) \n \n\sin\alpha=\pm(15)/(17)$

Since $\alpha$ is in Quadrant IV, and sine is represented as y value on the unit circle, we must assume the negative value $\sin\alpha=-(15)/(17)$ .

As similar process is then done with $\sin\beta=-(24)/(25)$ .

$(-(24)/(25))^2+\cos^2\beta=1 \n (576)/(625)+\cos^2\beta=1 \n \cos^2\beta=(49)/(625) \n \n\cos\beta=\pm(7)/(25)$

And since $\beta$ is in Quadrant III, and cosine in represented as x value on the unit cercle, we must assume the negative value $\cos\beta=-(7)/(25)$ .

Now we can fill in our angle subtraction formula!

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta \n\n \sin(\alpha-\beta)=(-(15)/(17)*-(7)/(25))-((8)/(17)*-(24)/(25)) \n\n\sin(\alpha-\beta)=(105)/(425)-(-(192)/(425)) \n\n \boxed{\sin(\alpha-\beta)=(297)/(425)}$

Marissa created a graph to show her hair growth since her last haircut. Which table represents the same relationship?

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Answer:

I believe the answer is D

Step-by-step explanation:

I took the quiz on edge, the answer is D :)

Answer:

soo the table isnot here but look for the one that has the nnumbers going up if its a graph the / that is the way of te numbers but \ is going down soo aviod

if posible

Step-by-step explanation:

....

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg

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If you would like to know what represents the final price of a gaming system with the discount and taxes applied, you can calculate this using the following steps:

p(g) = 0.8 * g
c(p) = 1.12 * p

1.12 * p = 1.12 * 0.8 * g = 0.896 * g = c(p(g)) = c[p(g)]

The correct result would be c[p(g)] = 0.896g.

Answer:

B c[p(g)] = 0.896g

Step-by-step explanation:

I NEED SOME REALLY FAST HELP Which value of x is in the solution set of 2|x – 3| < 4?A.
x = 8
B.
x = 0
C.
x = 4
D.
x = –1

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Well I don't know. Let me check them and find out. In fact, let's you and me both together check them and find out. When we're done, you'll see that you could have done that on your own, and you'll know how to do it on your own next time you run into a similar problem.

How can you take a value of 'x' and see whether it's a solution to an equation ?
Just write the value in place of 'x' in the equation, and see whether that makes
the equation a true statement.

The equation is   2 |x-3| < 4 .
We'll test each choice against that equation.

Remember what |a number| means ?
It means the raw size of that number, without worrying about
whether it's a positive or negative number.
In other words, it just means take the number inside the bars
and throw away the sign. Just call it a positive number.

First choice: x=8
Try it out: 2 |x-3| < 4
   2 |8-3| < 4
   2 | 5 | < 4
   10    < 4 <--- That is not a true statement.
   So x=8 is not a solution to the equation.

Second choice: x = 0
Try it out: 2 |x-3| < 4
   2 |0-3| < 4
   2 | -3 | < 4
Remember |-3| is just 3.
   2 ( 3 ) < 4
   6 < 4   <--- That is not a true statement.
     So x=0 is not a solution to the equation.

Third choice: x = 4
Try it out: 2 |x-3| < 4
   2 |4-3| < 4
   2 | 1 |   < 4
   2 < 4 <--- That is a true statement.
      So x=4 is a solution to the equation.

It may not be the only one.
    We still need to check out the remaining choice.

Fourth choice: x = -1
Try it out: 2 |x-3| < 4
   2 |-1-3| < 4
   2 | -4 | < 4
Remember that | -4 | is just 4 .
   2 (4) < 4
   8 < 4 <--- That is not a true statement.
   So x= -1 is not a solution to the equation.

There are a huge number of solutions to the equation.
But there are also a huge quantity of numbers that are not solutions.
Out of the choices that were given, only one of them worked.

Choice 'C': x = 4 .

2/ x - 3 / < 4;
/ x - 3 / < 2 ;
-2 < x - 3 < 2;
1 < x < 5 ;
Just 4 verify 1 < 4 < 5 ;
The correct answer is C. x = 4 ;

A -In 2000 , The United States government owed about $5.63 trillion to its creditors . The population of the United States was 282.4 million people . How much did the government owe per person in 2000 / Round to the nearest dollarB) In 2005 , the bebt had growth to $7.91 trillion , with a population of 296.9 million
How much did the government owe per person ? Round to the nearest dollar.

c- What was the percent increase in the average amount owed per person from 2000 to 2005 ?

Thank you my friend ! please make sure you answer with all the step and information .

Answers

A

5.63 trillion=5.63 million, million

how much per person is
282.4 million
(5.63million, million)/(282.4 million)=(5.63 million)/(282.4)= (5,630,000)/(282.4)=19936.2
round
$19,936 per person

B same thing

7.91 trillion=7.91 million, million

how much per person is
296.9 million
(7.91million, million)/(296.9 million)=(7.91 million)/(296.9)= (7,910,000)/(296.9)=26641.9
round to nearest dollar
$26642

C. increase from
19,936 to 26,642
find difference
26,642-19,936=6706
percent increase=increase/original=6706/19936=0.336/1
percent means parts out of 100
.336/1 times 100/100=33.6/100=33.6%
aprox 34%

A. $19,936
B. $26,642
C. 33.6%

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a community has a population of 18,242 and average total daily water use of 11,757 with \( (-) 20 \% \) variations. calculate (to 2 decimal points) the the minimum supply of water per capita (unit: \

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