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3 years ago

4. The cost of a new house is being reduced 22%

1 answer:

3 0

1. Ok so first I would find 22% of 212,000 to do that you do: 22 divide 100 = 0.22

2. Now that you’ve turned 22% into a decimal as 0.22 you find what 22% of 212,000 is like so: 0.22x212,000 =46,640

3. Now that you have to reduce 212,000 but 22% to do this you just subtract: 212,000-46,640= 165,360

They would purchase the house for $165,360

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Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

Read 2 more answers

What is the value of x?

Aliun [14]

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

7 0

3 years ago

HeLp pLzZzZzZzZzZzZzZzZzZ

Gnoma [55]

Answer:

Step-by-step explanation:

Problem One (left panel)

Question A

The y intercept happens when x = 0
That being said, the y intercept is 50. It was moving when the timing began.

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.

Question C

60 = a + (n-1)d
60 = 50 + (n - 1)*2
10/2 = (n - 1)*2/2
5 = n - 1
6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

f(0) = ax + b
-3 = a*0) + b
b = - 3
So far what you have is
f(x) = ax - 3
f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- 6 = a(-1) - 3 add 3 to both sides
-6 +3 = a(-1) -3 + 3
-3 = a*(-1) Divide by - 1
a = 3
f(x) = 3x - 3 Answer for f(x)
The slope of f(x) = the coefficient in front of the x
f(x) has a slope of 3
g(x) has a slope of 4

Part B

f(x) has a y intercept of - 3
g(x) has a y intercept of -5
f(x) has the greater y intercept.
-3 > - 5

7 0

3 years ago

36 is 0.09% of what number

alexgriva [62]

Х-100%
36-0,06%
x=(36*100)\0,06=60000
Answer:60000

8 0

3 years ago

Each time Sarah went to the Candy Shoppe, she bought b bags of M&Ms. Write an expression for how many bags she will buy if s

andrey2020 [161]

Answer:

$b \times 2$

Step-by-step explanation:

The reason is because you don't know the Inital amount she bought and because she visits two days in a row you would multiply

6 0

1 year ago