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rewona [7]
3 years ago
8

Graph the function and identify the domain and range. y = 0.5x2 A. domain: range: B. domain: range: C. domain: range: D. domain:

range:
Mathematics
1 answer:
vivado [14]3 years ago
4 0
The graph would be a parabola which passes through the origin and opens upwards
The domain is all Real x.

The range is  y >= 0
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Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages
Alika [10]

Answer:

Kerry = 2/3 * 420 = 280

David = 3/4 * 420 = 315

David read more pages compared to Kerry.

3 0
3 years ago
2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s paymen
grigory [225]

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is<u> $396.</u>

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

  • A portion going towards the principal(debt )
  • A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

<em>Find out more at brainly.com/question/12256592. </em>

7 0
3 years ago
If (x, y) is a solution to the system of equations, what is the value of x? 2x + 1/ 2 y = 2 1/ 2 x + 2y = 6
Veseljchak [2.6K]

Answer:

  C) 4/15

Step-by-step explanation:

The two equations ...

  • 2x + 1/2y = 2
  • 1/2x + 2y = 6

can be solved for x using Cramer's rule:

  x = (2·2 -1/2·6)/(2·2 -1/2·1/2) = (4-3)/(4-1/4) = 1/(15/4)

  x = 4/15

_____

Cramer's rule for the solution to ...

  • ax +by = c
  • dx +ey = f

is ...

  • ∆ = ae-db
  • x = (ce -fb)/∆
  • y = (fa-dc)/∆
6 0
3 years ago
I need help someone help me plz <br>​
Tamiku [17]

Answer:

d -w-n²

Step-by-step explanation:

dollars not dollar so n square

3 0
3 years ago
Read 2 more answers
Show work and explain with formulas.
Natasha_Volkova [10]

23 Answer:  \bold{\dfrac{29,524}{9}}

<u>Step-by-step explanation:</u>

\dfrac{1}{9}+\dfrac{1}{3}+1+...+2187\\\\\\a_1=\dfrac{1}{9}=3^{-2}\qquad r=3\qquad a_n=2187\\\\\underline{\text{Find n:}}\\a_n=a_1\cdot r^{n-1}\\2187=3^{-2}(3)^{n-1}\\2187=3^{n-3}\\3^7=3^{n-3}\\7=n-3\\10=n

\underline{\text{Find the sum:}}\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\S_{10}=\dfrac{\frac{1}{9}(1-3^{10})}{1-3}\\\\\\.\quad =\dfrac{1-59,049}{(9)(-2)}\\\\\\.\quad =\dfrac{-59,048}{9(-2)}\\\\\\.\quad =\large\boxed{\dfrac{29,524}{9}}

24 Answer:  \bold{\dfrac{364}{9}}

<u>Step-by-step explanation:</u>

a_1=27\qquad r=\dfrac{1}{3}\qquad n=6\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\S_6=\dfrac{27(1-\frac{1}{3}^6)}{1-\frac{1}{3}}\\\\\\.\quad =\dfrac{27(\frac{728}{729})}{\frac{2}{3}}\\\\\\.\quad =\dfrac{27(728)}{729}\cdot \dfrac{3}{2}\\\\\\.\quad =\large\boxed{\dfrac{364}{9}}

25 Answer:  n=7

<u>Step-by-step explanation:</u>

\{-6,\ -12,\ -24,\ ...\ \}\\\\a_1=-6\qquad r=2\qquad S_n=-762\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\-762=\dfrac{-6(1-2^n)}{1-2}\\\\\\-762=\dfrac{-6(1-2^n)}{-1}\\\\\\\dfrac{-762}{6}=1-2^n\\\\-127=1-2^n\\\\-128=-2^n\\\\128=2^n\\\\2^7=2^n\\\\\large\boxed{7=n}

3 0
3 years ago
Read 2 more answers
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