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vagabundo [1.1K]
2 years ago
5

What is the range of the function graphed below? ​

Mathematics
1 answer:
Naddik [55]2 years ago
6 0
I believe it is the second on, as the range will always be Y
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The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th
mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = \frac{Amount\ of\ discount}{Original\ price}*100

Discount percent = \frac{6.60}{32.99}*100 = 0.20*100

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = \frac{8}{100}*26.39 = 0.08*26.39

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0
2 years ago
Find x, y, and z for this triangle​
vodomira [7]
B C D because you find it closer
7 0
2 years ago
3/24 in lowest terms
lesya [120]

3/4 =3/4

4/6= 2/3

8/18= 4/9

9/15=3/5

7/21= 1/3

10/12= 5/6

4/8= 1/2

10/16=5/8

15/20= 3/4

3/30=1/10

7 0
3 years ago
How do you find the area of the base in a cylinder
Llana [10]

Answer:

area is easy because its always the  Length times the Width of something  so after you get the area you times it by the base which is the bottom part of the cylinder

Step-by-step explanation:

so you would just get the length and the Width and multiply them and... theres your answer!

6 0
2 years ago
Implicit differentiation Please help
Anvisha [2.4K]

Answer:

y''(-1) =8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Quotient Rule: \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

  1. Implicit Differentiation [Product Rule/Basic Power Rule]:                            -y - xy' - 2y' = 0
  2. [Algebra] Isolate <em>y'</em> terms:                                                                               -xy' - 2y' = y
  3. [Algebra] Factor <em>y'</em>:                                                                                       y'(-x - 2) = y
  4. [Algebra] Isolate <em>y'</em>:                                                                                         y' = \frac{y}{-x-2}
  5. [Algebra] Rewrite:                                                                                           y' = \frac{-y}{x+2}

<u>Step 3: Find </u><em><u>y</u></em>

  1. Define equation:                    -xy - 2y = -4
  2. Factor <em>y</em>:                                 y(-x - 2) = -4
  3. Isolate <em>y</em>:                                 y = \frac{-4}{-x-2}
  4. Simplify:                                 y = \frac{4}{x+2}

<u>Step 4: Rewrite 1st Derivative</u>

  1. [Algebra] Substitute in <em>y</em>:                                                                               y' = \frac{-\frac{4}{x+2} }{x+2}
  2. [Algebra] Simplify:                                                                                         y' = \frac{-4}{(x+2)^2}

<u>Step 5: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

  1. Differentiate [Quotient Rule/Basic Power Rule]:                                          y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}
  2. [Derivative] Simplify:                                                                                      y'' = \frac{8}{(x+2)^3}

<u>Step 6: Find Slope at Given Point</u>

  1. [Algebra] Substitute in <em>x</em>:                                                                               y''(-1) = \frac{8}{(-1+2)^3}
  2. [Algebra] Evaluate:                                                                                       y''(-1) =8
6 0
3 years ago
Read 2 more answers
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