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Strike441 [17]
2 years ago
10

Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the orig

inal price of the cards. What is the final cost of the cards
Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Answer:

Final cost = 0.9328y

Step-by-step explanation:

Assume,

Original price = y

Given:

Discount = 22%

Sales tax = 6%

Computation:

Sales tax will be added on sale value

So,

Sales price = y[100%-22%]

Sales price = 0.88y

Price after sales tax :

Final cost = 0.88y[100% + 6%]

Final cost = 0.88y[106%]

Final cost = 0.9328y

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Step-by-step explanation:

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Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts
MaRussiya [10]

9514 1404 393

Answer:

  x = -7, x = 9

Step-by-step explanation:

We presume your equation is ...

  x² -2x -63 = 0

Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...

  (x -9)(x +7) = 0

Solutions make the factors zero.

  x -9 = 0   ⇒   x = 9

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The solutions to the quadratic equation are x = -7 and x = 9.

7 0
2 years ago
Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the
alukav5142 [94]

Answer:

  a) y = |x/2 -2| +4

  b) y = |x/2 -2| +2

  c) y = |(x+1)/2 -2| +3

  d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

  g(x) = f(x -h) +k

<u>a) one unit up</u>

Add 1 to the function value.

  y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}

<u>b) one unit down</u>

Subtract 1 from the function value.

  y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}

<u>c) one unit left</u>

Replace x with x-(-1).

  y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}

<u>d) one unit right</u>

Replace x with x-1.

  \boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}

7 0
3 years ago
(2x-20) + 86 what is the the value of x
julsineya [31]
When (2x-20)+86=0
2x-20=-86
2x=-46
x=-23
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