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lbvjy [14]
3 years ago
8

A sporting goods store is having a sale. A pair of skates normally sells for

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

  $150

Step-by-step explanation:

The discounted price is ...

  $200 - 25% × $200

  = $200(1 -25%) = $200×0.75

  = $150

The discounted price is $150.

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2 years ago
What value does ​f(x,y) = (x + 2y)/(x -2y) approach as​ (x,y) approaches​ (0,0) along the​ x-axis?
WARRIOR [948]

Answer:

B. ​f(x,y) has no limit and does not approach infinity or minus infinity as​ (x,y) approaches​ (0,0) along the​ x-axis.

Step-by-step explanation:

Given the function

​f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0)  f(x,y) = lim (x,mx) → (0, 0)  f(x, mx)

⇒  lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

If

y = x²

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

If

y = x³

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that ​f(x,y) has no limit since the limits obtained are different.

4 0
3 years ago
ABC city residents vote on construction of a new playground. The number of votes in favor of playground was 3500
zubka84 [21]

Answer:

70% in favor of building a new playground  

<em>3500 (</em><em>in favor</em><em>) + 1500 (</em><em>against it</em><em>) = 5000 (</em><em>total number votes</em><em>)</em>

<em />

<em>3500 (</em><em>in favor</em><em>)                                              1500 (</em><em>against it</em><em>)</em>

<em> -------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%</em>

<em>5000 (</em><em>total</em><em>)                                                      5000 (</em><em>total</em><em>)            </em>

8 0
2 years ago
7 is a factor of which number?<br> 28<br> 16<br> 11<br> 4 4
maw [93]

Answer:

28

Step-by-step explanation:

28 = 7 x 4

So,

7 is a factor of 28.

6 0
2 years ago
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