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zavuch27 [327]
3 years ago
8

An item that was selling for $80 is reduced to $42. Find the percent decrease in

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

47.5%

Step-by-step explanation:

You have to first subtract 80 and 42 to find the decrease first. This is 38. Now, you have to divide this by the original number which is 80. So 38 divided by 80 is 0.475.

Now multiply this by 100.

You can easily move the decimal point to the right.

So you would get 47.5%

Hope this helped!

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B. to the right of 0

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Which of the following algebraic expressions represent the word phrase "seven subtracted from a number"?
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What is the equation for the parabola that<br> has a focus at (-7, 6) and a directrix of x<br> 1?
Ne4ueva [31]

Answer:

Step-by-step explanation:

Parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

(

x

,

y

)

. Here focus is

(

7

,

5

)

and distance from focus is

√

(

x

−

7

)

2

+

(

y

−

5

)

2

. Its distance from directrix

y

=

−

3

i.e.

y

+

3

=

0

is

|

y

+

3

|

.

Hence equaion of parabola is

(

x

−

7

)

2

+

(

y

−

5

)

2

)

=

|

y

+

3

|

2

or

x

2

−

14

x

+

49

+

y

2

−

10

y

+

25

=

y

2

+

6

y

+

9

or

x

2

−

14

x

+

65

=

16

y

i.e.

y

=

1

16

(

x

2

−

14

x

+

49

−

49

)

+

65

16

or

y

=

1

16

(

x

−

7

)

2

+

65

−

49

16

or

y

=

1

16

(

x

−

7

)

2

+

1

Hence parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}

3 0
2 years ago
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