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insens350 [35]
3 years ago
14

How many solutions does this system have?

Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

One solution since x=0

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Find the product of (3x + 7y)(3x − 7y)
nalin [4]

Answer:

9x^2 - 49y^2

Step-by-step explanation:

7 0
3 years ago
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The equation p=100−4t represents the percent p of battery power remaining in an MP3 player after t hours.
fenix001 [56]

Answer:

Step-by-step explanation:

Here time (t) is the independent variable; power (p) is the dependent one.

The graph of p = 100 - 4t is a straight line with slope -4.  100 is the vertical intercept.  Battery power begins at 100 and steadily decreases after that.

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3 years ago
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Mumz [18]

Answer:

Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

Step-by-step explanation:

The equation of the curve is

Y = sin^{-1}(7x)

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

Y'=\frac{7}{\sqrt{1-49x^2} }

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  x = \sqrt{\frac{1}{7} }

Then slope would accordingly be

Y'=\frac{7}{\sqrt{1-49/49} }

= ∞

For, x = \sqrt{\frac{1}{7} }, Y = sin^{-1}(7/7)= \pi/2

Equation of tangent line, in the point slope form, would be Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

4 0
3 years ago
Luke is going to a carnival that has games and rides. Each game costs $3.50 and each ride costs $4.50. How much would Luke have
Svetach [21]

Answer:

28$ games and 45$ for rides so 73$

Step-by-step explanation:

7 0
3 years ago
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Happy Paws charges $20.00 plus $5.50 per hour to keep a dog during the day. Woof Watchers charges $9.00 plus $6.75 per hour. Com
marta [7]

Answer:

8.8 hours

Step-by-step explanation:

Happy paws cost equation

5.50h + 20

Wood watchers cost equation

6.75h + 9

Make the two equations equal

5.50h+20 = 6.75h+ 9

Collect the co-efficient of both sides.

6.75h- 5.50h= 20-9

1.25h= 11

Divide both sides by the coefficient of h

1.25h/1.25= 11/1.25

h= 8.8

5 0
3 years ago
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