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katovenus [111]
2 years ago
8

Nadia has a $15 gift card to an online music store. Each song at the store costs $0.99. The equation m = 15 - 0.99s represents t

he amount of money, m, Nadia has left on the gift card after buying 5 songs. a.
The independent variable is b.


How does the amount of money left on the card change for each extra song Nadia buys?


Show your work. and the dependent variable is​

Mathematics
1 answer:
ololo11 [35]2 years ago
5 0

Answer:

All I know is she had 10.05 left

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Solve for x given the point (x,9) is a point on the line y = 3x + 7.
Ket [755]

Answer:

0.67 = x

Step-by-step explanation:

to solve the value of x we need to : (x,9)

y = 3x + 7

9 = 3x + 7

9 - 7 = 3x

2 = 3x

2/3 = x

0.67 = x

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3 years ago
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Solve for x.
alexandr402 [8]

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Find the area.<br> 11 cm<br> 8 cm<br> 7 cm
HACTEHA [7]
66.5cm

Split the shape into a square and triangle and find the area separately

Square: 8*7=57
Triangle: 7*3/2 = 10.5
=66.5

7 0
3 years ago
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<img src="https://tex.z-dn.net/?f=f%20%3D%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20" id="TexFormula1" title="f =(x) = \frac{x}{4}
Inga [223]

Answer:

g(x) = \frac{x+3}{x-3}

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \frac{2x}{(x-3)}

g(x) = \frac{2x}{(x-3)}-1

      = \frac{2x-(x-3)}{(x-3)}

      = \frac{(x+3)}{(x-3)}

Therefore, g(x) = \frac{x+3}{x-3} will be the answer.

5 0
2 years ago
A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
2 years ago
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