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krek1111 [17]
3 years ago
14

What is the value of y? Circle the correct answer.

Mathematics
1 answer:
Svetach [21]3 years ago
6 0
The correct answer to this is: Y=47
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Inverse of f(x) = x2 − 9
luda_lava [24]
To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:

x = y^{2} - 9

Add 9 to both sides:

y^{2} = x + 9

Square root both sides to get y by itself:

y = \sqrt{x+9}

This equation can be simplified by taking the square root of 9 out of the root:

\sqrt{9} = 3
y = 3 + \sqrt{x}

The inverse of this function is y = 3 + √x.
7 0
3 years ago
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A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli
rewona [7]

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

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3 years ago
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I need help with solving 378+16 but it is adding using groups of 10 and 100
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394 is the answer using addition
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the fifth graders were given sandwiches for lunch during their field trip nathan ate 5/6 of his sandwich, leroy ate 7/8 of his s
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Leroy and Natham because they both had 1 piece left
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-2(4x-1 )+3= -3(x+5) <br> can anyone help me solve this
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The answer to this equation is x=4. 
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