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larisa [96]
3 years ago
6

at tennis practice, tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his s

erve and practices his serve more than 1/2 hour daily. Which system of inequalities represents Tim's daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve? (1 point)
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0
For the answer to the question above, Tim practices his backhand and his serve at least 2 hours each day this means X =< 2 ( less than or equal to 2 hrs). He works less on his backhand than his serve and practices his serve more than an hour daily.  <span>Y < 1</span>
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I need help please with this 1 problem
Lyrx [107]

Answer:

See below, please

Step-by-step explanation:

We know

f(x) =  {x}^{2}  + 3x - 7

g(x) = 3x + 5

h(x) = 2 {x}^{2}  - 4

Hence

f(g(x))

=  {(3x + 5)}^{2}  + 3 \times (3x + 5) - 7

= (9 {x}^{2}  + 30x + 25) + (9x + 15) - 7

= 9 {x}^{2}  + 39x + 33

h(g(x))

= 2 \times  {(3x + 5)}^{2}  - 4

2 \times (9 {x}^{2}  + 30x + 25) - 4

= 18 {x}^{2}  + 60x + 50 - 4

= 18 {x}^{2}  + 60x + 46

(h - f)(x)

= h(x) - f(x)

= (2 {x}^{2}  - 4) - ( {x}^{2}  + 3x - 7)

=  {x}^{2}  - 3x + 3

(f + g)(x)

= f(x) + g(x)

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5 0
2 years ago
1. Find the function f (x) =ax2 + bx+ c whose graph contains the points (1, 2), (-2,-7), and (2, -3). Write the system of equati
IRISSAK [1]

Answer:

1. The function is -2x^2 + x + 3.

Step-by-step explanation:

1. The point at (1,2) gives the equation:

a * (1^2) + 1b + c = 2

a + b + c = 2

The point at (-2,-7) gives the equation:

a * (-2^2) + (-2b) + c = 7

4a - 2b + c = -7

The point at (2,-3) gives the equation:

a * (2^2) + 2b + c = -3

4a + 2b + c = -3

Hence, all three equations are:

a + b + c = 2  

4a - 2b + c = -7  

4a + 2b + c = -3

Now, subtract the second equation from the third equation to get:

(4a + 2b + c) - (4a - 2b + c) = -3 - (-7)

4a - 4a + 2b + 2b + c - c = -3 + 7

4b = 4

b = 1

Hence, let's now update our previous equations:

a + 1 + c = 2         =>         a + c = 1

4a - 2(1) + c = -7         =>         4a + c = -5

4a + 2(1) + c = -3         =>         4a + c = -5

This can be further whittled down into two equations:

a + c = 1

4a + c = -5

Hence, we can now subtract the first equation from the second to get:

(4a + c) - (a + c) = -5 - 1

4a - a + c - c = -6

3a = -6

a = -2

Therefore, c = 3 (a + c = 1, -2 + c = 1, c = 1 + 2, c = 3).

And the function is -2x^2 + x + 3.

Hope this helped!

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She will have to use 6 teaspoon
6 0
3 years ago
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