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zimovet [89]
3 years ago
11

Find (f-g)(x) when f(x)=3x+2 g(x)=2x^2-4 h(x)=x^2-x+7

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0
(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6
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soldier1979 [14.2K]

Answer:

Reference angle is \frac{\pi }{4} and tan\frac{7\pi }{4} = -1

Step-by-step explanation:

\frac{7\pi }{4} lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.


and reference angle for \frac{7\pi }{4} is  

2π-\frac{7\pi }{4} = \frac{\pi }{4}

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Since tan is negative in 4th quadrant ,therefore value will be  negative for the given angle.


7 0
3 years ago
A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800
AURORKA [14]
Assign variables to you unknowns.

c = $ cars
t = $ trucks

6c + 3t = 4800
8c + t = 4600

use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $

use this in one of the equations to find the cost of a truck.

8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
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question asks
2(500) + 3(600) =
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3 0
3 years ago
A store pays $365.84 for a fountain. The store marks up the price by 10%.
Ann [662]

Answer:

The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

Step-by-step explanation:

Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:

365.84 x 10/100 = X

3,658.4 / 100 = X

36,584 = X

36.584 + 365.84 = 402.424

Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

4 0
3 years ago
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iragen [17]

Answer:

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Step-by-step explanation:

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