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Klio2033 [76]
3 years ago
12

F(x) = –22 + 10x – 2 Find f(-5)

Mathematics
1 answer:
stepan [7]3 years ago
7 0
F(-5) is -74
Substitute the -5 in for x and solve
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A Broadway theater has 400 ​seats, divided into​ orchestra, main, and balcony seating. Orchestra seats sell for $ 80 comma main
Tomtit [17]

Answer:

80 orchestra seats

180 main seats

140 balcony seats

Step-by-step explanation:

Total number of seats = 400

Orchestra seats sell for $80

Main seats sell for $65

Balcony seats sell for $40

If all the seats are sold, gross revenue = $23,700

If all the main seats and balcony seats are sold but only half of the orchestra seats are sold, the gross revenue = $20,500

Let x = Orchestra seats

Let y = main seats

Let z = balcony seats

x+y+z= 400............. (1)

Orchestra seats sell for $80, Main seats sell for $65 and bslcony seats sell for $40. The gross revenue if all the seats are sold = $23,700

80x + 65y + 40z = 23,700 ........(2)

If half of the orchestra seats are sold while all main and balcony seats are sold, we have

80(0.5x) + 65y+ 40z = 20,500

40x + 65y + 40z = 20,500 .....(3)

we have the simultaneous equations

x+y+z= 400............. (1)

80x + 65y + 40z = 23,700 ........(2)

40x + 65y + 40z = 20,500 .....(3)

Using elimination method to solve equation 2 and 3, we subtract equation 3 from 2

40x = 3200

x = 3200/40

x = 80 orchestra seats

Put x= 80 into equation 1 and 2

From equation 1,

x +y+z = 400

y + z = 400 - x

y+z = 400 -80

y+z = 320 .........(4)

From equation 2,

80x + 65y + 40z = 23,700

80(80) + 65y +40z = 23,700

6400 + 65y + 40z = 23,700

65y+40z = 23,700 - 6400

65y + 40z = 17,300 .........(5)

Multiply equation (4) by 40 and equation (5) by 1

So we have

40y + 40z = 12,800

65y + 40x = 17,300

subtract both equations from each other. we have

-25y = -4500

y = -4500/-25

y = 180 main seats

Put x = 80 and y= 180 into equation (1)

80+180+z = 400

260 + z = 400

z = 400-260

z = 140 balcony seats

6 0
3 years ago
Solve the system with elimination.3x + y = 9x + 2y = 3
NikAS [45]

In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:

\begin{cases}-6x-2y=-18 \\ x+2y={3}\end{cases}

Now, adding the equations, we have:

\begin{gathered} -6x-2y+x+2y=-18+3\\ \\ -5x=-15\\ \\ x=\frac{-15}{-5}\\ \\ x=3 \end{gathered}

Now, calculating the value of y, we have:

\begin{gathered} x+2y=3\\ \\ 3+2y=3\\ \\ 2y=0\\ \\ y=0 \end{gathered}

Therefore the solution is (3, 0).

5 0
1 year ago
Please help me. Need it.
Lunna [17]
Hey There!
win 10 lose 12
win 15 lose 18

5×2=10, 6×2=12
5×3=15, 6×3=18

Hope This Helps!!!
4 0
3 years ago
What is the simplified form of the quantity of x plus 7, all over the quantity of x plus 3 + the quantity of x minus 4, all over
allochka39001 [22]

\frac{3x + 21}{4x + 5}
3 0
3 years ago
A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover
padilas [110]

Answer:

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

                                                                                         = 64π square feet

Therefore, Option (3) will be the answer.

3 0
3 years ago
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