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butalik [34]
3 years ago
12

What is the value of the expression 18-2x(4+3)

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

12-8x

Step-by-step explanation:

18-2x(4+3) =

18 -8x -6 =

12 -8x

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Liula [17]

Answer:

C.The third option

Step-by-step explanation:

The greater than means more so in this case you are getting positive profit

7 0
3 years ago
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What are the zeros of f(x) = x2 + 3x – 10?
Nady [450]
Step One
Factor f(x)
f(x) = (x + 5)(x - 2)

Step Two
The zeros occur when either (x + 5) = 0 or (x - 2) = 0

x + 5 = 0
x = -5

x - 2 =0
x = 2

Step 3
Record the zeros
(-5,0) or (2,0) <<<<<< answer.
3 0
3 years ago
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the pat
BigorU [14]

Answer:

C 315

Step-by-step explanation:

(12 + 30) * 15/2 = 315

5 0
2 years ago
The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1<br> miles.
beks73 [17]

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

8 0
3 years ago
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