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3 years ago

Use f(x) =1/2 x and f^-1(x)=2x to solve the problems

Mathematics

2 answers:

11111nata11111 [884]3 years ago

6 0

Answer:

F(2)= 1

F^-1(1)= 2

F^-1(f(2))= 2

Step-by-step explanation:

MAXImum [283]3 years ago

4 0

The answer to the question

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a store received 500 containers of milk to be sold by Febuary 1. Each container the store sold $0.83 and sold for $1.67. The sto

FrozenT [24]

$409.80.

The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.

However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:

500-470 = 30 containers not sold
30(0.50) = 15

So the total profit is $394.80 + 15 = $409.80.

6 0

3 years ago

A number times six plus the same number times two

Travka [436]

Answer:

6x +2x

Step-by-step explanation:

when the number= x, you can just form the equation as per usual. 6x = a number times 6; 2x = a number times 2.

x is used bc the number is an unknown value. only x can be used bc it is stated the same number. hsing different alphabets such as y or z indicates the unknown value ia different.

6 0

3 years ago

Read 2 more answers

Which equation demonstrates the additive identity property?

Bezzdna [24]

Answer:

Step-by-step explanation:

Solve for o in the equation (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 41o(7 + 4)(1) = 7 + 41o(7 + 41) + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 41o(7 + 4): Distribute the 41o to each term in (7+4)

41o * 7 = (41 * 7)o = 287o 41o * 4 = (41 * 4)o = 164o

Our Total expanded term is 287o + 164o

Simplify 41o(7 + 41): Distribute the 41o to each term in (7+41)

41o * 7 = (41 * 7)o = 287o 41o * 41 = (41 * 41)o = 1681o

Our Total expanded term is 287o + 1681o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o(1) = 7 + 287o + 1681o + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 164o(1): Distribute the 164o to each term in (1)

164o * 1 = (164 * 1)o = 164o Our Total expanded term is 164o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o = 7 + 287o + 1681o + ( - 7 - 41) = 0

Step 1: Group variables: We need to group our variables (7 and 14©(7. To do that, we subtract 14©(7 from both sides (7 - 14©(7 = 14©(7 - 14©(7

Step 2: Cancel 14©(7 on the right side: 0o = 0 Step 3: Divide each side of the equation by 0

0o 0 = 0 0 o =

5 0

3 years ago

Read 2 more answers

Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%, what is the cost of the bonds

soldi70 [24.7K]

The cost of the bond
6×1,000×0.92=5,520

4 0

3 years ago

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A lighthouse is built on an exposed reef, 4.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6 mile

Alisiya [41]

Answer: 3.94 hours

Step-by-step explanation:

From the question, the following parameters are given:

Distance offshore = 4.5 miles

Distance downshore = 6 miles

Speed when running = 3.4 mph

Speed with boat = 1.8 mph

distance of boat rowing = sqrt(4.5^2 + x^2)

Where

Speed = distance/time

Time = distance/speed

Time = distance of boat rowing/1.8

distance of running = 6 - x

Time = (6-x)/3.4

total travel time

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

dt/dx = x/(1.8×sqrt(4.5^2 + x^2) - 1/3.4

d^2t/dx^2 = +ve at any x

x is at its minimum when dt/dx=0

x/(1.8×sqrt(4.5^2 + x^2) = 1/3.4

x = 6/sqrt(253) × 4.5 = 1.697 miles

Substitute x in

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

We obtaine

t = sqrt(4.5^2 + 1.697^2)/1.8 + (6 - 1.69)/3.4

t = 2.672+ 1.266 = 3.94 hours

7 0

3 years ago