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2 years ago

5.1.2 Exam: Semester 2 Exam

Mathematics

1 answer:

Nikolay [14]2 years ago

8 0

Answer:

See attached picture to view the graph

Step-by-step explanation:

Start by analyzing how this average idea works:

If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.

If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.

Notice that the general function that represents such average will be given by: $f(x) = \frac{1000+200x}{x}$

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.

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Select the correct answer. What is the solution to the equation?

Ierofanga [76]

Answer:

Step-by-step explanation:

$\sqrt{x}$ + 6 = x ( subtract 6 from both sides )

$\sqrt{x}$ = x - 6 ( square both sides )

x = (x - 6)² ← expand using FOIL

x = x² - 12x + 36 ( subtract x from both sides )

0 = x² - 13x + 36 , that is

x² - 13x + 36 = 0 ← in standard form

(x - 4)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 4

left side = $\sqrt{4}$ + 6 = 2 + 6 = 8

right side = x = 4

Since 8 ≠ 4 then x = 4 is an extraneous solution

x = 9

left side = $\sqrt{9}$ + 6 = 3 + 6 = 9

right side = x = 9

Thus the solution is x = 9 → B

8 0

2 years ago

Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a

velikii [3]

Answer:

Remember that when you are making stimates, you are going to roiund to the nearest dollar. Since $3.29 is closer to 3 dollars than four dollars, Sam should use the 3 dollars figure to estimate if he can afford 4 gallons of gas.

$3+$3+$3+$3=$12

The actual value is , so $3 per gallon is indeed a god estimate.

We can conclude that the correct answer is: $3 + $3 + $3 + $3 = 12, so Sal can afford the gas.

If this helped please rate and to be marked brainliest answer would be appreciated

Step-by-step explanation:

7 0

2 years ago

A cylinder contain 150.8 cubic units of water. What is the minimum radius of a sphere that will hold the water? Round to nearest

Oksi-84 [34.3K]

70 because you would divide 150.8 by 2 and it gives you 75.4 but you have to round it and do v=4/3×3.14×70^3

6 0

2 years ago

If x = -12, y = -3; find xy?

wolverine [178]

Given that :- 

x = -12
y = -3

To Find :- 

Value of xy

Solution :- 

☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

3 0

3 years ago

Read 2 more answers

2 2/4 devided by 1/6

lara31 [8.8K]

(15 is your answer)

Divide numerator by denominator, cancel out any common factors

5 0

3 years ago