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Ad libitum [116K]
3 years ago
8

The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

(4, -3)

Step-by-step explanation:

the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.

So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:

Minimum point = (-1 + 5, -3) = (4, -3)

So the minimum point of y = f(x - 5) is (4, -3).

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Patrick went cycling one weekend.
Margarita [4]
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
8 0
3 years ago
ANSWER BOTH!!! A. An international company has 18,600 employees in one country. If this represents 18.2% of the company's employ
bulgar [2K]

Answer:

A. 102,198 employees

B. $22,120 decrease

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Step-by-step explanation:

6 0
3 years ago
98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS
photoshop1234 [79]

Answer:

40 Tickets

80 Tickets

Step-by-step explanation:

To find how many tickets it will take to break even, we use the formula:

Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

Break Even In Units = \dfrac{200}{10-5}

Break Even In Units = \dfrac{200}{5}

Break Even In Units = 40

So the class needs to sell a total of 40 Tickets to break even.

Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.

Number of tickets for $200 profit = 40 x 2

Number of tickets for $200 profit = 80 Tickets.

So the class needs to sell 80 Tickets to make a $200 Profit.

5 0
2 years ago
mary has $500 in her savings account and she buy a pair of shoes every week for $125 write a function
zepelin [54]
500-125x
can't keep that habit up
5 0
2 years ago
Juan always saves the same amount from his weekly allowance. The table shows how much he has saved at different times.
erastova [34]
On the 14 week Juan will save $ 52 because each 3 week he earns 3.
So you do 9 divide by 3 and get 3. Then you do 3 times 2 and get 6.
46 + 6 = 52
~JZ
4 0
2 years ago
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