f(5) is -8 ⇒ 1st answer
Step-by-step explanation:
Function is a relation between set of of ordered pairs (x , y),and every x has only one y
Examples:
- {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
- {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5
The notation of the function is f(x) = y
The table:
→ x : f(x)
→ -4 : -2
→ -1 : 5
→ 3 : 4
→ 5 : -8
From the table
∵ x = -4
- The corresponding value of y to x = -4 is -2
∴ f(-4) = -2
∵ x = -1
- The corresponding value of y to x = -1 is 5
∴ f(-1) = 5
∵ x = 3
- The corresponding value of y to x = 3 is 4
∴ f(3) = 4
∵ x = 5
- The corresponding value of y to x = 5 is -8
∴ f(5) =-8
f(5) is -8
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Her situation can be modeled by the linear equation (in standard form):
x*$0.25 + y*$0.79 = $2.50
<h3>How to write the equation that represents her situation?</h3>
The variables that we will use here are:
x = number of apples that she can buy.
y = number of bananas that she can buy.
We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:
x*$0.25 + y*$0.79
and that must be equal to the amount she has to spend, then we can write the linear equation:
x*$0.25 + y*$0.79 = $2.50
That is the linear equation in standard form that represents her situation.
Learn more about linear equations:
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We can split this up into 3 rectangles. 2 vertical ones (8 x 3) and one horizontal one in the middle (5 x (8 - 5)
8 x 3 = 24
24 x 2 = 48
5 x (8-5) = 5 x 3 = 15
now add 48 + 15 = 63 cm^2
We have the following table:
Round Number of Strokes Above or Below 72
1 -5
2 +6
3 -2
4 -4
5 +5
So, the expression that represents the total number of strokes is:
72 + (Number of strokes Above or below 72)
Therefore, for every round we get:
Round Number of Strokes Above or Below 72 Total number of strokes
1 -5 72 - 5 = 67
2 +6 72 + 6 = 78
3 -2 72 - 2 = 70
4 -4 72 - 4 = 68
5 +5 72 + 5 = 77
The total number of strokes is:
67 + 78 + 70 + 68 + 77 = 360
Additionally, the average is the total number of strokes divided by the number of rounds, so it is equal to:
Answer: Total: 360 Strokes
Average: 72 Strokes
Answer:
11 weeks
Step-by-step explanation:
First we need to check what variables we have.
Beginning Balance = $1000
Goal = $350
Withdrawal = $55 per week
Now let's declare a variable as the number of weeks.
Let x = number of weeks
1000 - 55x = 350
-55x = 350-1000
-55x = -650
Then we divide both sides by -55 to find the value of x.
x = 11.81 or 11 since we're looking for how many weeks in total
Now let's see if we still have 350 if we have a total of 11 as the value of x.
1000 - 55(11) = 350
1000 - 605 = 350
395 = 350
We can see that Kendall will have $395 compared to the $350 goal.
So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.
