X² - 10x = 46
10/2 = 5; 5²+ 25 add 25 to both sides
x² - 10x + 25 = 46 + 25
so the number you have to add to complete the square is 25.
Farrah's total score for both rounds will be -3.
Since the leader board shows Farrah's score as 5 on the front nine, this will be: +5
Since the leader board shows Farrah's score as 8 on the back nine, this will be -8. Then we'll add both together to get the total score which will be:
= 5 + (-8)
= 5 - 8
= -3
His total score will be -3.
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Answer:
Gross pay for the week = $603.85
Step-by-step explanation:
Monday pay = (5.4 x 8) + (2.7 x 1) = $45.9
Tuesday pay = 5.4 x 8 = $43.2
Wednesday pay = (5.4 x 8) + (2.7 x 3) = $51.3
Thursday pay = (5.4 x 8) + (2.7 x 1) = $45.9
Friday pay = (5.4 x 8) + (2.7 x 2) = $48.6
Saturday pay = 5.4 x 8 = $43.2
Commission on first $3000 = 0.04 x 3000 = $120
Commission on sales above $3000 = 0.05 x 4115 = $205.75
Gross pay for the week = 45.9+43.2+51.3+45.9+48.6+43.2+120+205.75 = $603.85
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵ , where
and are any two ordered pairs in the table
∵ = (1 , 20)
∵ = (3 , 10)
∴
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
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