Combine the terms with j, so -7j+3 would be left.
<u>Complete question:</u>
Refer the attached diagram
<u>Answer:</u>
In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.
<u>Step-by-step explanation:</u>
From the attached figure, it shows that given data:
f (x) = x – 3
g (x) = - 0.5 x
To Find: At what interval the value of (f-g) (x) negative
So, first we need to calculate the (f-g) (x)
(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)
⇒ (f - g) (x) =1.5 x - 3
Now we are supposed to find the interval for which (f-g) (x) is negative.
⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0
⇒ 1.5 x – 3 < 0
⇒ 1.5 x < 3
⇒ 
⇒ x < 2
Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.
Answer:
A.
(x - 5)^2 + (y + 8)^2 = 4
Step-by-step explanation:
The equation for a circle in center radius form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
We need to determine the radius, from the two points which is the distance
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (5-5)^2+( -8--6)^2)
= sqrt(0+ (-8+6)^2)
= sqrt( 0+(-2)^2)
= sqrt(4)
= 2
The radius is 2 and the center is (5,-8)
(x-5)^2 + (y--8)^2 = 2^2
(x-5)^2 + (y+8)^2 = 4
Answer: 1.30p + 3n = 35
Step-by-step explanation:
Answer:
Her commission rate is 7.44%
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
