if the formula is 
we just need to plug in the values
21/2 = 10.5 x 5 = 52.5
<em>hope it helps :)</em>
Answer:
y = 
x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 4 ← is in slope- intercept form
with slope m =
• Parallel lines have equal slopes , then
y = x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = x - 5 ← equation of parallel line
Answer:
Suit: $13; Shoes: $8
Step-by-step explanation:
Represent the unknowns (which are commissions on the sale of suits and shoes) by u and h.
The associate earned a commission of $47 the first week. That $47 represents the sum of the commission earned from selling suits and the commission earned from selling shoes.
We can represent this fact as follows:
3u + 1h = $47 (3 times the commission for selling 1 suit)
The appropriate equation describing the situation in the second week follows:
7u + 2h = $107
Now we have two linear equations in two unknowns, enough to enable us to calculate the commissions on selling suits and shoes.
3u + 1h = $47
7u + 2h = $107
We are to solve this system using the substitution method. The easiest approach here is to solve the first equation for h: h = $47 - 3u
and
then replace h in the second equation by $47 - 3u:
7u + 2($47 - 3u) = $107
Performing the indicated multiplication, we get 7u + $94 - 6u = $107
Simplifying this results in u + $94 = $107, and subtracting $94 from both sides reduces this equation to u = $13.
Thus, the commission on selling a suit is $13.
The commission on selling a pair of shoes is obtained from subbing $13 for u in the very first equation (3u + 1h = $47): 3($13) + h = $47. Subtracting $39 from both sides results in $8 = h. The commission on selling a pair of shoes is $8.
Answer: 3 is the weighted average
Step-by-step explanation:
A weighted average is sort of like it sounds. - Different data-points are given different weights as far as how much they affect the answer. It's like you had 4 people on a corporation's board and all four get to vote, but their votes count differently. Person A has a vote that counts as 3. Person B has a vote that counts as 2 votes. Persons C & D each have a vote that counts as just one vote. For peron A to get outvoted, all the others must gang up against him.
Okay, back to our actual problem ...
- point E measures (-1) and has weight 2x weight of F
- point F has a measure of 2 and no particular stated weight
- point G measures 6 and has a weight of 3x weight of F
Since we can assign a weight to point F and the other weights will be based on that, let's just keep it simple and give point F a weight of 1.
That gives E a weight of 2, and G a weight of 3.
So, ...
E value times E weight is (-1) x 2 = -2
F value times F weight is 2 x 1 = 2
G value times G weight is 6 x 3 = 18
Sum of (value x weight) = 18
Sum of the weights = 2 + 1 + 3 = 6
WE get the weighted average by taking the sum of (value x weight) products (18) and then dividing by the sum of the weights (6).
18/6 = 3, the weighted average
The point at coordinate 3 represents the weighted average.
Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
