Answer:
9. y=9h+4
10. y=5r+10
11. y=4x+8
12. y=4n+9
Step-by-step explanation:
9. He gets 9 dollars per hour (h), and 4 dollars extra for gas.
So 9 dollars per hour plus 4 dollars for the gas
y=9h+4
10. Roses (r) are selling for 5 dollars each and there is a delivery fee of 10 dollars.
So 5 dollars per rose plus 10 dollar fee
y=5r+10
11. The tree increases by 4 feet per year (x), and it is already 8 feet tall.
So 4 feet per year plus 8 feet
y=4x+8
12. Each trophy (n) weighs 4 kilograms, and the box itself weighs 9 kilograms.
So 4 kilograms per trophy plus 9 kilograms for the box.
y=4n+9
Answer:p = (2100 - x)/25
Step-by-step explanation:
According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.
To derive the demand equation, we would apply the slope intercept form of equation which is expressed as
y = mx + c
Where
m = slope
c = intercept
The slope, m would be
(y2 - y1)/(x2 - x1)
Slope = (1100 - 100)/(40 - 80) = 1000/-40
Slope = - 25
To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes
1100 = - 25 × 40 + c
1100 = - 1000 + c
c = 1100 + 1000 = 2100
y = - 25x + 2100
Therefore, the demand equation is
x = - 25p + 2100
25p = 2100 - x
p = (2100 - x)/25
If ABCD is a square, then m∠A = 90°.
Therefore we have the equation:
30° + 48° + x° = 90°
78° + x° = 90° |-78°
x° = 12°
Answer: 12
Answer:
3x - 4y = -4
Step-by-step explanation:
substitute the ordered pair into each equation and ensure that it comes out to be true.
