Answer:
The required number of plants is 10.
Step-by-step explanation:
Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.
If x number of plants that must be delivered for the total cost to be the same at both nurseries, then
15x + 50 = 20x
⇒ 5x = 50
⇒ x = 10
Therefore, the required number of plants is 10. (Answer)
to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is
Answer:
Step-by-step explanation:
We have been given that the area of a square is given by , where x is the length of one side.
Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.
We can represent this information in an equation as:
Therefore, the expression will represent the area of Mary's new garden.
To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.
Therefore, the area of Mary's new garden will be 128 square feet.
Step-by-step explanation:
4(2)² - 4 =
4(4) - 4 = 12
3(2)² - 3(4)
3(4) - 12
12 - 12 = 0.
It exceeds the value by 12 :)