Answer:
Yes (True)
Step-by-step explanation:
Answer:
x- intercept = - 8, y- intercept = 6
Step-by-step explanation:
To find the x- intercept let y = 0 and solve for x
- 3x + 4(0) = 24
- 3x = 24 ( divide both sides by - 3 )
x = - 8 ← x- intercept
To find the y- intercept let x = 0 and solve for y
- 3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ← y- intercept
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Answer:
31 inches. Add all the sides together. The height is not needed. 6.5+13.5+4+7=31 inches.
Step-by-step explanation:
A) To buy one box of the new cereal it will be y=8*1 so 8$. 12-8= 4. So the original brand is 4$ more.
B) 4*4=16$