Answer:
The volume of soil in Darren's planter box is 56 feet³
Step-by-step explanation:
The formula of the volume of a rectangular box is V = l × w × h, where l is its length , w is its width and h is its height
∵ Darren's planter box is seven feet long and four feet wide
∴ l = 7 feet
∴ w = 4 feet
<em>The volume of the soil is equal to the volume of the box using the height of the soil, because the soil takes the shape of the box, so they have the same dimensions of the base</em>
∵ Darren fills the planter box with soil to a height of two feet
∴ h = 2 feet
- Substitute the values of l, w and h in the formula of the volume
∵ V = 7 × 4 × 2
∴ V = 56 feet³
The volume of soil in Darren's planter box is 56 feet³
I’m not sure but u need more information on your question
Answer:
c. f(x)=x(x+2)(x-1)(x-4)
Step-by-step explanation:
Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.
Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.
If x = -2
ADD 2 to both sides.
x + 2 = 0
This means (x+2) is a factor.
This is enough info to select answer c. but let's verify the other factors.
If x = 1
SUBTRACT 1 from both sides.
x - 1 = 0
Thus means (x - 1) is a factor.
If x = 4
SUBTRACT 4 from both sides.
x - 4 = 0
(x - 4) is a factor.
You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.
I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.
Answer:
-1<x<9
(I think you notated it wrong, it should be |x-4|-2<3)
