An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.
- We are given a rectangular prism.
- A rectangular prism is no different than a cuboid.
- Let the height of the rectangular prism be "h".
- The length of the rectangular prism is "h-3".
- The width of the rectangular prism is "h+5".
- The volume of the rectangular prism is the same as that of the cuboid.
- The volume of the rectangular prism is the product of its length, its width, and its height.
- The volume of the rectangular prism is (h - 3)*(h + 5)*h.
- An equation for the volume of the prism as a function of the height is :
- Volume = (h - 3)*(h + 5)*h
- Volume = (h² + 2h - 15)*h
- Volume = h³ + 2h² - 15h
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Answer:The roots are -3+√6 and -3-√6
Explanation:First, we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² + 6x + 9 - 6 = 0
x² + 6x + 3 = 0
By comparison:
a = 1
b = 6
c = 3
Now, to get the roots, we will need to used the quadratic formula shown in the attached image.
By substitution, we would find that:
either x = -3 + √6
or x = -3 - √6
Hope this helps :)
Answer:
Divide each term by −2 and simplify.
Inequality Form:
x>−5
Interval Notation:
(−5,∞)
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
perimeter is 35.6 area is 108
Step-by-step explanation:
it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base 61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60
the whole perimeter if 15.6+20=35.6 the area is 60+48=108
Answer:
1.60x=32.00
Step-by-step explanation:
Since you do not how much gallons of gas he bought you would use the variable x.