Step-by-step explanation:
x +
x + x - 1
—————————--------------
x
Simplify 
(((3 • (x3)) + 5x) -
) + 1
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x as the denominator :
3x^3 + 5x (3x^3 + 5x) • x
3x^3 + 5x = ———————— = ——————————————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
4.1 Pull out like factors :
+ 5x
x}{x}[/tex]
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Answer:
18
Step-by-step explanation:
one half times (four plus eight)
Writing mathematically
1½ ( 4+8)
Using BODMAS
we'll take the bracket first
1½ × 12
Change 1½ to improper fraction = 3/2
3/2 × 12 = 3×6
= 18
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Volume of the prism = 75 cubic feet
Solution:
The image given is a rectangular prism (or) a cuboid.
Area of base = l × b = 25 square feet
Height of the prism = 3 feet
Volume of the prism = l × b × h
= (l × b) × h
= 25 × 3
= 75 cubic feet
Volume of the prism = 75 cubic feet
Hence, the volume of the prism is 75 cubic feet.
Answer:
C. A reflection over the line y = -x
Step-by-step explanation:
You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).
Put that information in slope-intercept form
y = -1x + 0
You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.
y = -x
Answer:
9 ft
Step-by-step explanation:
As length, width and height are same, then it is a square prism / cube
Volume of prism = 729 ft³
side³ = 729
side³ = 9³
Side = 9 ft