The volume of a prism is the product of the area of a the base and its height. Given the volume of the prism as 15x2 + x + 2 and the height as x2, the base can be expressed using this expressions. Volume = base x height. By substitution, <span>15x2 + x + 2 = (base) x (x2). Thus the answer is, base = (15x2 + x + 2)/x2 or base = 15 + (1/x) + (2/x2).</span>
Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of 
where each variable represents a real number?
Let's expand equation 1:
Simplify each term if can:
See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have 
and if I factored from first two terms I would have 
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.
Factor the variable squared terms out of each binomial pairing:
Replace the sum of those first three terms with what it equals which is 6 from the equation 2:
Combine like terms:
Subtract 6 on both sides:
Divide both sides by 3:
3x - 4 < = 2
3x < = 2 + 4
3x < = 6
x < = 6/3
x < = 2
2x + 11 > = -1
2x > = -1 - 11
2x > = -12
x > = -12/2
x > = -6
however, since ur inequality has " or " instead of " and " .....ur answer I believe is going to be {x | x < = 2}
Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
Answer:
y=3
Step-by-step explanation:
5y-2(3)=9
5y-6=9
+6 +6
5y=15
/5 /5
y=3
