Volume = 9 1/3 * 4 * 6 1/2
= 28/3 * 4 * 13/2
= 728/3 = 242 2//3 in^3
Answer:
X=9
Step-by-step explanation:
3.5(7−x)+32=106−1.5(4x+18)
Step 1: Simplify both sides of the equation.
3.5(7−x)+32=106−1.5(4x+18)
(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)
24.5+−3.5x+32=106+−6x+−27
(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)
−3.5x+56.5=−6x+79
−3.5x+56.5=−6x+79
Step 2: Add 6x to both sides.
−3.5x+56.5+6x=−6x+79+6x
2.5x+56.5=79
Step 3: Subtract 56.5 from both sides.
2.5x+56.5−56.5=79−56.5
2.5x=22.5
Step 4: Divide both sides by 2.5.
2.5x
2.5
=
22.5
2.5
x=9
a) The polynomial in expanded form is
.
b) The slant asymptote is represented by the linear function is
.
c) There is a discontinuity at
with a slant asymptote.
a) In this question we are going to use the Factor Theorem, which establishes that polynomial are the result of products of binomials of the form
, where
is the i-th root of the polynomial and the grade is equal to the quantity of roots. Therefore, the polynomial
has the following form:

And the expanded form is obtained by some algebraic handling:



(1)
The polynomial in expanded form is
.
b) In this question we divide the polynomial found in a) (in factor form) by the polynomial
(also in factor form). That is:

(2)
The slant asymptote is defined by linear function, whose slope (
) and intercept (
) are determined by the following expressions:
(3)
(4)
If
, then the equation of the slant asymptote is:







The slant asymptote is represented by the linear function is
.
c) The number of discontinuities in rational functions is equal to the number of binomials in the denominator, which was determined in b). Hence, we have a discontinuity at
with a slant asymptote.
We kindly invite to check this question on asymptotes: brainly.com/question/4084552
Answer:
8.5
Step-by-step explanation:
Volume= base*height
V= 2 1/8*4
V= 8.5