9514 1404 393
Answer:
an=12−1.5n
Step-by-step explanation:
The first term is 10.5.
The common difference is ...
9 - 10.5 = -1.5
The n-th term can be described by ...
an = a1 +d(n -1)
an = 10.5 -1.5(n -1) = 10.5 -1.5n +1.5 . . . . eliminate parentheses
an = 12 -1.5n
Length of the block of marble in question is (l) = 8 feet
Width of the block of marble in question is (w) = 2 feet
Height of the block of marble in question is (h) = 78 inches
We already know that
1 inch = 0.08 foot
So
Height of the block of marble in question (h) = 78 * 0.08 foot
= 6.24 feet
Then
Volume of the marble block = i * w * h
= 8 * 2 * 6.24 cubic feet
= 99.84 cubic feet
From the above dduction we can conclude that the volume of the marble block in the shape of a rectangular prism is 99.84 cubic feet.
Answer:
y = 9/5 x -4
Step-by-step explanation:
first find slope or m
slope is change in y over the change in x
-4-5/0-5 =-9/-5 = 9/5
the (0, -4) is the y intercept or b
Answer:
9x+7y+13
Step-by-step explanation:
5x+4x=9x
3y+3y+y=7y
5+8=13
Answer:
Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
Operating:
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
