Answer:
Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.
Step-by-step explanation:
Answer:
x < -8
Step-by-step explanation:
Step 1: Translate
Product = multiplication = -8(x)
More than = >
64 = 64
Step 2: Write out inequality
-8x > 64
Step 3: Solve
x < -8
-- The difference of 2 logs is the log of the quotient of their arguments.
log(11) - log(6) = log(11/6)
-- 1/3 of the log of something is the log of its cube root.
1/3 log(8) = log(∛8) = log(2)
and
1/3 log(729) = log(∛729) = log(9)
-- If a bunch of logs all have the same base, then their sum
is the log of the product of the arguments. So ...
log(11) - log(6) + 1/3 log(8) + 1/3 log(729) =
log(11/6 times 2 times 9) =
log( 11*18 / 6 ) = <em>log(33)</em>
log(33) = about <em>1.519</em> (rounded)
============================================
The other way:
log(11) = 1.0414
-log(6) = -0.7782
log(8) = 0.9031
1/3(0.9031) = 0.3010
log(729) = 2.8627
1/3(2.8627) = 0.9542
-----------
Adum up: <em>1.5184</em>
(Note: Everything is rounded.)
The value of x is 4.
Step-by-step explanation:
Consider a Rectangle ABCD
AB as Top
CD as Bottom
AB = -1 + 4x
CD = 3x + 3
To Find:
x = ?
Solution:
In a Rectangle ABCD
Opposite sides of rectangle congruent,
AB = CD
Top = Bottom
on substituting we get
The value of x is 4.