Answer: y=3x-8, y=5x-8, and y=2x-8
Step-by-step explanation:
These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.
This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.
We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.
We also know that √ 108 is greater than √ 100 =10
So we can conclude that
√ 108 > √ 100 = 10 > 9.4247
or simply
√ 108 > 9.4247
by the transitive property of logical propositions.
Answer:
The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.
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Step-by-step explanation:
From the general properties or laws of logarithm, we have the

where both log are now express in the natural logarithm base.
i.e 
hence we can express our
.
the value of ln7 is 1.9459 and ln4 is 1.3863
Hence
.

6.23+ -12.49 -2.6= 6.23+ -12.49+ -2.6
-6.26+-2.6= -8.86
RS points east; R'S' points north, so there has been a rotation 90° CCW.
After that rotation, point S would be at (1, -1). It is actually at (1, 1), so has been shifted 2 units upward.
A sequence that does the desired mapping is
- c. rotation of 90° CCW about the origin
- b. translation 2 units up