Hello,
y=1/9 x-2
==>x=1/9 y -2
==>9x=y-18
==>y=9x+18
f^(-1)(x)=9x+18
Answer:
$165.8 ;
$223.83 ;
Henry would pay less for the tablet on the website.
Step-by-step explanation:
Given :
Regular price = $829
On website :
80% discount off the regular price :
(100 - 80)% * regular price
20% * 829
0.2 * $829 = $165.8
At store :
70% off regular price :
(100 - 70)% * 829
0.3 * 829
= $248.7
10% off sale price :
(100 - 10)% * $248.7
0.9 * 248.7
= $223.83
Henry would pay less for the tablet on the website.
Answer:
=25x-7
Step-by-step explanation:
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Combining the operations
The allowed operations are:
Add the same amount to both sides (either x's or ones)
Subtract the same amount from both sides (either x's or ones)
Multiply both sides by the same number (but not by zero)
Divide both sides by the same number (but not by zero)
(There are others, too, but they are not needed in simple equations.)
The goal is to FIRST add and subtract until we have ONLY x's (blocks) on one side and ONLY ones (circles) on the other. Then, if you have more than one block, you need to divide so as to arrive to the situation with only one block on the one side, which is the solved equation!
