Compare your f(x)=1/2tan (2x+5) to
g(x)=a*tan (bx + c).
Note how b = 2.
The period of the given tangent function is pi/b, which here is pi/2, or 90 degrees. Multiplying x by 2 horizontallyl compresses the graph of tan x by a factor of 1/2.
AA = $1
AAA= $0.75
AA + AAA = 42
$1AA + $0.75AAA= $37
AA + AAA = 42
AA + AAA-AAA= 42- AAA
AA = 42- AAA
$1(42- AAA) + $0.75AAA= $37
$42 - AAA +0.75AAA = $37
$42 -0.25AAA= $37
$42-$42 -0.25AAA= $37 -$42
-0.25AAA= -5
-0.25AAA/-0.25 = -5/-0.25
AAA= 20
AA + AAA= 42
AA + 20 = 42
AA +20 -20 = 42-20
AA= 22
Check
$1AA + $0.75AAA= $37
$1(22)+ $0.75(20)= $37
$22 + $15 =$37
$37 = $37
Answer: D. 13 1/2.
Step-by-step explanation:
1/2*3= 1 1/2 cups of dishwashing liquid.
4 1/2*3= 13 1/2 cups of water will be used with 1 1/2 cups of dishwashing liquid.
Answer: 54
<u>Step-by-step explanation:</u>
replace "a" with "-2" in the g-equation
g(a) = a² - 4a + 42
g(-2) = (-2)² - 4(-2) + 42
= 4 + 8 + 42
= 54
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, 
. Also, the height 
of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of 
is:
Since:
The area is:
