Answer:
Shrink of an exponential growth function is f(x) = 1/3(3)^x
Step-by-step explanation:
1)
f(x)=tan 90º=indeterminated or ∞
Answer: y-value=indeterminated or ∞.
2)
Law of sines:
a/sin A=b/ sinB
In this case:
24 /sin 92º=7/sin Z
sin Z=(7*sin 92º)/24=0.29148...≈0.29
Z=arc sin (0.29)=16.95º
Answer: Z=16.95º.
3)
Law of cousines:
a²=b²+c²-2bc(cos A)
In this case:
12²=22²+19²-2(22)(19)cos T
144=484+361-836 cos T
-836 cos T=144-484-361
-836 cos T=-701
cos T=-701/-836
cos T=0.83851...≈0.84
T=arc cos (0.84)=33.02
Answer: T=33.02º
4)
The hypotenuse would be EF, because it is in front of the right angle.
The legs would be EG and FG
Answer: The legs would be EG and FG.
5)
cot Ф= adjacent /opposite=10/24=5/12
Answer: cot Ф=5/12
Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since,
, from the properties of logarithmic function }
= 
{Since,
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
=
(Answer)
Answer:
x=15/16
Step-by-step explanation:
Let's solve your equation step-by-step.
6−34x+13=12x+5
6+−34x+13=12x+5
Multiply all terms by x and cancel:
6x+−34+1x3=12+5x
193x+−34=5x+12(Simplify both sides of the equation)
193x+−34−5x=5x+12−5x(Subtract 5x from both sides)
43x+−34=12
43x+−34+34=12+34(Add 3/4 to both sides)
43x=54
(34)*(43x)=(34)*(54)(Multiply both sides by 3/4)
x=1516
Check answers. (Plug them in to make sure they work.)
x=1516(Works in original equation)
Answer:
answer below
Step-by-step explanation:
y = |x|
y = - |x| .... reflection over x axis
y = - |x+4| ... horizontal translation to the left 4 units
y = - |x+4| + 1 ... vertical translation 1 unit up