What is the inverse of the function f(x) = 4x + 8?h(x) = x – 2
h(x) = x + 2
h(x) = x – 2
h(x) = x + 2
Answers
we have
Step 1
Let
Step 2
exchanges the variable x for y and the variable y for x
Step 3
Isolate the variable y
Step 4
Let
------> the inverse function
therefore
the answer is
Final answer:
The inverse of the function f(x) = 4x + 8 is h(x) = (x - 8) / 4.
Explanation:
The inverse of the function f(x) = 4x + 8 can be found by switching the x and y variables and solving for y. So, we have:
x = 4y + 8
Now, we rearrange the equation to isolate y:
x - 8 = 4y
y = (x - 8) / 4
Therefore, the inverse function is h(x) = (x - 8) / 4.
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Answers
From Binomial Theorem (x-2y)³:
(
Answers
The experimental probability of landing on heads will be 9/20 or 0.45.
What is probability?
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A coin is tossed 40 times.
Heads appeared 18 times.
Total events = 40
Favorable events = 18
Then the experimental probability of landing on heads will be
P = 18 / 40
P = 9 / 20
P = 0.45
More about the probability link is given below.
#SPJ2
Answers
Examples:
13 x 100 = 1300
444 x 100 = 44400
7 x 100 = 700
Answers
Hi there! :)
Answer:
Donovan babysat for 7 hours on Saturday in order to earn $31.50.
Step-by-step explanation:
In order for you to answer your question, you'll need to use the cross product method:
$9 → 2 hours
$31.50 → X hours
(2 × 31.50) ÷ 9 = X hours
63 ÷ 9 = X hours
7 = X hours
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
To know the answer we'll have to divide 9 by 2 to know how much money Donovan would make in one hour.
9 ÷ 2 = 4.5
So that means Donovan makes $4.05 dollars per hour.
Now we'd divide $31.50 by $4.05 or, 31.50 ÷ 4.5 =
7.
Which means that Donovan babysat for 7 hours.
Hope this helps.
Answers
The length of the other leg of a right angle triangle is, 10.95 units
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.
Now, By the Pythagoras theorem, we get;
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 13² = 7² + Base²
⇒ 169 = 49 + Base²
⇒ Base² = 169 - 49
⇒ Base² = 120
⇒ Base = √120
⇒ Base = 10.95 units
Learn more about the triangle visit;
#SPJ2
(7)² + B² = 13²;
49 + B² = 169;
B² = 130;
B = 11.40
The length of the other leg is 11.40.
Answers
Answer:
Step-by-step explanation:
The given function is,
This is the solution of t.
Now we have to find t when h is 1 cm, 3 cm and 5 cm.
When h=1
When h=3
When h=5
h = 7 cos (pi/3 t)
cos (pi/3 t) = h/7
pi/3 t = cos^-1 (h/7)
t = (3/pi) cos^-1 (h/7)
then we substitute:
t = (3/pi) cos^-1 (1/7)
t = 78.1 s
t = (3/pi) cos^-1 (3/7)
t= 61.71
t = (3/pi) cos^-1 (5/7)
t = 42.41
those are the times in seconds respectively.