The inverse of a given function y = 1/2x + 8 will be equal to f'(x) = 1/2( x - 8).
What is the inverse of a function?The inverse function of a function that undergoes the operation of f. which is denoted by [tex]f^{-1} (x)[/tex].
The given expression is given as
y=1/2x+8
The inverse of the given expression
[tex]f^{-1} (x) = 1 /2(x - 8)[/tex]
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Can 6,12, and 18 make a triangle?
By definition, 3 side lengths are a triangle if any 2 side lengths add up to be greater than the third.
We can already see that the side lengths 6 and 12 will add up to a value of 18, which is equal to the last side length, meaning that the three values are not a triangle.
[tex]a=6[/tex]
[tex]b=12[/tex]
[tex]c=18[/tex]
[tex]a+b>c[/tex]
[tex]b+c>a[/tex]
[tex]c+a>b[/tex]
[tex]6+12>18[/tex] (Since this is not true, this is not a triangle)
Hope this helps.
頑張って!
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(4)
Answer:
f(g(4) = -11
Step-by-step explanation:
Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.
Output from first function: g(x) = [tex]x^{2} + x[/tex]
g(4) will be evaluated by substitution 4 for x in the above equation.
this will give us [tex]g(x)=4^{2}+4 =20[/tex]
Output from the composite function f(g(4)
The next stage is to input our results from the function g(4) into the function
f(x) = 9 - x. The output from g(4) which is 20, will now become our input.
[tex]f(x)-9-(20)= -11[/tex]
Therefore f(g(4) = -11
What is the base in -5x2
Answer:
Step-by-step explanation:
10 lol
Round 367.8727 to the nearest 100th.
Answer:
367.87
Step-by-step explanation:
the 100th place is the 2nd digit in the decimal. After the "7" is "27" so it rounds down to just ".8700." We don't include the "infinite zeros" or whatever so therefore your answer is 367.87.
Hope this helps and have a nice day!
Simplify this radical. [tex]\sqrt{} 84[/tex]
Answer:
2√21
Step-by-step explanation:
[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]
If point A is translated 4 units left and 6 units down, what are the coordinates of A?
A)
(6, 1)
B)
(6, -1)
C)
(-2, 1)
D)
(-2,-1)
Answer:C (-2, 1)
Step-by-step explanation:
help ASAP!!
i need help finding out the pattern of 3 and 4
Answer:
See below.
Step-by-step explanation:
For 3, we have:
1, 3, 6, ___, 15, 21, _____, 36, _______
Let's try to determine the pattern. From 1 to 3, we added 2.
From 3 to 6, we added 3.
So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:
6+4=10
10+5=15.
So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:
1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45
For 4, we have:
100, _____, 64, ______, 36, 25, _______
Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:
10², _____, 8², ______, 6², 5², ______
Therefore, our blanks would be:
10², 9², 8², 7², 6², 5², 4².
Evaluated, this woul be:
100, 81, 64, 49, 36, 25, 16.
And we're done!
Please show all work and not just the answers.
I hope this helps you
If one kilogram equals 2.2 pounds, how many kilograms equal 112 pounds? Round your answer to the nearest hundredth, if necessary. 24.64 kilograms 50.91 kilograms 109.8 kilograms 246.4 kilograms
Answer:
B.) 50.91 kilograms
Step-by-step explanation:
Write an equation that looks like this:
[tex]\frac{kilogram}{pound}= \frac{kilogram}{pound}[/tex]
Insert the information in the appropriate section, with 1 kilogram and 2.2 pounds on the same side:
[tex]\frac{1}{2.2}=\frac{x}{112}[/tex]
Solve for x, which is the number of kilograms for 112 pounds if there is 1 kilogram per 2.2 pounds.
Solve for x. Cross multiply:
[tex]1(112)=2.2(x)\\\\112=2.2x[/tex]
Isolate the variable. Divide both sides by 2.2:
[tex]\frac{112}{2.2}=\frac{2.2x}{2.2}\\\\x= 50.909090...[/tex]
Round to the nearest hundredth (two decimal places to the right):
50.909 → 50.91
If 1 kilogram is equal to 2.2 pounds, then 50.91 kilograms is equal to 112 pounds.
:Done
Answer:
b bc the oter guy is alomost as smort as walter
Step-by-step explanation:
Hola! Necesito ayuda con esto, tengo que encontrar el dominio y rango de esta gráfica. Les agradezco mucho si me ayudan.
Answer:
yo no se pero ahorita yo te ayudo
6. Which units do we use when calculating the perimeter? (select all that
apply)
-millimetres
-kilogram
-metres
-centimetres
-kilometres
Answer:
The perimeter is a distance so all length units apply
● millimeters
● meters
● centimeters
Find the value of x. 2x+3x-5=-15 *Plz explain your answer*
Answer:
-2
Step-by-step explanation:
-3(4x+2)=18 WHAT IS IT????
Answer:
x = -2
Step-by-step explanation:
-3(4x + 2) = 18
Divide by -3:
-3(4x + 2) / -3 = 18 / -3
4x + 2 = -6
Subtract 2:
4x + 2 - 2 = -6 - 2
4x = -8
Divide by 4:
4x / 4 = -8 / 4
x = -2
pls help me 20 points
Answer:
31/100
Step-by-step explanation:
Which number is located between 15 and 20 on the number line
A teacher took a poll of a class to find out if the students Preferred cats or dogs .the ratio of students who prefer cats vs.students who prefer 2:5 if there are 49 students in the class how many more prefer dogs than cats ??
Find the missing angles with reasons.
Answer:
C and D
Step-by-step explanation:
C) C = [360 - 148(2)] divide 2
= 32 degrees
Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value
D) h = 76
Explanation: opposite angles
I = 76
Explanation: transverse angles
j = [360 - 76x2] divide 2
= 104 degrees
Explanation: same as C
Hope this helps!
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. What is the probability of
selecting both yellow?
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
[tex]= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}[/tex]
Thus, the probability of selecting both yellow is 5/22.
Which of the following is NOT a type of bank?
OA) savings and loans association
OB) credit union
OC) modern bank
OD) commercial bank
Answer:
OC) modern bank
Step-by-step explanation:
OC) modern bank
There is no such type of bank.
Does anyone know what the answer is
Answer:
cheating in entrance
Step-by-step explanation:
circumference: 14π
area: 49π
Answer:
nope
Step-by-step explanation:
can someone please help me, I don't know where to begin
Answer:
x=20
Step-by-step explanation:
sum of all the sides is equal to 180degrees
group like terms
solve the question
Tables of Ratios: Mastery Test
Drag each number to the correct location on the table. Not all numbers will be used.
The table gives ratios between distance and time. Complete the table to form equivalent ratios.
10
210
490
Distance (miles)
140
Time (hours)
2
4
5
280
350
420
560
6
8
12
700
Answer: Distance(Miles)
140,420,560
Time(Hours)
5,10
Simplify the expression 5 (x + 4) – 6(1-5)
One morning it was 29°F in Columbus, Ohio and 27°F in Pittsburgh, Pennsylvania.Was it warmer in Columbus or Pittsburgh?
You have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet. Find the interval for the length of x that you will cover before you need to buy more roof coating.
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5<= x <= 6.5
The interval for the length of x that you will cover before you need to buy more roof coating will be 47.5 ≤ x ≤ 6.5.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.The space occupied by any two-dimensional figure in a plane is called the area.
Given that you have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet.
The formula to calculate the area of the
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5 ≤ x ≤ 6.5
Therefore, the interval will be 47.5 ≤ x ≤ 6.5.
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Find the difference of 3 1/2 - 1 1/9 * help this is due in 1 hour
Answer:
the answer is 2.38
Step-by-step explanation:
Answer:
2 7/18 if you need it in fraction form.
please help ! ALGEBRA 1
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]0. \overline{79} + \pi[/tex]
Here [tex] 0.\overline{79}[/tex] is a rational number and [tex] \pi[/tex] is an irrational number whose sum gives irrational number.
Answer:
Te answer would be to tenth of PIE so 0.79 would be ruled out
Step-by-step explanation:
Which of the following numbers is a whole number?
O 03
02
0-8
3
help on absolute value!
Answer:
9
Step-by-step explanation:
we have
[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]
and absolute value of -9 is 9
so answer is 9
1. Which statement is NOT true?
A A rhombus is always a parallelogram.
B. A trapezoid ia sometimes a parallelogram.
C. A square is always a rhombus.
D. A parallelogram a sometimes a rectangle.
Answer:
B.
Step-by-step explanation:
A trapezoid is NOT a parallelogram because a parallelogram have 2 pairs of parallel sides. But a trapezoid/trapezium only has 1 pair of parallel sides.