The value of [tex]f^{-1}(6)[/tex] is [tex]-3[/tex].
Given:
The function [tex]f[/tex] has an inverse and [tex]f(-3)=6[/tex].
To find:
The value of [tex]f^{-1}(6)[/tex].
Explanation:
If a point [tex](a,b)[/tex] lies on the function [tex]f(x)[/tex], then the point [tex](b,a)[/tex] must lies on the inverse function [tex]f^{-1}(x)[/tex].
According to the given value [tex]f(-3)=6[/tex], the point [tex](-3,6)[/tex] lies on the function [tex]f(x)[/tex]. So, the point [tex](6,-3)[/tex] must be lies on [tex]f^{-1}(x)[/tex].
[tex]f^{-1}(6)=-3[/tex]
Therefore, the value of [tex]f^{-1}(6)[/tex] is [tex]-3[/tex].
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The length of Dwight's garden is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.
Answer: See Explanation
Step-by-step explanation:
From the question, The length of Dwight's garden is 12.5 meters but he measured it and made a measurement error of 6%.
The lowest measurement Dwight could have made will be:
= 12.5 - (6% × 12.5)
= 12.5 - (0.06 × 12.5)
= 12.5 - 0.75
= 11.75 meters
The lowest measurement Dwight could have made will be:
= 12.5 + (6% × 12.5)
= 12.5 + (0.06 × 12.5)
= 12.5 + 0.75
= 13.25 meters
Item 2
Write the word sentence as an inequality.
A number y minus 12 is no more than −32.
Answer:
i believe its y - 12 < -32
Step-by-step explanation:
you dont know what y - 12 is, so thats the first part. then, it says that is NO MORE than -32 meaning y - 12 is less.
I GIVE BRAINIEST
Can someone help me with question one that goes a problem 2.
Answer:
when someone turn down the volume for a commercial.
Step-by-step explanation:
2x-8≥-11 what is x in simplest form
Subtact: (-x + 3) - (x - 5)
Answer:
Step-by-step explanation:
-2x+8
Use the given similar triangles to find the value of x
I need the answer fast please!!
Answer:
I believe the answer is x=7
Step-by-step explanation:
3x and 4x-1 are corresponding sides and so are 14 and 18.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
9
Kim is 5 years older than Scott.
Kim's mum is 3 times Kim's age.
Scott's dad is 3 times Scott's age.
How much older is Kim's mum than Scott's dad?
Answer: 15 years
Step-by-step explanation:
Given : Kim is 5 years older than Scott.
Kim's mum is 3 times Kim's age.
Scott's dad is 3 times Scott's age.
Let age of Scott = y years
Then Kim's age = (y+5) years
Kim's mum age = [tex]3\times (y+5)=3y+15[/tex] years
Scott's Dad age = [tex]3\times y=3y[/tex] years
Difference between Kim's mum age and Scott's Dad age = Kim's mum age - Scott's Dad age = (3y+15) - (3y) = 15
Thus Kim's mum is 15 years older than Scott's dad.
Answer:
15
Step-by-step explanation:
Kim . Scott
+5 (y+5) -5 . (y)
let's give them a random age
Kim . Scott
16 . 11
Mum Dad x3
48 . 33
48-33=15
So Kim's mum is 15 years older than Scott's dad
A. Write an equation for Leo's distance from the starting point after riding for x hours. Write an equation for Juan's distance from the starting point if he starts h hours after Leo.
Answer:
Simply apply the expression
Speed= distance/time
Step-by-step explanation:
The question is not complete, although, we can provide a solution to what it is trying to ask for
Step one:
given data
For Leo, let the distance that Leo covers be y meters
and let the distance that Juan covers be f meters
From speed = distance/time
for Leo, given that he traveled for x hours, his distance will be
d= y*x
for Juan, given that he traveled for h hours, his distance will be
d= f*h
[tex]square root x+25 = 2[/tex]
Answer:
unsolvable
Step-by-step explanation:
sqrt(x) = 2 - 25
sqrt(x) = -23
This is unsolvable because no squareroot of x results in a negative number
i will give Brainliest
Step-by-step explanation:
number one
The ratio of cups of orange juice concentrate to water in a punch recipe is 3 : 6. If Steve used 18 cups of water, how many cups of orange juice concentrate did he use?
Answer:
9
Step-by-step explanation:
18*3=36
18 devided by 2=9
How would you convert 4 meters 20 centimeters to centimeters.
Answer:
1meter is equal to 100cm
Step-by-step explanation:
I need help with this problem. (Dont mind the answer box ;v;)
Answer:
Step-by-step explanation: have you tryed using a table
Answer:
[tex]\frac{5}{4}[/tex] or 1.25
Step-by-step explanation:
Please mark as Brainliest!!!Choose all of the points that are solutions to the equation y = - 3x - 4.
A (-4,0)
B. (-1,0)
O c. (0,4)
D. (1,-6)
E. (1,0)
F. (3.–7)
I NEED HELP PLEASE!!!
The length of a rectangle is repesented by (5×-3) and the width is repesented by (2×-1) write an expression for the perimeter of the rectangle
Answer: The expression for the perimeter of the rectangle =14x-8.
Step-by-step explanation:
Given: Expression for length of rectangle = 5x-3
Expression for width of rectangle = 2x-1
We know that,
Perimeter of rectangle = 2 (length + width)
Then, perimeter of rectangle = 2(5x-3+2x-1)
= 2(5x+2x-3-1) [Combine like terms]
= 2 (7x-4)
= 14x -8
Hence, the expression for the perimeter of the rectangle = 14x-8
in the figure below,two lines are parallel and m < 1 =83°. Find all other angles
Answer:
angle 3=83(vertically opposite angles are equal)
angle 5=angle 3(alternate interior angles) so = 83
angle 7 =angle 5 ( vertically opposite angles)
angle 2 +angle 1=180 (linear pair ) so angle 1 + 180-83=97
angle 4 = angle 2 (VOA)=97
angle 6 =angle 4 (AIA)=97
angle 8 =angle 6(VOA)=97
hope it helped plz mark me as brailiest
Step-by-step explanation:
What's 7/81 rounded to the nearest tenth?
Answer:
Did you mean 7.81 'cause if so-
the rounded answer would be 8.0
Step-by-step explanation:
P(x) = x2 - 17x - 60
Answer:
P(x) = (x-20)(x+3)
Step-by-step explanation:
wendy drives from her house to the bank and then to the store how many miles does she drive in all ?
Answer:
10 miles
Step-by-step explanation:
Combine like terms to simplify the expression:
Answer: k/2 - 3/5
Step-by-step explanation: This is what my calculator came up with.
Identify the correct solution for the expression:
−10 + (−16) − 10
Answer:=-36
Step-by-step explanation:
There are a total of 722 students at dustins school
Answer:
whats the question skrrrrrrrrt
Step-by-step explanation:
can someone help me with this? (click image)
Answer:
27y^9 / x^6
Step-by-step explanation:
this is a fraction
Write a two-step equation involving multiplication and subtraction that has a solution of x = 7
Answer:
Possible solution: -2x-7= -21
Step-by-step explanation:
−5x−4y=−8minus, 5, x, minus, 4, y, equals, minus, 8
Write a formula for
f
(
x
)
f(x)f, left parenthesis, x, right parenthesis in terms of
x
xx.
Answer:
[tex]f(x)=\frac{-5}{4} x+2[/tex]
Find the missing dimension.
The missing dimension is
meters.fill in the blank
Answer:
11
Step-by-step explanation:
The equation for a rectangular prism's volume is
lwh= V
Plug in our numbers.
(7)(3)(h)= 231
(Multiply)
21(h)= 231
(Divide both sides by 21.)
h=11
Please help me, so for art class my teacher said to draw something that is “looking from an interior space to exterior space” can you put a link so I can draw that picture please
Answer:
Maybe something like this picture, but with less furniture and details.
There were 275 students who rode the bus which represents 60% of school enrolment how many students enrolled
Answer:
458 (or 459 if you overestimate)
Step-by-step explanation:
Let's work backwards. we know that the 275 students are 60% of the total students enrolled, which we'll denote with x. Therefore:
0.6x = 275
Now divide both sides by 0.6 to get the answer:
x = 458.3
You can't have .3 students, so the answer is either 458 or 459 students, depending on if you want to over or underestimate.
Hope this helps!
Write down in terms of n,an expression for the Nth term of the following sequences.
A) 1,8,15,22,29
B) 12,16,20,24,28