Step-by-step explanation:
f(x)=8(5x-2)
interchanging the role of x&y
x=8(5y-2)
x=40y-16x+16=401yy=(x+16)/40f-1(x)=(x+16)/10
stay safe healthy and happy.The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be [tex]f^{-1}(x)[/tex] =(x + 16)/40.
What is the inverse of a function?A function's inverse can be thought of as a reverse of the function.
For instance, if y = f(x), then x = f will be the inverse (y).
It implies that we must swap x and y in the inverse function.
As per the given,
f(x)=8(5x-2)
Interchange the variable y and x as,
⇒ x = 8(5y - 2)
⇒ x+16=401y
⇒ y = (x+16)/40
Put y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)[/tex] =(x + 16)/40
Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be [tex]f^{-1}(x)[/tex] =(x + 16)/40".
For more information about the inverse of a function,
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Find a positive angle less than 2pi that is coterminal with 28pi/9
Answer:
o find a coterminal angle you add or subtract 2pi
-pi/100 + 2pi = -pi/100 + 200pi/100 = 199pi/100
Step-by-step explanation:
Your friend surveyed 100 people who took either vitamin C, zinc, or
Echinacea supplements to prevent getting a cold. The participants
were asked if they had a cold or no cold in the last 30 days.
no cold
cold
total
vitamin C
41
zinc
12
5
17
echinacea
21
total
26
100
What ratio of people in the survey took Echinacea?
Answer:
27 : 100
Step-by-step explanation:
Given :
__________ no cold ____ cold _____ total
Vitamin C ___ 41 ________ 15 ______ 56
Zinc _______ 12 _________5 ______ 17
Echinacea __ 21 _________ 6 ______ 27
Total ______ 74 _________ 26 ____ 100
The ratio of people who took Echinacea :
Number of people who took Echinacea : total number of people in the survey
From the TOTAL column:
Number of people who took Echinacea = 27
Total Number of people in survey = 100
Hence, ratio equals :
27 : 100
NO LINKS URGENT Below is the graph of y = f(x) Graph y=-f(x)
Answer:
Answer is the graph below
Step-by-step explanation:
It is the green line by the way.
If this helps, please mark this as brainliest.
Di cuantos ejos de simetria tiene un poligono regular segun su nombre de lados. Cuales elementos del poligono coresponden a ejos simetria?
how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?
Answer:
Greater than 15.
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = 3a
3a > 45
a > 15
What two number add up to 6 multiply by 8
the answer is four and two
100 POINTS!!!!!!!
Drag the tiles to match each measurement with an equivalent measurement.
measurement
6 pints ______________ for each line the answer is A.
16 pints ______________ B. C. or D. each answer is
8 fluid ounces ______________ used once.
8 pints ______________ A. 8 quarts B. 1 cup C. 1
gallon D. 12 cups
#1
1pint=2cups6pints=6(2)=12cups
1-D
#2.
16pints=
16(2)=32cups=8quarts#3
8fluid ounces=1gallon.
3(C)
Answer: #1
1pint=2cups
6pints=6(2)=12cups
1-D
#2.
16pints=
16(2)=32cups=8quarts
#3
8fluid ounces=1gallon.
3(C)
Find the area for the given shape below.
4 ft
9 ft
Answer: I can’t see the shape
Step-by-step explanation:
but I still we help you if you are finding the area if a rectangle, you multiply the length by width. Like if the rectangle length is 7 and the width is 9 they you multiply it together which you get 63. If you are trying to find a area of a triangle then, duplicate the triangle and try to make a rectangle then caculate area of the rectangle and divide that area by two. Like this photo
hope this helps
A student received a coupon for 10% off the total purchase price at the clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
x - 0.1x =
Answer:
All most there. buddy:-)
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Answer: A
Step-by-step explanation:
The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.
50 represents pounds per/box
x represents the number of boxes you can hold
400 represents the weight of the piano
1600 represents the max weight.
in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E
Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180
Answer:
your answer is B AB CE and BE DE
So mark me as brainliest
The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,
[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex] as diagonal of a parallelogram bisect each other.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.
m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.
learn more about parallelograms here :
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Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answer:
I dont know
Step-by-step explanation:
I really dont’ sorry
Penny and her cousins each have a different bank balance.what is the sum of all the accounts
Answer:
-2
Tell me if I'm wrong
easy algebra question below first correct answer gets brainliest
Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
[tex]x^2=4^2+7^2[/tex]
[tex]x^2=16+49[/tex]
[tex]x^2=65[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{65}[/tex] [∵Side length cannot be negative]
[tex]x\approx 8.06[/tex]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
Please help with the mean, median and range, look at the picture!
Answer:
Mean: 39 Median: 32.5 Range: 62
Step-by-step explanation:
First, you organize the numbers from least to greatest, so 10 15 19 46 72 72. The median is the middle number, so the average of 19 and 46( 32.5). The Range is the largest number minus the smallest number, so 62. and the mean is all the numbers added up, then divided by the amount of numbers, so 234/6 or 39.
plz help i will give brainliest
Answer:
x = 5
Step-by-step explanation:
If you have 19x, 7x, and 10x, they all have to be multiplied to equal 180 and be a real triangle. When all multiplied by 5, you can add up and it will equal 180.
You start at (0,0). You move up 7 units. Where do you end
Answer:
You end up at (0,7)
Step-by-step explanation:
You are moving upwards in the y-axis of a coordinate plane
Will mark brainliest ***
FIND THE VOLUME OF THE SPHERE. Use 3.14 for pi. ROUND TO THE NEAREST
WHOLE NUMBER
Answer:
28716
Step-by-step explanation:
plz mark branliest
Will every function have a hole? Why or why not?
Answer:
Step-by-step explanation:
yes
Find the surface area of the square pyramid if the slant height is 13 mm.
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Simple Question:
Find the surface area of the square pyramid if the slant height is 13 mm.
Options:
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Answer:
A) 264mm
Step-by-step explanation:
11 x 13 = 143 = 264mm
Question 1 of 10
Solve the proportion below.
-X/45=7/9
x=
O A. 5
B. 39
C. 35
O D. 43
What is the solution?
-4(3) - 3 = ?
Each bag of trail mix weighs 3/8 pound. The combined weight of a set of bags is 3 3/4 pounds How many bags are there?
Answer:
10
Step-by-step explanation:
3/ 8 is 0.375 while 15/4 is 3.75
so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags
Answer:
22
Step-by-step explanation:
(33/4)÷(3/8)
=8.25/.375
=22
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of __ pq.
Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
Answer: the correct answer is 16.8°C.
Step-by-step explanation:
Answer:
-16.8
the number is in the negatives because the temperature is dropping
I hope this helps
figure ABC has been dilated using a scale factor of 1/3 to produce figure A' B' C'. The origin is at the center of dilation
Answer:
A translation because it can map one angle onto another since dilation preserve angle measures of triangles.
Step-by-step explanation:
f(t)=t^2+19t+60
What are the zeros of the function and what is the vertex of the parabola?
Answer: [tex]-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]
Step-by-step explanation:
Given
Function is [tex]F(t)=t^2+19+60[/tex]
Zeroes of the function are
[tex]t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15[/tex]
Using completing the square method
[tex]y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]
5. Identify the function that is even.
And why
Answer:
A
Step-by-step explanation:
A random sample of the residents of two cities were asked whether they are right-handed or left-handed. The table summarizes the responses.
pls
Answer:
C
Step-by-step explanation:
I AM GIVING OUT BRAINLIST
answer all those
Answer:
18.71 19 18.71
Step-by-step explanation: