Answers
Answer:
[tex]f^{-1}[/tex] (x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 6 - 4x
Related Questions
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answers
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)
Answers
Answer:
327.5
Step-by-step explanation:
8452/23 = 327.478
Round to about 327.5 books per class
Answer:
each class gets 367 books
what is 18 kg in grams
Answers
Answer:
18 000
Step-by-step explanation:
One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.
Which division problem is modeled
Answers
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.
Answers
Dante is incorrect because point P is not the circumcenter of the triangle.
What is the circumcenter of a triangle?The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.
How to identify a circumcenter?There are some simple characteristics to determine if a circumcenter is correct.
All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.
Learn more about triangle in: https://brainly.com/question/25813512
what is a trinomial?
Answers
Answer:
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
An algebraic expression of three terms
Step-by-step explanation:
A trinomial consists of 3 terms connected to one another by + or - sign(s).
Examples: x^2 - 2x - 5 is a trinomial: Its 3 terms are arranged in descending order by powers of x.
please dont give a useless answer
Answers
Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b
Answers
Answer:
y= -¾x + 19/4
Step-by-step explanation:
get gradient and substitute
(2x-3)(-2x^2-5x-8)
(2x−3)(−2x
2
−5x−8)
Answers
Answer:
16 x 6 + 32 x 5 +24 x 4 − 184 x 3− 191 x2−48 x + 576
Please help me with this
Answers
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8
What is the slope for this table?
Answers
=======================================================
Explanation:
Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:
x = 0 and y = 4x = 1 and y = 1They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.
m = (y2-y1)/(x2-x1)
m = (1-4)/(1-0)
m = -3/1
m = -3
The slope is -3
Answer:
is not proportional
Step-by-step explanation:
10/-2= -5
7/-1=-7
4/0=0
1/1=1
-2/2=-1
-5/3= -1 2/3
OMG help.
What is 1+1?
Answers
Answer:
2
Step-by-step explanation:
Hahaha thank you
Answer:
2
Step-by-step explanation:
1 plus 1 is two use ur fingers
5
7
2
8
1) what is the area (square units)
Answers
Explanation: multiply everything together
[tex]\sf 78-2x=87-3x[/tex]
Answers
Answer:
x = 9
Step-by-step explanation:
78 - 2x = 87 - 3x
3x - 2x = 87 - 78
x = 9
x = 9
Step-by-step explanation:
=> 78-2x= 87 -3x
=> 78-87=-3x+2x
=> -9 = -x
=> x = 9
Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.
Answers
Answer:
125
Step-by-step explanation:
6.25 x 20 = 125
solve |8y+4|=2|y-1|
please show the work!
Answers
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1
which temperature is lower -6 or 3
Answers
Answer:
-6
Step-by-step explanation:
this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.
find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answers
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°Solving the quadratic equations using by completing the square.
Answers
Step-by-step explanation:
1-
(x+3)(x+5)=0
2-
(x-3)(x+1)=0
3-
(x-2)(x+2)=0
4-
(x+3)(x-1)=0
5-
(x-4)(x+8)=0
if it is right
please give me a brainlest
2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips
Answers
Answer:
Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.
please answer fast i need it
Answers
Answer:
AB = 2.625
Step-by-step explanation:
BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia
[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )
10 AB = 6(7 - AB) ← distribute
10 AB = 42 - 6 AB ( add 6 AB to both sides )
16 AB = 42 ( divide both sides by 16 )
AB = 2.625
Can someone please help!!
Answers
Answer:
d
Step-by-step explanation:
40 is the exact amount from a,b,back to c
[tex]\boxed{\sf 2x+31=5}[/tex]
Answers
2x + 31 = 5
2x = 5 - 31
2x = -26
x = -26/2
x = -13.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
[tex] \sf \: 2x + 31 = 5[/tex]
[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]
[tex]\sf \longmapsto \: 2x = -26[/tex]
[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]
[tex]\sf \longmapsto \: x = - 13[/tex]
[tex] \boxed{\sf - 13}[/tex]
Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?
Answers
Answer:
pretty sure 60, 5 x 12
Step-by-step explanation:
just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each
You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delivery?
Answers
Answer:
199.50
Step-by-step explanation:
Given the 3.50 payment for every case delivered to a store:
This means that you will earn 199.50 for delivering 57 cases, because:
57 cases × 3.50 each case = 199.50
Therefore, you will be paid 199.50 for that delivery.
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answers
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
To learn more about the volume;
https://brainly.com/question/23477586
#SPJ2
Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.
The new graph will have equation y =
Answers
Answer: f(x)=3(x+4)+ 8
Step-by-step explanation:
Stretch vertically by a factor of 3: y = 3x
Then, translate two units leftward: y = 3(x+2)
Then, translate 8 units upward: y = 3(x+4)+ 8
The angle measurements in the diagram are represented by the following expressions.
Answers
Answer:
114 degrees
Step-by-step explanation:
6x+12=3x+63
-3x -12 -3x -12
3x=51
x=17
6(17) +12 = 114
1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463
b) 320 376, 409 217, 317 758, 329 000, 320 768
Answers
b) 317758, 320376, 320768, 329000, 409217
it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour
Answers
Answer:
Step-by-step explanation:
Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.
If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:
(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.
