Answer:
f¹(x) = x - 3
To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.
Rewrite the function f(x) = x + 3
as the equation y = x + 3
Trade x and y.
x = y + 3
Solve for the "new" y.
= y + 3
3 - 3
Subtract 3 from both sides
y = x= 3
The symbol for the inverse is f-¹(x)
f¹(x) = x - 3
Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
draw a number line and locate all the integers between -3 and 3
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Here is another one if anyone can help me out
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
Abby bought 5 chocolate bars from the store. She gave 1/4 a bar to her firends. How many freinds got chocolate
Answer:
5
Step-by-step explanation:
Just 1/4 from each of 5 bars so 5.
Answer:
20
Step-by-step explanation:
So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too
HELP ASAP
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16
Answer:
C, 18.
Step-by-step explanation:
Since 24 divided by 8 is 3, which means that
8x3 = 24, then the amount of boys must be solved using the equation 6x3 which equals 18.
Solve for k.
14k+3k–16k=5
k=
Answer:
5Step-by-step explanation:
Solve for k.
14k+3k–16k=5
17k - 16k = 5
k = 5
How many lines of symmetry does the figure have?
A. 1
B. 5
C. 2
D. 0
Answer:
B. 5
Step-by-step explanation:
Kind of hard to explain why
Answer: B. 5
Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry
I really need help this is due in a little bit and I need to finish
Answer:
The correct form is [tex]y = -2x + 24[/tex]
Step-by-step explanation:
First we need to interpret the equation of Nolan.
The [tex]y[/tex] means the current value in the bank accountThe [tex]x[/tex] means the past days-2 means that spend each dayand 12 the initial amount in the bankHow you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.
So the correct form of the equation is:
[tex]y = -2x + 24[/tex]
Jamal had $25.00. He spent $9.00. Which decimal represents the fraction of the $25.00 that
Jamal spent?
A. 0.64
B. 0.36
C. 04
D. 06
Answer:
B. 0.36
Step-by-step explanation:
9/25 = x/100
9x100= 900
900 divided by 25 will be 36/100, so 0.36
which of the following does not require the use of chain rule to find dy/dx.
C. For each term in this expression, you can just apply the power rule.
[tex]y = 3x^2 - \sqrt x + \dfrac2x = 3x^2 - x^{\frac12} + 2x^{-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 2\cdot3x^{2-1} - \dfrac12 x^{\frac12-1} + (-1)\cdot2x^{-1-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac12 x^{-\frac12} - 2x^{-2}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac1{2\sqrt x} - \dfrac2{x^2}[/tex]
Every other choice involves composite functions that do require the chain rule to differentiate.
Option C : [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
The differentiation of [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] without using chain rule can be done as follows:
[tex]\begin{aligned}\dfrac{dy}{dx} &= \dfrac{d}{dx}(3x^2 - \sqrt{x} + \dfrac{2}{x})\\\\&= \dfrac{d}{dx}(3x^2 - x^{\frac{1}{2}} + 2x^{-1})\\&= 6x - (1/2)x^{-\frac{3}{2}} -2x^{-2}\\\end{aligned}[/tex]
The rest of the functions are composite, which means, that after differentiating them with some other base, you need to change the base and differentiate again, thus applying chain rule.
Thus, the function [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
Thus, option C: [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] is correct option.
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SOMEONE PLEASE HELP ME
Answer:
D
Step-by-step explanation:
0.4 = 4/10 = 2/5
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
9514 1404 393
Answer:
16 nickels
Step-by-step explanation:
Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...
$1.44/$0.09 = 16 . . . groups
Since there is 1 nickel in each group, Robert has 16 nickels.
Answer:
16
Step-by-step explanation:
thanks in advance ill mark brainliest
Answer:
x = 10
Step-by-step explanation:
the unmarked angle in the triangle is the supplement to 6x - 7
180 - (6x - 7)
180 - 6x + 7
187 - 6x
The sum of the angles in a triangle is 180
therefor
(2x + 7) + 26 + (187 - 6x) = 180
Combine like terms
-4x + 220 = 180
Subtract 220 from both sides
-4x = -40
divide both sides by -4
x = 10
HELP ME OUT PLEASE!!
For the formula shown, how many sulfur atoms are represented?
O 1
O 2
O 4
O 6
H₂SO₄ is Sulfuric Acid and the number of atoms Sulfur has is 4 atoms
What is a Chemical Formula?
A chemical formula is a formula that lists the constituent parts of a compound together with their relative proportions. No subscript is used if there is just one atom of a certain kind. A subscript is added to the symbol for an atom if it contains two or more of a certain type of atom.
Given data ,
The chemical is represented as H₂SO₄ which is Sulfuric Acid
Sulfuric acid has 2 atoms of Hydrogen , 1 atom of Sulfur and 4 atoms of Oxygen
As per the chemical formula , we can see that there is no subscript added to the Sulfur S in the chemical formula equation.
Therefore , The number of Sulfur atoms present in H₂SO₄ is 1
Hence , H₂SO₄ has only 1 sulfur atom
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Eric's jersey number is a two-digit odd number. The positive difference between the two digits is 7, and the sum of the two digits is 11. What is Eric's jersey number?
Answer:
29
Step-by-step explanation:
We first need to know what 1-digit numbers add up to 11.
One digit numbers that add up to 11 are:
2 and 9
3 and 8
4 and 7
5 and 6.
The only pair here who's difference is 7 is: 2 and 9.
9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.
Which graph shows all natural numbers less than 3?
Answer:
graph A shows all natural numbers less than 3
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
Which of the following inequality’s matches the graph? A: x ≤ 5 B: x ≥ 5 C: y ≤ 5 D: y ≥ 5 what is the answer
Answer: Choice A
[tex]x \le 5[/tex]
========================================
Explanation:
Any point in the shaded purple region has an x coordinate that is 5 or smaller. So we go for [tex]x \le 5[/tex]. Either x = 5 or x < 5. The boundary line is solid to indicate that points on the boundary are included in the solution set.
6d + 20b ≤ 150
Solve for D and B
The help is highly appreciated and the best answer will get brainliest
thank you
Answer:
solving for b is b ≤ 15/2 - 3d/10
solving for d is d ≤ 25 - 10b/3
Determine the number of solutions to the the equation: 2 (x - 3) + 9 = 5 + x - 1
Answer:
2×-6+9=5+×-1
2×-×=5-1+6-9
×=1
Please help me Asp please really fast
.Sort the numbers based on the number of significant figures they have.
Drag each tile to the correct location.
1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.
Let's check the significant figures one by one
[tex]\\ \sf\longmapsto 1,230=3[/tex]
[tex]\\ \sf\longmapsto 155.6=4[/tex]
[tex]\\ \sf\longmapsto 200=1[/tex]
[tex]\\ \sf\longmapsto 1245=4[/tex]
[tex]\\ \sf\longmapsto 8.88=3[/tex]
[tex]\\ \sf\longmapsto 22=2[/tex]
[tex]\\ \sf\longmapsto 136=3[/tex]
[tex]\\ \sf\longmapsto 8.880=3[/tex]
[tex]\\ \sf\longmapsto 0.01=1[/tex]
[tex]\\ \sf\longmapsto 20=1[/tex]
One Significant figure - 200, 0.01, 20
Two Significant figures- 22, 20.
Three Significant figures- 1,230, 8.88, 136
Four Significant figures- 155.6, 1,245, 8.880
PLATO
five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate
try to determine the kind of food each person brought and what color plate it was on
Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:
- no food begins with the same letter as the name of the person who brought it
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the dressing was not brought by Tom or Pam
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam
- Donna did not bring the black plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = RogerTherefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
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Help please tell me how to do this I don't know.
Answer:
Where are the values I can't read your qn properly my friend may the lord assist you
Four subtracted from x is less than 18.
Answer:
x - 4 < 18
Step-by-step explanation:
< means less than
> means more than
¿A donde llegas si sales de la escuela y avanzas PORFAVOR ES PARA MAÑANA
Answer:
a mi casa aunque no es lejos
pls help with 4 4/7 -
see attached pic
b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
HELP HURRY !! is the graph a function ?
Answer:
Yes.
Step-by-step explanation:
If you use the vertical line test, you'll see that the line only touches the graph at one point.
Function or non functional???
Answer:
The relation is a function.
Step-by-step explanation:
In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:
A relation is a function for which none of the ordered pairs have the same first component and different second components.
In the given relation:
The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.The given relation represents a function since none of the first components have the same corresponding second components. In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.
Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.
3^12*(2^x)^2 = 6^12 then x equals to..?
Answer:
x=6
Step-by-step explanation:
On a sunny day, Jameson casts a shadow of 11 feet and the lamppost in the parking lot casts a shadow of 66 feet. If Jameson is 6 feet tall, how tall in the lamppost?
Answer:
36 feet
Step-by-step explanation:
shadow/height = shadow/height
11/6 = 66/h
h = 66 * 6 / 11
h = 36