y=o.25x+3 is your equation.
Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]
However after this I do not see how I can get another value other than 5.
Answer:
[tex]x=5,-5[/tex]
Step-by-step explanation:
[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]
Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?
Select The correct Description giving brainliest:)
Answer:
D. The quotient of a difference and a number
Step-by-step explanation:
its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)
Answer:
C!!!!
Step-by-step explanation:
69 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
Answer:
The order of finishing is important here, therefore you use permutations rather than combinations. Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance
69P3 = 69! / (69 -3!)
Step-by-step explanation:
3/4 (x-12) = 12
solve for x
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
Graph the image of the figure after a rotation of 90° counterclockwise.
A bank teller has 47 $20 and $5 bills in her cash drawer. The value of the bills is $490. How many $20 bills are
there?
Answer:
A bank teller has 47 $20 and $5 bills.
The value of the bills is $490.
Number of $20 bills --> x
Number of $5 bills --> y
x + y = 47 --> x = 47-y
20x + 5y = 490 --> 20x = 490-5y
so
20(47-y) = 490 -5y
940-20y = 490-5y
940-490 = -5y+20y
15y = 450
y= 30
so
x = 47-30
x = 17
IN TOTAL --> 17 $20 bills and 30 $5 bills.
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
Order of Operations: BPEMDASMultivariable SystemsStep-by-step explanation:
Step 1: Define variables
x = # of $20 bills
y = # of $5 bills
Step 2: Set up systems of equations
[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]
Step 3: Solve for x
Rewrite: [tex]\left \{ {{y=47-x} \atop {20x+5y=490}} \right.[/tex]Substitute: [tex]20x+5(47-x)=490[/tex]Distribute 5: [tex]20x+235-5x=490[/tex]Combine like terms: [tex]15x+235=490[/tex]Subtract 235 on both sides: [tex]15x=255[/tex]Divide both sides by 15: [tex]x=17[/tex]By solving for x, we now know that we have 17 $20 bills.
Step 4: Solve for y
Define: x + y = 47Substitute: 17 + y = 47Subtract 17 on both sides: y = 30Now we know that we have 30 $5 bills.
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18
Answer:
Option 3: 12 is the correct answer.
Step-by-step explanation:
Given functions are:
[tex]f(x) = 16x-30\\g(x) = 14x-6[/tex]
In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of that will make (f-g)(x)
So,
[tex](f-g)(x) = f(x) - g(x)\\= (16x-30)-(14x-6)\\=16x-30-14x+6\\= 2x-24[/tex]
Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0
[tex](f-g)(x) = 0\\2x-24 = 0[/tex]
Adding 24 on both sides
[tex]2x-24+24 = 0+24\\2x = 24[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2} = \frac{24}{2}\\x = 12[/tex]
For x=12, (f-g)(x) will be zero.
Hence,
Option 3: 12 is the correct answer.
Answer:
C got it right on edge 2022
Step-by-step explanation:
3x + 17 < 47
43<8x-9 can you answer this ASAP please !!!
Answer:
3x + 17 < 47 solving for x = x<10
43<8x-9 solving for x = x = 13/2
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answer:
It's the first answer.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
what is 3t – 6 = t –2.
Answer:
t=2
Step-by-step explanation:
3t-6=t-2(Group like terms)
3t-t=-2+6
2t=4(Divide both sides by 4)
t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)
Simplify the following radical:
84
Answer:
±2√21.
Step-by-step explanation:
First, you break 84 down into √4⋅√21.
That is equal to ±2√21.
Hope I helped! Please mark Brainliest!
Answer: 2√21
The answer is 2 radical 21
Step-by-step explanation:
If you went to school at 7:55 a.m. what time will it be in 4 hours?
Answer: 11:55 I hope this helps Have a nice day
Step-by-step explanation:
where does 3.5 belong o the venn diagram
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answer:
I think it is 200
but I am not very sure
Write an equation of the line that passes through point (2, −4) and has the slope m=12.
HUrry please
I dont know man help please
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
the inverse of the function
Answer:
B
Step-by-step explanation:
f^-1(x)=3x/7-9/7
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.
Answer:
.68.0314 m/s
.42.272752125mph
68.0314km/h
Step-by-step explanation:
You start at (-5, 5). You move right 4 units and left 2 units. Where do you end?
Answer:
(-1,3)
Step-by-step explanation:
for the x coordinate all you do is -5 + 4 because you are moving right, and moving right is positive, so if you are moving to the positive direction you add
for the y coordinate you have to do 5 - 2 because you are going left, and left is negitave, so you subtract
Help me with this, anyone.
Answer: y=13, A. f(x)=13
Step-by-step explanation:
Answer:
y=13, A. f(x)=13
Step-by-step explanation:
What is the fourth term in a sequence defined by f(n) = 2n?
Answer:
8
Step-by-step explanation:
When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.
What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n. Since n is replaced with 4, we do the same with the sequence.
2(4)
Multiply
8
Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?
Answer:
4 rides
Step-by-step explanation:
36.75-10.5= 26.25 cost of admission
26.25 divded by 5.5= 4.7777777
so 4 rides with left over change
Answer:he can buy 4 tickets
Joaana saves nickels and quarter in a jar
Answer:
The jar problem
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
She looked to see if she had enough coins to fix her car
She didn't so she went on the side of the street to play her guitar
She played for money by a food bar
She worried she wouldn't make a lot
So she bet illegally on some chickens that fought
She was scared the cops would come and she would get caught
The saw the cops coming and her eyes lit up like a match
She grabbed $500 and she was one they wouldn't catch
It turns out she only needed $10 to fix a tiny scratch
She only had $5 is coins in her jar
Now she has $500 and can fix her car
Hope this helps ya! Keep smiling!
If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes
Answer: 15
Step-by-step explanation: 5/6 times 18 = 15 hours
mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over
Answer:
Each friend would get 3 slices and there would be 2 slices left over.
Which expression has the same value as 4÷25 in fraction form
Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
It is 11:45 AM when can you put the bread in the oven if the brain needs to bake for 30 minutes what time will the bread finished baking
Answer:
The bread will be done baking at 12:15
Step-by-step explanation:
11:45+30=12:15
Answer:
12:15 pm
Step-by-step explanation:
30 minutes is two sets of 15 minutes
15+45=60
Therefore, 12:00pm is 15 minutes of back time
Add the second set of 15 minutes and you get 12:15 pm
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60