Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
Happy world teachers day! Hope any teachers out there who are reading this have a good day <3
Answer:
nice :)
Step-by-step explanation:
4x -2 + 5x + 6
What does this equAl
Answer:
9x + 4
Step-by-step explanation:
Step 1: Write expression
4x - 2 + 5x + 6
Step 2: Combine like terms (x)
9x - 2 + 6
Step 3: Combine like terms (constants)
9x + 4
Answer:
9x + 4
Step-by-step explanation:
5.) Evaluate the function. f(x)=8x+9 for f(5). Show your work and write your
answer in function notation.
Answer:
49
Step-by-step explanation:
f(5)=8×5+9=40+9=49
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number
Answer:
33%
Step-by-step explanation:
The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction
The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.
The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.
So the probability of a card being a Jack given that it is a face card is:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.
Given that,
In a well-shuffled, standard 52 card deck,
We have to determine,
What is the probability that a card is a Queen, given that it is a black card?
According to the question,
There are 52 card decks,
Let, the card being a jack is A and the card being a face card is B,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]
Then,
The probability of the card is a jack and a face card:
[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]
All jacks are face cards.
And the probability of there being a face card is,
[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]
There are 12 face cards in a deck.
Therefore,
The probability of a card being a jack given that it is a face card is,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]
Convert the probability of a card being a jack given that it is a face card into a percentage,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]
Hence, The probability of a card being a jack given that it is a face card is, 33%.
For more details refer to the link given below.
https://brainly.com/question/15165308
x2 - xy (if x = 8 and y = -3)
Answer: 40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
just subsitute and when their all sticking together it’s automatically multiplication.
8(2) - (8)(-3)
16- - 24
16+24
40
Plz help me find what ∠2 is measured to.
Answer:
73
Step-by-step explanation:
180-107=73
angle 1 is congruent to angle 3 which is 107 degrees
The numbers 8, 1, −7, −12 are listed from greatest to least.
True or False
Answer:True
Step-by-step explanation:
Classify the data of the heights of ladders produced by a tool company.
Complete Question:
1. Classify the data of the heights of ladders produced by a tool company.
Group of answer choices :
Statistics
Qualitative
Classical
Quantitative
Answer:
The data of the heights of ladders produced by a tool company is:
Quantitative
Step-by-step explanation:
The heights of ladders are stated in numbers. Quantitative data give information about quantities or numbers. They can be measured with certainty. They are not like qualitative data which are descriptive and cannot be easily measured unless classified in some ways. Quantitative measurements associate measurement units to data, e.g. meters and feet. For example, the heights of persons, buildings, or things like ladders can be measured quantitatively in meters and feet. Another feature of quantitative data is that arithmetic operations can be performed on the data.
Find the measure of the third angle of a triangle given the measures of two angles.
34 and 88
Answer:
58
Step-by-step explanation:
All three angles of a triangle have to add up to 180. Given this we can do the following problem:
180-34-88 = 58
Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12
Answer:
If so then this table is linear
Step-by-step explanation:
when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear
The 24 students in Mr. Brown's homeroom sold 72 magazine subscriptions. The 28 students in Mrs. Garcia's homeroom sold 98 magazine subscriptions. Whose homeroom sold more magazine subscriptions per student? Be sure to include examples as you explain your reasoning. *
Answer:
see below
Step-by-step explanation:
Mr. Brown
72 magazines/ 24 students = 3 magazines per student
Mrs. Garcia
98 magazines/ 28 students = 3.5 magazines per student
Mrs. Garcia sold more per student
anyone know how to measure angles?
Answer:
With a protractor
Step-by-step explanation:
A business supply store bought some merchandise with a list price of $13,800. The wholesaler extended a trade discount that made the net price $8,970. Find the trade
discount rate (as a %).
Answer:
The discount rate is %35! :)
Step-by-step explanation:
If 2 triangles are similar which of the following conclusions can you make
Answer:
what
Step-by-step explanation:
what's the rest of the problem
please help 50 points
Answer:
|J| = -40
Step-by-step explanation:
The determinant of a 2×2 matrix is the difference between the product along the down diagonal and the product along the up diagonal:
|J| (-2)(8) -(4)(6) = -16 -24
|J| = -40
Answer:
|J| = -40
Step-by-step explanation:
how do you estimate 17 1/5 divided by 3 4/5
Answer:
5
Step-by-step explanation:
Rounding 801,504 to the nearest thousand
Answer:
802,000
Step-by-step explanation:
802,000
Since there is a 5 in the hundreds place, the 1 in the thousands place rounds up to a 2.
Answer:
802,000
Step-by-step explanation:
Because round to the nearest 1,000 and and 802,000 is the nearest.
Solve for b. 3b+2(b-3)=4
10c - cd + d (if c= -6 and d = 2)
Answer:
74
Step-by-step explanation:
Substitute the values of the variables into the equation. Good luck on your math journey!
What is the slope of the line represented by the equation 3x+4y= 12?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answer:
b. -3/4
Step-by-step explanation:
What is the center of the circle represented by the equation x2 + y2 - 4x + 2y + 1 = 0?
Answer:(2,-1)
Step-by-step explanation:
The required center of the given circle is given as (2, -1).
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.
Here,
The standard form of the equation of the circle s is given as,
x² + y² -2hx -2ky + c = 0
Given the equation of the circle is
x² + y² - 4x + 2y + 1 = 0
Comparing the equations,
-2h = -4
h = 2
-2k = 2
k = -1
Thus, the required center of the given circle is given as (2, -1).
Learn more about circle here:
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The following frequency distribution shows the number of magazine
subscriptions per household for a sample of 60 households. Find the mean
number of subscriptions per household.
Number of magazines 0 1 2 3 4 5 6
Frequency
13 9 19 8 5 2 4
Answer:
2.0833333 or 25/12
Step-by-step explanation:
multiply each number of magazines by the frequency
0*13=0
1*9=9
2*19=38
3*8=24
4*5=20
5*2=10
6*4=24
Then add them all up,
9+38+24+20+10+24=125
Since there are 60 households, divide by 60
125/60= 2.083333 or 25/12
hello i am depresed
please
help
Answer:
Try relaxing, forget all problems at once, take deep breaths, because if you stress it could cause headaches. Listen to calming music, take a break every once in while. Try not to focus on the bad things that happened in your past! Focus on the good things in future that your smartness is allowing you to achieve! Trust me focusing on the bad things in life cause major headaches...never look back always look forward
the diameter of a circle is 12.6 cm find its perimeter
10. Mark ran 3 miles everyday for 2 weeks. How far did mark run in all?
Answer:
42 miles
Step-by-step explanation:
2 weeks= 14 days
3 miles everyday times 14
= 42 miles
5 + 7x= 11 + 7x (solve the equation)
A0
B14
C infinitely many solutions
D no solution
Can someone pls help :)
Answer:
D no solution :)
In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey
Answer:
900 people
Step-by-step explanation:
.36x=324
×=324÷.36
x=900
900 people were in the survey.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
324 indicated that they regularly work more than 45 hours a week.
and 36% of those surveyed.
let the total people surveyed be x
36% of x= 324
36 x/100 = 324
36 x = 32400
x= 32400 / 36
x= 900
Hence, total 900 people are surveyed.
Learn more about Percentage here:
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!!!!PLEASE HELPPPP ITS DUE SOON!!!!
Answer:
can u please attach the photo
Step-by-step explanation:
i cannot see it clearly
What is the weight of Jim's dog? Jim's dog is
lbs *
1 pc
16.23 lb
Weight of John's Dog
Weight of Jim's Dog
?
?
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question:
Our word problem could.
The relationship between weight of Jim's dog and John's dog is shown below.
a. Calculate the weight of John's dog?
b. Calculate the difference in weight of both dogs?
Solution:
a. Weight of John's Dog
Given
Represent John's dog with J and Jim's dog with D
[tex]J = 16.23\ lb[/tex]
From the attachment, we can see that.
[tex]D = \frac{1}{3} * J[/tex]
[tex]D = \frac{1}{3}J[/tex]
To solve for D, substitute 16.23 for J
[tex]D = \frac{1}{3} * 16.23[/tex]
[tex]D = 5.41[/tex]
Hence: Jim's Dog is 5.41lb
b. Difference in Weight
Difference is calculated as thus:
[tex]Difference = J - D[/tex]
[tex]Difference = 16.23 - 5.41[/tex]
[tex]Difference = 10.82[/tex]