Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Answer:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Example:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Solution:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
Inverse functions, PLEASE HELP I’m stuck
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
The perimeter of the triangle below is 99 units. Find the length of side WX.
Write your answer without variables.
X
4z
wx = 0
Х
V
2 + 2
3z + 1
w
Check
Answer:
14
Step-by-step explanation:
Perimeter= 99
XV+VW+WX=99
4z+3z+1+z+2=99
8z+3=99
8z= 96
z=96/8
z= 12
WX= z+2= 12+2= 14.
Hope it helps :-)
Simplify by combining like terms -10+2(3x-1)+1
Answer: -11+6x
Step-by-step explanation:
Understand PEMDAS method (Operates from left to right)
ParenthesisExponentsMultiplication and DivisionAddition and SubtractionSOLVE:
Given
-10+2(3x-1)+1
Expand parenthesis
-10+6x-2+1
Use PEDMAS method
-10-2+1+6x
-12+1+6x
-11+6x
Hope this helps!! :)
Kinda confused!! need help!!
Answer:
I think last option is correct
Answer:
Option 2. EG, DH, CG, FH
Step-by-step explanation:
Skew lines are lines that do not lie on the same plane, and they also never intersectLet's verify options
Option 1
AC is an exception, it intersects ABOption 2
All good, all lines are skew with ABOption 3
GH is an exception, Can be on the same plane with ABOption 4
CD is an exception, can be on the same plane with ABSuppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
Answer:
[tex]B(x_2,y_2)= (20,12)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]Ratio; m : n = 1 : 3[/tex]
[tex]Point\ at\ 1 : 3 = (5,3)[/tex]
Required
Coordinates of B
This question will be answered using line ratio formula;
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
In this case:
[tex](x,y) = (5,3)[/tex]
[tex](x_1,y_1) = (0,0)[/tex]
[tex]m : n = 1 : 3[/tex]
Solving for [tex](x_2,y_2)[/tex]
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex] becomes
[tex](5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})[/tex]
[tex](5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})[/tex]
[tex](5,3) = (\frac{x_2}{4},\frac{y_2}{4})[/tex]
Comparing the right hand side to the left;
[tex]\frac{x_2}{4} = 5[/tex] -- (1)
[tex]\frac{y_2}{4} = 3[/tex] -- (2)
Solving (1)
[tex]x_2 = 5 * 4[/tex]
[tex]x_2 = 20[/tex]
Solving (2)
[tex]y_2 = 3 * 4[/tex]
[tex]y_2 = 12[/tex]
Hence;
[tex]B(x_2,y_2)= (20,12)[/tex]
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times. There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio 5 : 4 : 3 : 2 : 1. How many different tunes will a member who attended all meetings have heard during the year?
A655
B 705
C 880
D 930
Answer: It’s A, 655.
The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.
Given :
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times.There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio (5 : 4 : 3 : 2 : 1).The total number of slots is given by:
[tex]50\times 20 = 1000[/tex]
So, the total number of tunes in each slot is 1000.
The total number of remaining tunes is given by:
[tex]=1000-(400+450)[/tex]
= 150
According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.
So, the total number of tunes a member will hear is given by:
[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]
= 655
So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.
For more information, refer to the link given below:
https://brainly.com/question/23017717
Identities in maths 4sin30°cos45° What is the answer?
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
Solve the equation algebraically. x^2-7x-1/7=0
Answer:
[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]
Step-by-step explanation:
[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]
HELP ASAP !! Suppose line segment AB has one endpoint at A(0, 0). If (5, 3) is the midpoint of AB, what
are the coordinates of point B?
Answer:
(9,3)
Step-by-step explanation:
did the calculations
The co-ordinates of point B is ( 10, 6 ).
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question a line segment AB has one endpoint at A(0, 0) which is (x₁,y₁)
Given midpoint is at (5,3).
Let B is (x₂,y₂).
We know midpoint of x is (x₁ + x₂)/2 and midpoint of y is (y₁ + y₂)/2.
∴ 5 = ( 0 + x₂ )/2
5 = x₂/2
x₂ = 10.
AND
3 = ( 0 + y₂ )/2
3 = y₂/2
y₂ = 6.
( x₂,y₂ ) = (10,6)
learn more about midpoint here :
https://brainly.com/question/28224145
#SPJ2
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle L.
Answer:
L = 110 degrees
Step-by-step explanation:
all angles in a parallelogram are congruent
Answer:
How are you in college
Step-by-step explanation:
1 + 1 = 2
Suppose you deposit $134,000 into an account paying 8% simple annual interest, and that you won't touch the
account until it holds $1,000,000. How long must you wait?
Answer:
years. (Round your answer to the nearest year.)
Answer:
134,000x 0.08= 10,720= the money you get every year from interest
1,000,000/10,720= 93.28... or 93 years
Step-by-step explanation:
Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter
Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
Answer:
y - 5 = -3(x-1)
Step-by-step explanation:
We have the slope and a point
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 5 = -3(x-1)
How do we Round with any numbers, (on a number line) ?
Answer:
round it to the nearest 10th?
Step-by-step explanation:
that's what I do at least.
Answer: Round up or down.
Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.
The length of AB = in ?
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
round to 2 decimal 0.314
Answer:0.300
Step-by-step explanation:Just took something familiar
Answer:
0.31
Step-by-step explanation:
It is estimated that 50% of emails are spam emails. Some software has beenapplied to filter these spam emails before they reach your inbox. A certain brandof software claims that it can detect 99% of spam emails, and the probabilityfor a false positive (a non-spam email detected as spam) is 5%.Now if an email is detected as spam, then what is the probability that it isin fact a non-spam email?
Answer:
P(Non-Spam/Spam Detected) = 5/99
Step-by-step explanation:
To determine the probability that it is in fact a non-spam email, we will employ the use of Bayes Theorem: P(A/B) = (P(B/A) x P(A)) / P(B).
P(Spam) = P(Non-Spam) = 0.5
P(Spam Detected) = P(Spam) * rate of detection = 0.5 * 0.99
P(Detected/Non-Spam) = P(false positives) = 0.05
Using Bayes Theorem, P(Non-Spam/Spam Detected) = ( P(Spam Detected/Non-Spam) x P(Non-Spam) ) / P(Spam Detected)
= 0.05*0.5 / 0.5*0.99
= 5/99
Using conditional probability, it is found that there is a 0.0481 = 4.81% probability that it is in fact a non-spam email.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Email detected as spam.Event B: It is a non-spam email.The percentages of emails detected as spam are:
99% of 50%(spam emails).5% of 50%(non-spam emails).Hence:
[tex]P(A) = 0.5(0.99) + 0.5(0.05) = 0.52[/tex]
The probability of an email being detected as spam and not being spam is:
[tex]P(A \cap B) = 0.5(0.05)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5(0.05)}{0.52} = 0.0481[/tex]
0.0481 = 4.81% probability that it is in fact a non-spam email.
A similar problem is given at https://brainly.com/question/14398287
The temperature outside in -5°C on Monday. Overnight it drops by 3°C. Between 9 am and noon the next day it rises 2°C. What is the temperature on Tuesday at noon?
Answer:
-6
Step-by-step explanation:
-5-3=-8
-8+2=-6
you subtract 3 from the Total temperature then and 2 to the answer
change to a fraction 3.025
Answer:
3.025 as a fraction is 121/40
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this
What is 45divided by 9 ?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
45 ÷ 9
Answer:
5
Hope This Helps :)
There are 958 students in Central High
School. There are 50 more girls than boys.
How many boys are there?
Answer:
Step-by-step explanation:
958/2=479= half of the students
479-50=429
There are 429 boys
3) At a barbecue, there are 68 hotdogs being grilled, and there are 34 people. How many hotdogs does each person get? (You can use a calculator) 68 II 8 Hotdogs People 34 Answer: hotdogs for each person
Answer:
2 hotdogs for each person
Step-by-step explanation:
5. Michelle feeds her fish 20 grams of fish food a day. How many kilograms of fish food does Michelle use in 8 weeks? Show your work
(A) 0.112
(B) 1.12
(C) 11.2
(D) 112
Answer: (B) 1.12
Step-by-step explanation:
8 weeks = 56 days
56 days x 20 grams = 1120 grams
1120 grams = 1.12 kilograms
Suppose that the number of miles that an EV battery (electric vehicle) can run before its battery wears out is exponentially distributed with the average value of 100,000 miles. If a car manufacturer decides to install this type of battery to power the vehicle, do the following: 1) What percentage of the cars will fail at the end of 50,000 miles
Answer:
The value is [tex]P(X = 50,000) = 6.07*10^{-6}[/tex]
Step-by-step explanation:
From the question we are told that
The average value is [tex]E(x) = 100000 \ miles[/tex]
Generally the exponential distribution function is mathematically represented as
[tex]f(x) = \{ \left \theta* e^{-\theta * x } \ ; \ \ \theta >0} \atop {0 \ ; \ otherwise }} \right.[/tex]
Here [tex]\theta [/tex] is a constant which is mathematically represented as
[tex]\theta = \frac{1}{E(x)}[/tex]
=> [tex]\theta = \frac{1}{100000}[/tex]
=> [tex]\theta =1 *10^{-5}[/tex]
So at x = 50,000 miles (given)
[tex]f(50000) = 1 *10^{-5} * e^{-1*10^{-5} * 50000}[/tex]
[tex]f(50000) = 6.07*10^{-6}[/tex]
So the percentage of the cars will fail at the end of 50,000 miles is
[tex]P(X = 50,000) = 6.07*10^{-6}[/tex]