f(x) = 1/4x-3
When f(x) = -1,
= 1/4(-1)-3
= -13/4
Answer
-2.25
Step-by-step explanation:
(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25
Without using a calculator, order the following expressions from least to greatest.
Here we want to order from least to greatest the following expressions:
7.12 = 7.121212...
√75
√45
We will find that the order is: √45 < 7.12 < √75
remember that:
√x = y
such that:
y*y = x
From this, is easy to see that:
√45 < √75
Now to see where 7.1212... enters, we need to compute:
(7.1212...)*(7.1212...) = (7 + 0.1212...)*(7 + 0.1212...)
= 7*7 + 2*7*0.121212... + 0.1212...*0.1212...
= 49 + 2*7*0.121212... + 0.1212...*0.1212... > 45
So we know for sure that:
7.12 > √45
And 8*8 = 64 < 75
then:
7.12 < 8 = √64 < √75
For transitivity, we have:
7.12< √75
Then the order, from least to greatest, is:
√45 < 7.12 < √75
If you want to learn more, you can read:
https://brainly.com/question/21548193
Solve: 2x-3 = 5(x + 6) O A. x=33/7 A. X = 7 O B. x=-11 O C. x= -9 O D. x= -3
Answer:
B -11
Step-by-step explanation:
2x-3=5x+30
or,2x-5x=30+3
or,-3x=33
x=-11
What are the answers for the 4 questions below. Please answer all 4 questions. I really need the help thank you.
Answer:
Below
Step-by-step explanation:
18. DHJ
19. AJB
20. 75
21. 130
Financial advisors counsel young people to start saving early for their retirement. Explain why an early start is important.
Answer:
The more money you invest and the earlier you start means your retirement savings will have that much more time and potential to grow and investing early you can be able to take advantage of compound earnings.
Step-by-step explanation:
Find the range of the data in the box plot below.
Magnitude of earthquakes
0 1 2 3 4 5
6 7 8 9 10
What is the range?
The range of the given magnitude is 10.
What is Range?The range is the difference between the largest value and the smallest value, is the simplest measure of variability in the data. The range is determined by only the two extreme data values.
Here, given data;
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Range = Upper limit - Lower limit
= 10 - 0
= 10
Thus, the range of the given magnitude is 10.
Learn more about Range from:
https://brainly.com/question/17553524
#SPJ1
Dino has $1,000 in a savings account that was started for him when he was born. He has a part-time job where he earns $60 each week, and he puts $20 of that into his account each week. An equation could be used to model the amount in his account, y, after x weeks.
Which statements are true about a graph of the equation that will show his account balance during a year? Check all that apply.
A. The x-axis should be labeled from 0 to 12 months since you want to see the change over a year.
B. The x-axis should be labeled from 0 to 52 weekss since you want to see the change over a year.
C. The y-axis should be labeled from $0 to $1,000 since the money in the account will not go above $1,000.
D. The y-axis should be labeled from $0 to $1,300 since the money in the account will not go above $1,300.
E. The y-axis should be labeled from $750 to $1,000 since that is the approximate range of y-values for the year.
F. The y-axis should be labeled from $1,000 to $2,100 since that is the approximate range of y-values for the year.
Answer:
A and B make the most sense.
the product of a number squared and 4
60000/23/35767755x100000=? whats he answer?
Answer:7.293428542
Step-by-step explanation:Calulator :D
Need help. Image is attached below.
Answer:
A
Step-by-step explanation:
the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4
filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1
What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:
Answer:
4
Step-by-step explanation:
Step 1:
6x - 8 = 4x Equation
Step 2:
6x = 4x + 8 Add 8 on both sides
Step 3:
2x = 8 Subtract 4x on both sides
Step 4:
x = 8 ÷ 2 Divide
Answer:
x = 4
Hope This Helps :)
A drag racer accelerated from 0 m/s to 200 m/s in 5 s.what was the acceleration
Answer:
40 m/s/s.
Step-by-step explanation:
Acceleration = velocity / time
= 200 / 5
= 40 m/s/s.
Answer:
a = 40m\s^2
Step-by-step explanation:
acceleration is the change of velocity in a certain time interval, which means that it is equal to ( V final - V initial ) \ t
so acceleration here is ( 200 - 0 ) \ 5
which is equal to: 40 m\s^2 and that means that the racer is speeding up by 40 meters each second
Hope it helps! :)
The hoffman family has bought one pizza on Friday night every week for the last 10 years. How many pizzas have they bought on Friday night
Answer:
520 Pizzas
Step-by-step explanation:
Given
[tex]Duration = 10\ years[/tex]
Required
Determine the total number of Pizzas
Since, the Pizza is bought on a weekly basis
and there are 52 weeks in a year.
Number of Pizzas (P) is calculated as thus:
[tex]P = 52 * Duration * Pizzas[/tex]
[tex]P = 52 *10 * 1\ Pizza[/tex]
[tex]P = 520\ pizzas[/tex]
6(1+x)+x=-14
Please help solve for x
Answer:
X is equal to -10
Step-by-step explanation:
#1. Multiply 6 to (1+x). Doing this makes this equation: 6+x+x=-14
#2. Move 6 to the other side of the equation, to the side of the answer and change its abbsolute value. Doing this will make x+x=-14-6.
#3. Simplify both sides. 2x=-14-6 ----> 2x=-20
#4. divide -20 by 2, this equals -10. x is equal to -10. WooHoo!
Answer:
Answer x=-[tex]\frac{20}{7}[/tex]
Step-by-step explanation:
6(1+x)+x=-14
(multiply bracket with 6)
6+6x+x=-14
(-6 for both sides)
6x+x=-20
(add x terms together)
7x=-20
(divide by 7 for both sides)
x=-[tex]\frac{20}{7}[/tex]
15 POINTS TO THE FIRST TO ANSWER
Simplify the expression. SHOW ALL STEPS for full credit!
(x-2)(-2x^2 - 4x + 6)
halp pls will give brainlkiest
Answer:
The 1st one
hope this helped :)
How do you do this question?
You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.
Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.
Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.
Eg: (-7)^2 = 49 and (-3)^4 = 81
This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.
Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]
So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]
And it's why choice E is not one of the answers.
-------------------------
To summarize:The 3 answers are A, C, and DCamry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following.
1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The matched pairs are as follows:
Population: 2. All Toyota Camry (2020 US) model cars.
Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.
Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.
Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
What is the largest three-digit number divisible by 24 and 54?
Answer:
The largest three-digit number divisible by 24 and 54 is:
864Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
[tex]\frac{999}{24}=41.625[/tex]With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).24*40= 960/54= 17.77 (this is not).24*39= 936/54= 17.33 (this is not).24*38= 912/54= 16.88 (this is not).24*37=888/54= 16.44 (this is not).24*36= 864/54= 16 (This is the correct).Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
[tex]\frac{864}{24}=36[/tex][tex]\frac{864}{54}= 16[/tex]
-2=k+7/3. solve for k
Answer:
K=-13
Step-by-step explanation:
-2=(k+7)/3
-6=k+7
-13=k
Write a sentence about anything you want using the ratio 4: 2. (Hint Start with the words "For every")
Answer:
For every four cookies, there are two glasses of milk.
OR
For every four scoops of ice cream, there are two plates.
Step-by-step explanation:
Anything works really, just make sure it make sense.
Hope this helps :-)
which of the following is equal to 1.66 in lowestterm? a.166/1000 b.166/100 c.58/50 d.29/25
================================================
Work Shown:
1.66 = 1.66/1.00
1.66 = 166/100
1.66 = 83/50
In the second step, I moved the decimal point over to the right two spaces for each value. So 1.66 turns into 166 and 1.00 turns into 100. This is the same as multiplying top and bottom by 100.
In the third step, I divided both parts by the GCF 2. So 166/2 = 83 and 100/5 = 50.
You should have 83/50 in your answer choices, but it's not listed. So the next best thing is 166/100.
) A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed. 1. What is the probability that exactly two are from the membe
Complete Question
A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed.
1. What is the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed.
Answer:
The value is [tex]P(U) = 0.5091[/tex]
Step-by-step explanation:
From the question we are told that
The number of member is n = 11
The number of member who are in favor of the project is k = 7
The number of members who rejected the project is h = 4
Generally the number of way of selecting the first three member left out of the 11 members is mathematically represented as
[tex]F = ^n C _r[/tex]
Here r = 3 and C stand for combination , so using a combination calculator we have
[tex]F = ^{11} C _3 = 165[/tex]
Given that out of the first three members that left 2 of the members accepted the project i.e U = 2
The number of way of selecting the 2 members from the total 7 members that accepted the project is
[tex]G = ^{7} C _2[/tex]
=> [tex]G = 21[/tex]
Given that two members out of the first three accepted the project it means that the remaining one person rejected the project, the number of ways of selecting this one person from the 4 that rejected the project is mathematically represented as
[tex]U = ^4 C_1[/tex]
=> [tex]U = 4[/tex]
Generally the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed is mathematically represented as
[tex]P(U) = \frac{G * U}{F}[/tex]
[tex]P(U) = \frac{21 * 4}{165}[/tex]
[tex]P(U) = 0.5091[/tex]
Mr. Anderson decides to visit a childhood friend. His car gives him 24.22 miles to the gallon. Mr. Anderson has 6 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 72.66 miles.
B.
Mr. Anderson can travel 109.32 miles.
C.
Mr. Anderson can travel 181.32 miles.
D.
Mr. Anderson can travel 145.32 miles.
Answer:
D, 145.32 miles
Step-by-step explanation:
distance (24.22) divided by the amount of fuel (6 gallons) will give unit rate.
Justify each step.
3•(10•12)=3•(12•10)
=(3•12)•10
=36•10
=360
Answer:
3•(10•12)=3•(12•10) = 360 = True
Step-by-step explanation:
left-hand side Simplify the following:
3×10×12
10×12 = 120:
3×120
3×120 = 360:
Answer: 360
______________________
Right-hand side:
Simplify the following:
3×12×10
Hint: | Multiply 12 and 10 together.
12×10 = 120:
3×120
Hint: | Multiply 3 and 120 together.
3×120 = 360:
Answer: 360
Which of the following relationships does NOT represent y as a function of x ?
a) y^3 = x
b) y = 1/x
c) y = x^2
d) y^2 = x
Step-by-step explanation:
A constant regarding force of 10 Newton is exerted to a body of mass 20 kg moving initially with a speed of 10 meter per second how long does the body take to stop
Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make
Answer:
Jake will make 8$
Step-by-step explanation:
20/5=4
4x2=8
question pictured. 15 pooints
Answer:
imagine
Step-by-step explanation:
lol there no picture but lets say its invisible
Given 4,-1 and 0,5 write the equation
Answer:
[tex]y=-\frac{3}{2}x+5[/tex]
Step-by-step explanation:
If you are referring to the equation that passes through these two points:
the slope of (4,-1) and (0,5) is [tex]\frac{-1-5}{4-0} = \frac{-6}{4} = -\frac{3}{2}[/tex].
Using slope-point with (0,5): [tex]y-5=-\frac{3}{2}(x-0)[/tex]
Solving that you get [tex]y=-\frac{3}{2}x+5[/tex]
Please I need help 20 POINTS!
The question States: come up with a story problem that matches the above representations. (There all apart of the same problem)
During science class,jimmy heated a substance and recorded the temperature of the substance over several minutes. He used the data to make the graph shown.
It’s -18 that’s the answer
