Answers
Answer:
We conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
We have to find a table in which y is a linear function of x.
Checking the table C
x -1 0 1 2 3
y 6 8 10 12 14
Here:
There is a constant change in x.
i.e. 0 - (-1) = 1; 1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1
Also there is a constant change in y.
i.e. 8 - 6 = 2; 10 - 8 = 2; 12 - 10 = 2; 14 - 12 = 2
Thus, we conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Related Questions
Carla lifted 40 pounds at practice. How many ounce did she lift?
Answers
Answer:
the ounces to that is 640 ounces
Step-by-step explanation:
When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)
Answers
Answer:
(a) [tex]p = 0.43d[/tex]
(b) [tex]p = 21.5[/tex]
(c) [tex]d = 151.163[/tex]
Step-by-step explanation:
Given
Variation: Direct
Represent ear pressure with p and depth with d.
So, we have:
[tex]p\ \alpha\ d[/tex]
[tex]d =10[/tex] when [tex]p =4.3[/tex]
Solving (a): Write a variation
We have:
[tex]p\ \alpha\ d[/tex]
Write as an equation
[tex]p = kd[/tex]
Where: k is the constant of variation
[tex]d =10[/tex] when [tex]p =4.3[/tex]
So, we have:
[tex]4.3 = k * 10[/tex]
Make k the subject
[tex]k = \frac{4.3}{10}[/tex]
[tex]k = 0.43[/tex]
Substitute 0.43 for k in [tex]p = kd[/tex]
[tex]p = 0.43d[/tex]
Solving (b): Pressure at 50 feet
Substitute 50 for d in [tex]p = 0.43d[/tex]
[tex]p = 0.43 * 50[/tex]
[tex]p = 21.5[/tex]
The pressure is 21.5 pounds per square
Solving (c): The safe depth
The safe depth stops at a pressure of 65psi.
Substitute 65 for p in [tex]p = 0.43d[/tex]
[tex]65 = 0.43 * d[/tex]
Make d the subject
[tex]d = \frac{65}{0.43}[/tex]
[tex]d = 151.162790698[/tex]
[tex]d = 151.163[/tex] -- approximated
The safe distance for an amateur is 151.163ft
Simplify the imaginary number using the properties of exponents.
¡102
Answers
Answer: Explanation: 102=2⋅51. i102=(i2)51=(−1)51=−1.
Step-by-step explanation:
If -10x+3y = 9 and -4x+7y =1 are true equations,what would be the value of -6x-4y
Answers
Answer:
8
Step-by-step explanation:
Notice: we do not have to solve for x, and y. All we really have to do is to subtract the two equations.
(-10x + 3y) - (-4x + 7y) = 9 - 1.
Taking off the parentheses, we get:
-10x + 3y + 4x - 7y = 8.
Simplifying, we get:
-6x - 4y = 8.
So, the answer is 8.
what is 5 divided by 3/10
Answers
Answer:
16.6 :)
Step-by-step explanation:
PLZ FOLLOW ME
There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
How many students are enrolled in PE?
Answers
Answer:
525
Step-by-step explanation:
multiply 1250 by the decimal form of the percentage (42% turns to .42)
A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?
Answers
Answer:
107%=16.06
Step-by-step explanation:
im pretty sure that's it, if its not please correct me.
The water park is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 8 vans and 3 buses with 188 students. High School B rented and filled 10 vans
and 7 buses with 378 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Answers
to be honest I have no idea
Answer:
7 students per Van
44 Students per Bus
Step-by-step explanation:
8v+3b=188
10v+7b=378
Solve these simultaneously
PLEASE HURRYY!!
2. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answers
Answer:
x = 70
c = 72
Step-by-step explanation:
Write 287 in expanded form ?
Answers
Answer:
200 + 80 + 7
you break it down fully to see how you got it all together
the quotient of 12 and the product of 4 and 5 as a numerical expression.
Answers
Answer:
Step-by-step explanation:
The "product of 4 and 5" is (4)(5). 12
The quotient of 12 and the product of 4 and 5 is ------------
(4)(5)
The numerical expression for the given phrase is 12/(4×5).
What is a quotient?In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The given phrase is the quotient of 12 and the product of 4 and 5.
Now, 12/(4×5)
= 12/20
= 3/5
= 0.6
Therefore, the numerical expression is 12/(4×5).
Learn more about the quotient here:
https://brainly.com/question/16134410.
#SPJ2
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
Answers
what is the diameter
Answers
Answer:
9.61m
Step-by-step explanation:
to find the diameter you have to multiply the radius by 2
since radius is half of a circle
if your smart enough to answer this then ill give brainliest
Answers
Answer:
No they are not proportional
Step-by-step explanation:
They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk
Answer:
no its not proportainal
Step-by-step explanation:
An iPad that was originally on sale for $1075 is now on sale for $ 623.50. What is the percent markdown( percent decrease)?
Answers
Explanation : you would have to set up a portion table were the sale amount (623.50) would go and the original/total price would go (1075$) and since you are trying to find the % you would put x over 100 , and then cross multiply while it’s set up so 623.50 times 100 =62,350 and you would take the answer and divide it by 1075x which would get you to 58 and that would equal x .
Put these fractions in order from greatest to least.
8/9 8/11 8/10 8/12
Answers
Answer:
8/9, 8/10, 8/11, 8/12
Step-by-step explanation:
If you convert the fractions to percents, 8/9 would be 88%, 8/10 would be 80%, 8/11 would be 72%, and 8/12 would be 66%. Since its greatest to least, you would use the original fractions, but these percents would help you get the correct answer.
The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :
Answers
Derek and Jeannine buy a car for a total price, including tax, of $19,795.
The price of the car without tax was $18,500. What is the tax rate? (PLEASE HELP ME)
Answers
Answer:
1,295 I believe
Step-by-step explanation:
19,758 - 18,500 = 1,295.
What is the range of f(x) = (3/4)^x -4?
Answers
Answer:
[tex]f\left(x\right)>-4[/tex]
Step-by-step explanation:
[tex]f\left(x\right)>k[/tex]
[tex]k=-4[/tex]
[tex]f\left(x\right)>-4[/tex]
not a question but thamks for helping
Answers
Answer::))
Step-by-step explanation::))
Answer:
Your welcome
Step-by-step explanation:
indeed it is humourous
A baseball team plays in a stadium that holds 74000 spectators. With the ticket price at $9 the average attendance has been 30000. When the price dropped to $8, the average attendance rose to 37000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue
Answers
Answer:
solution
$9=30000
$8=37000
$?=74000
=$3
hurry I am timed Which part of the cell holds genetic information in the molecule DNA?
ribosome
chromosomes
Golgi body
vacuole
Answers
Answer:
Chromosomes
Have a great day!
Answer:
chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .
0.7+x=12 i reallly need help soo badd plss
Answers
Answer:
x=11.3
Step-by-step explanation:
happy to help ya :)
Answer:
x=11.3
Step-by-step explanation:
We do -0.7 on both sides and 12-0.7 is 11.3. So, x=11.3
A baker has 6.8 kilograms of flour. She buys another 1.5 kilograms of flour. She uses 1.2 kilograms to make cupcakes and 0.8 kilograms to make cookies.
How much flour does the baker have left?
3.3 kg
4.8 kg
6.3 kg
8.7 kg
Answers
Answer: 6.3
Step-by-step explanation:
6.8 +1.5 -1.2 -0.8= 6.3
What is the product?
0.4 x 0.6
0.024
0.24
2.4
24.0
Answers
Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later, Karen withdrew the full amount to put towards the down payment on a new house. How much did Karen withdraw from the account
Answers
Answer:
years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.
i neeeeeeedddd helpppppppppp
Answers
Answer:
C.
Step-by-step explanation:
I honestly forget how to do this.
All credit goes to victoradisla08
Which ordered pair solves the system of equations?
Answers
Answer:
(1;1)
Step-by-step explanation:
1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:
5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;
2. if x=1, then y=2x-1=2-1= 1.
3. the required pair is (1;1)
i need help with this please
Answers
Answer:
a=40 degree( vertically opposite angle)
a+b+90=180( area of triangle)
or, 40+ b+ 90=180
or,b=180-130
b=50 degree
c+65=180 (st.line)
or, c= 180-65
c= 115 degree
The product of (a − b)(a − b) is a perfect square trinomial.
A. Sometimes
B. Always
C. Never
Answers
Answer:
Always.
Step-by-step explanation:
Answer:
Always
Step-by-step explanation:
The first term of the product is always the first term of the original binomial squared.
The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.
The last term of the product is always positive and equal to the last term of the original binomial squared.
EX: Find the product of (3x − 4)2.
Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.
(3x − 4)2
substitute a for 3 times x and substitute b for 4 a b
Now, substitute the values for a and b into a2 − 2ab + b2.
a2 − 2ab + b2
Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.
(3x)2 − 2(3x)(4) + (4)2
32x2 − 24x + 16
9x2 − 24x + 16
Done!
