24)The table represents some points on the graph of a linear function. Which function represents the same relationship?
A) g(x) = 2x
B) g(x) = x - 3
C) g(x) = x - 8
D) g(x) = 2x - 8
25)Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A) y = 3/4x + 1 and y = -4/3x + 9
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x = 9
D) y = 4/3x + 1 and y = -4/3x + 9
Answers
Answer:
A) D) g(x) = 2x - 8
2) B) y = 3/4x - 1 and y = -4/3x + 9
Step-by-step explanation:
1)
In the table, we have the points
(5, 2)
(7, 6)
(9, 10)
(10, 12)
This seems to be a linear relationship, so let's try that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1)
If we use the first two points, we get the slope:
a = (6 - 2)/(7 - 5) = 4/2 = 2
if we use the first and last point, we get the slope:
a = (12 - 2)/(10 - 5) = 10/5 = 2
Then we can conclude that this is a linear relationship with a slope equal to 2.
y = 2*x + b
To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).
this means that x = 5, and y = 2.
2 = 2*5 + b
2 = 10 + b
2 - 10 = b
-8 = b
Then the equation is:
y = 2*x - 8
the correct option is: D) g(x) = 2x - 8
2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.
The one with a positive slope (grows to the right) has a y-intercept = - 1.
The one with a negative slope (grows to the left) has a y-intercept = 9.
The two options that match this condition are:
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x + 9
Where the only difference is the slope of the black line.
so et's check which slope matches that line.
In the graph we can see that it passes through the points:
(0, 9) and the point (6, 1)
Then the slope is:
a = (1 - 9)/(6 - 0) = -8/6 = -4/3
Then the correct option is where the negative slope is -4/3, that one is
B) y = 3/4x - 1 and y = -4/3x + 9
Related Questions
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals.
Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how much it costs to manufacture 300 boxes of stuffed animals? SHOW WORK
please help this is due today :(
Answers
Answer:
alr go to a therapist please
Step-by-step explanation:
You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.
Answers
Answer: $4,000
Step-by-step explanation:
If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.
Hope this answer helps! :)
How many money did juwad earn in the first week
Answers
Answer:
no pic or nothing but here is a number 324
Step-by-step explanation:
1. (Water freezes at 0°C. Give two examples
of two temperatures at which ice could
exist.
Answers
Answer:
one temp that ice freezes or could exist would be 32°F and at -34°C
Step-by-step explanation:
if triangle DEF is congruent to triangle MNO, then angle E is congruent to angle ?
Answers
Abigail is buying new chairs to upgrade her restaurant. A set of 6 wooden chairs costs $444. A set of 8 metal chairs costs $720. How much more do the metal chairs cost per chair?
Answers
Answer:
$16.00
Step-by-step explanation:
6 wood chairs are 444 which is 74.00 a piece
8 metal chairs are 720 which is 90.00 a piece
90-74= 16
The metal chairs are $16.00 more
If Abigail is buying new chairs to upgrade her restaurant. A set of 6 wooden chairs costs $444. A set of 8 metal chairs costs $720. Then the metal chairs are $16.00 more
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Abigail is buying new chairs to upgrade her restaurant.
A set of 6 wooden chairs costs $444.
6W=444
W=444/6
W=74
A set of 8 metal chairs costs $720.
8M=720
M=720/8
M=90
Now we need to find how much more do the metal chairs cost per chair.
We need to find the difference
90-74
16
Hence the metal chairs are $16.00 more
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
isolate the variable on the following problem. show your work.
11=c/5
Answers
C = 55
55=c is the answer
PLSSS HELPPPPOPPPPPPPP
Answers
Answer:
x = 15 ; y = 53
Step-by-step explanation:
(7x + 18)° + (4x - 3)° = 180°
11x + 15 = 180
11x = 165
x = 15
(2y + 17)° + (4(15) - 3)° = 180°
2y + 17 + 57 = 180
2y = 106
y = 53
Hope this helps! Even you need it written out, shout out to the dude up there lol ᕕ( ᐛ )ᕗ
find the ratio of a:b if it is given that a+2b/11= b/3
please answer thanks!
Answers
Answer:
3(a+2b)=11b
3a+6b=11b
3a=5b
a/b=5/3
a:b=5:3
Answer:
a:b = 5:3
Step-by-step explanation:
I do RSM too, just type in 5:3! Good luck and have a wonderful day.
As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?
Answers
Answer:
The sample mean for survey 1 is $1.69.
Step-by-step explanation:
I just did this on edmentum plato.
Please graph the function on the given coordinate plane :) Will give brainliest to best answer TYSM <3
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each piece of the graph is a horizontal line extending the length of the domain for that piece. The ≤ symbol means the corresponding line end will have a filled dot. The < symbol means the corresponding line end will have an open dot.
Answer:
usstatizdnnetfilesd95/75690717474315a12d328c49bbc6aae3png
Step-by-step explanation:
Go check my graph out! Remember to add https!
Rewrite this number in standard notation
Answers
Answer:
the first one
Step-by-step explanation
you add 13 zeros, right?
What is the distance on the unit circle between successive fourth roots of StartFraction StartRoot 3 EndRoot Over 2 EndFraction minus one-half I ?
a) pi/3
b) pi/2
c) 2pi/3
d) pi
Answers
Answer:
It's not 2pi/3 so my next guess would be pi/3 but im not sure
Step-by-step explanation:
Answer:
The answer is B. pi/2
If jake had $25 to spend at the candy store , how much money did jake have left after his purchase
Answers
which function does not have a vertical asymptote?
a. y=5x/x*x^2
b. y=5x/1+2x^2
c. y=5x-1/x
d. y=x/1-x^2
Answers
Answer:
B. y=(5x)/(1 + 2x^2)
Step-by-step explanation:
A. y = (5x)/(x * x^2)
Vertical Asymptotes: x = 0
B. y = (5x)/(1 + 2x^2)
Vertical Asymptotes: None
C. y = (5x - 1)/x
Vertical Asymptotes: x = 0
D. y = x/(1 - x^2)
Vertical Asymptotes: x = -1, 1
Times 9/5 = -27 what is the answer
Answers
I hope I am right ...
What is Additive inverse of -5/-6
with solution
Answers
Answer:
it will be 6/5
............
Answer:
5/6
Step-by-step explanation:
-5/6 + 5/6 = 0
The additive inverse of a number makes the equations value 0.
Brainliest is much appreciated!
A triangle has sides with lengths of 11 mm 14 mm and 19 mm is it a right triangle?
Answers
Answer:
no
Step-by-step explanation:
because 2 of the sides would be the same length or almost the same number
Answer:
Not a right triangle
Step-by-step explanation:
I think the question is asking if this a right triangle?
In order to be a right triangle, the side lengths will need to follow Pythagorean theorem which says the two side legs of the triangle squared is equal to the hypothenuse squared or
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]; we can use the length given such as 11mm, 14mm and 19mm (assume is the hypothenuse)
[tex]11^{2}[/tex] + [tex]14^{2}[/tex] =? [tex]19^{2}[/tex]
121 + 196 =? 361
317 ≠ 361; therefore it is not a right triangle
simplify I know I spelled it wrong
Answers
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
Pls help asappp solve for x
Answers
Answer:
65
Step-by-step explanation:
If you need explanation please tell me.
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Answers
Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
Which of the following is the quotient of the rational expressions shown
below?
2x^3/x+5 divided by x-5/3x-1
Answers
Answer:
6x^4 - 2x^3/ x^2 - 25
Step-by-step explanation:
On A
Solve for x and then find the measure of angle, B
Answers
Answer:
x = 11, ∠ B = 80°
Step-by-step explanation:
∠ A and ∠ B are corresponding angles and are congruent, thus
8x - 8 = 5x + 25 ( subtract 5x from both sides )
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Thus
∠ B = 5x + 25 = 5(11) + 25 = 55 + 25 = 80°
8x-8=5x+25 which equals x=11 and B=80 because you do 5 times 11 plus 25
Answer:
X=11
B=80
PLEASE HELP PLEASE HELP HELP !!!!!!!!!!!!
Solve -11t = 132. Describe any properties that you used to solve the equation and explain how you can check your answer.
Answers
Answer:
-11(-12)=132
Step-by-step explanation:
First divide 132 by negative 11 and get -12.
Then you connect -12 into the equation by using paraenthisies so its not a mess.
Last check your answer. -11 times -12 is equal to positive 132.
The value of 't' for the given expression will be -12.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is -11t = 132. The value of t will be calculated as below;-
-11t = 132.
Divide the number -132 by -11 to get the value of t.
-11t = 132.
t = -132 / -11
t = -12
Therefore, the value of 't' for the given expression will be -12.
To know more about an expression follow
https://brainly.com/question/18715058
#SPJ2
What is -5.1 – 6.2=?
Answers
Answer:
It is -11.3
Step-by-step explanation: Hope this help :)
Answer:
11.3or 1.1
Step-by-step explanation:
.---- .-.-..-.-. ..--- -...- ..--.- ..--.- ..--.- please decipher and answer idk how
Answers
Answer:
112
Step-by-step explanation:
Answer:
1+2=___ is the decipher i think
Step-by-step explanation:
the morse code abc's-
A .- B -... C -.-. D -.. E . F ..-. G --. H .... I .. J .--- K -.- L .-.. M -- N -. O --- P .--. Q --.- R .-. S ... T - U ..- V ...- W .-- X -..- Y -.-- Z --..
evaluate the function at each specified
value of the independent variable and simplify
Answers
Answer:
Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:
1) q(x) = 1/(x^2 - 9)
a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9
b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:
[tex]\lim_{x \to \ 3} q(x) = infinity[/tex]
c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)
2) q(t) = (2*t^2 + 3)/t^2
a) q(2) = (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4
b) q(0) = (2*0^2 + 3)/0^2 = 3/0
Again, we can not divide by zero, this is simmilar to the case 1.b
c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2
Patrick deposited $105 dollars in his daughter's savings account. Each month after that he deposits $75 into the account. How much money would Patrick's daughter have in her account after 3 years?
please do in Arithmetic
rule: an=a1+(n-1)d
Answers
Answer:
2805 (including the 105)
Step-by-step explanation:
75 x 12 (months in a year) = 900
So then you multiply 900 x 3 (amount of years) = 2700
then you add the 105 + 2700 = 2805
Find the perimeter of each figure.
Answers
Answer:
28 for both of them
Step-by-step explanation:
1 is 28cm and 2 is 28cm
Step-by-step explanation:
since you know 2 of the sides you know the length of half of it since they are squares so if you att the 2 sides you know then multiply it by 2 you get the perimeter of that shape
where do I put this? -A=
Answers
Answer:
between -6 and -4 (-5), because -A is opposite from A