Answers
Answer:
y = x + 3
Step-by-step explanation:
To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.
As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .
Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5
( 4 ) = 3 ( 1 ) + 1
4 = 4
However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.
( 5 ) = 3 ( 2 ) + 1
5 = 6
Therefore, equation is false / incorrect.
Equation No. 2 : y = x + 1 where x = 1 , y = 4
( 4 ) = ( 1 ) + 1
4 = 2
Therefore, equation is false / incorrect.
Equation No. 3 : y = x + 3 where x = 1 , y = 4
( 4 ) = ( 1 ) + 3
4 = 4
Therefore, equation is true / correct.
Equation No. 4 : y = x - 3 where x = 1 , y = 4
( 4 ) = ( 1 ) - 3
4 = - 2
Therefore, equation is false / incorrect.
Related Questions
A fossilized fish is found that has jaws but no true bones. Where does this fossil belong on the cladogram?
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Write the equation, in general form, of a line with a slope of 1 and a y-intercept of -1.
a. x - y = 1
b. -x + y = -1
c. -x + y + 1 = 0
d. x - y - 1 = 0
pls help asap !!!
Answers
Answer:
Plug in numbers.
Step-by-step explanation:
using the equation of a line, y=mx+b, m is slope and b is the y-intercept. y and x are the coordinates. So graph the line first. It has a slope of one and the y-intercept is -1. Then plug in numbers for the equation. Make sure they are reasonable.
PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out
his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).
Answers
Answer:
1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
2) [tex]y=4x+5[/tex]
3) [tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
Question 1:
All you have to do is solve for y to get the slope intercept form.
[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]
So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
Question 2:
Now for this one you have to find the line perpendicular to the previous equation.
Finding the slope:
So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]y=mx+b\\m=4\\b=5[/tex]
Now we just fill it in the formula...
[tex]y=4x+5[/tex]
Question 3:
For a parallel equation the slope will be the same in order for them to be parallel to each other.
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]m=-\frac{1}{4}\\b=4[/tex]
Now we just fill it in the formula...
[tex]y=-\frac{1}{4}x+4[/tex]
Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?
Answers
What is 1+1 I really need this answer
Answers
Answer:
Its 11
Step-by-step explanation:
Jk its 2. Bro learn addition. XD
Answer:
the answer would be...
e^iπ = -1
2^57,885,161 - 1 is the largest known Mersenne prime number
2^43,112,609 - 1 is the second largest known Mersenne prime number
the greatest common divisor of any two integers which are coprime is 1 so
gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1
tan(π/4) = 1
So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)
= (-1/1)^2 +1
= 1 + 1
^brainliest plz it took me awhile to type this XD^
Denise is 7 years Younger than our Misty is twice as old as Alma all together we have an age of 37 how old is Denise
Answers
Answer: 14
Step-by-step explanation: divide
Need help ASAP PLEASEEEEE
Answers
Answer:( b )i think
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
No Solution
Step-by-step explanation:
As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.
What is the equation of a line that is parralel to y= -5x+6 and passes through the point (-4,-1)
Answers
Answer:
y = -5x-21
Step-by-step explanation:
Slope of parallel lines is the same.
To find b:
y = mx + b
Substitute the slope and the point given
-1 = -5(-4) + b
Solve for b
-1 = 20 + b
b = -21
Shampoo can be bought in 5 gallon pails. The groomer uses 16 ounce bottles to to hold the shampoo. How many bottles can he get out of the 5 gallon pail?
Answers
Answer:
The groomer can get 40 bottles out of the 5 gallon pail.
Step-by-step explanation:
A gallon contains 128oz (ounces)
128/16=8
8 bottles/gallon
times both sides by 5
40 bottles/5 gallons
Therefore the groomer can get 40 bottles out of the 5 gallon pail
For which rational numbers of a is the expression a-3/3: equal to 5/2 a is a positive number
For which rational numbers of a is the expression a-3/3: greater than 5/2 a is a positive number
For which rational numbers of a is the expression a-3/3: less than 5/2 a is a positive number
I need help cuz this i rsm and my class is in an hour *AND GIVE ALL ANSWERS!!!!!!!*
Answers
Answer:
a=?
a=?
a=?
Step-by-step explanation:
a triangle with angle measures of 45 45 and 90 is
Answers
Answer:
A right triangle
Step-by-step explanation:
The answer is a right triangle because it has a right angle. A right angle is 90 degrees
A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line has a regression equation of y = 25.36 x minus 0.23.
Assuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310?
11
12
13
14
Answers
Answer:
12
Step-by-step explanation:
got 100% right on edge 2020, hope this helped! <3
Answer:
its 12
Step-by-step explanation:
bc it is
Help me pls math Homework
Answers
9514 1404 393
Answer:
See below. The "table below" refers to the second attachment.
Step-by-step explanation:
[tex]\boxed {\begin {array}{c|c|c}\underline {Binary} & \underline{Hex} & \underline{Decimal} \\ 0000 & 0 & 0 \\ 0001 & 1 & 2 \\ 0010 & 2 & 2 \\ 0011 & 3 & 3 \\ 0100 & 4 & 4 \\ 0101 & 5 & 5 \\ 0110 & 6 & 6 \\ 0111 & 7 & 7 \\ 1000 & 8 & 8 \\ 1001 & 9 & 9 \\ 1010 & A & 10 \\ 1011 & B & 11 \\ 1100 & C & 13 \\ 1101 & D & 14 \\ 1110 & E & 15 \\ 1111 & F & 16\end {array}}[/tex]
A study was conducted to investigate how the amount of time spent study can help predict the test scores on the content. The studying showed a positive strong linear association between these two variables. Here are the statistics:
Mean of study time: 2.4 hours
Standard Deviation of study time: 0.79 hours
Mean of test scores: 77 points
Standard Deviation of test scores: 7.7 points
a. Calculate the slope of the LSRL.
b. Calculate the y-intercept of the LSRL.
c. Write the equation of the LSRL in context.
Answers
Answer: go with your gutt btw C is always best option
Step-by-step explanation:
hope you got it correct
2) Find the perimeter of the following
polygon.
7 in.
10 in.
12 in.
15 in.
Answers
What is the decimal multiplier to increase by 58%?
Answers
Help me please itsmath
Answers
Answer:
I'ts B, (5,2)
Step-by-step explanation:
It's B :)
Answer:
A
Step-by-step explanation:
the equation is the second one
Find the rate of change for:
bicycling 3 mi in 15 min and 7 mi in 55 min
Answers
The rate of change is 10.
What is rate of change?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.
For the given situation,
Bicycling involves 3 miles in 15 min and 7 miles in 55 min.
Here consider miles in x axis and minutes in y axis.
So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]
The rate of change is
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
⇒ [tex]\frac{55-15}{7-3}[/tex]
⇒ [tex]\frac{40}{4}[/tex]
⇒ [tex]10[/tex]
Hence we can conclude that the rate of change is 10.
Learn more about rate of change here
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I need help with solving this problem please!!!
Answers
8 is 157 degree
Answer:
Angle 3 = 23 degrees Angle 8 = 157 degrees
Step-by-step explanation:
Since Angle 2 and Angle 3 are vertical angles, they have the same value.
As you see for Angle 8, Angle 8 is vertical angles with Angle 5.
Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.
Angle 1 and Angle 2 added together will have a sum of 180.
So substitute Angle 5 for Angle 1.
Angle 5 + 23 =180
Angle 5 = 157 degrees
And we know Angle 5 = Angle 8
So Angle 8 = 157 degrees.
PLS ITS DUE IN 20 MINUTES
Estela and Luiza are going to share 35 dolls, either in the ratio of their ages, or in the ratio of dolls they have
Estela is 9 years old and has 24 dolls already.
Luiza is 12 years old and has 36 dolls already.
Which ratio would be better for Estela?
Answers
The ratio of ages 9:12 or 3:4
Estela would get 3/7
Ratio of dolls 24:36 or 2:3
Estela would get 2/5
WILL GIVE BRAINLIEST - 6TH GRADE MATHEMATICS
Angie is showing her work in simplifying −7.9 + 8.2 − 3.4 + 2.1. Identify any errors in her work or in her reasoning.
Step Work Reasoning
−7.9 + 8.2 − 3.4 + 2.1 Original problem
1 −7.9 + 8.2 + (−3.4) + 2.1 Additive inverse
2 −7.9 + (−3.4) + 8.2 + 2.1 Commutative property
3 [−7.9 + (−3.4)] + (8.2 + 2.1) Associative property
4 −11.3 + 10.3 Simplify
5 −1 Simplify
She did not make any errors.
Step 1: She wrote −3.4 incorrectly as + (−3.4).
Step 2: She identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: She identified changing the grouping of the numbers as the associative property, which is incorrect.
Answers
Answer:
Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)
Answer:
step 1
Step-by-step explanation:
let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?
Answers
Answer
a)no
Step-by-step explanation:
a)12-5(0)
=12 not 0
b)12-5(-1)
=17
c)12-5x=6
-5x=6-12
x=1.2
hope it helps:)
Evaluating the function, it is found that:
a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.
b) [tex]f(-1) = 17[/tex]
c) [tex]a = \frac{6}{5}[/tex]
The function given is:
[tex]f(x) = 12 - 5x[/tex]
Item a:
f(0) is given by:
[tex]f(0) = 12 - 5(0) = 12[/tex]
So it is not true, since [tex]f(0) = 12[/tex].
Item b:
[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]
Item c:
This is the value of x when f(x) = 6, thus:
[tex]12 - 5x = 6[/tex]
[tex]5x = 6[/tex]
[tex]x = \frac{6}{5}[/tex]
Thus:
[tex]a = \frac{6}{5}[/tex]
A similar problem is given at https://brainly.com/question/24231879
Well um there you go..
Answers
Answer
73
Step-by-step explanation:
Kathy Is 12 years old and Ben is 16 years old. How many years ago was Ben three times Older than Kathy?
Answers
Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.
Present age :
Kathy, k = 12 Ben, b = 16Serting up the equation thus :
Let the number of years = x
16 - x = 3(12 - x)
16 - x = 36 - 3x
Collect like terms
-x + 3x = 36 - 16
2x = 20
x = 10
Hence, Ben was 3 tines older than Kathy 10 years ago.
Learn more : https://brainly.com/question/25625086
plz help me show steps plz
Answers
Answer:
Step-by-step explanation:
4x - 9y = -9 x x - 3y = (5 + 9) - 6 - 9) + 9 - 5
On a coordinate plane, a line goes through (0, 1) and (5, 0). What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?
Answers
Answer:
First find slope of first line given the two points
Slope is change in y over change in x
0-1 over 5-0
Slope = -1/5
Slope of the line perpendicular to this line has a slope that is the negative reciprocal.
Slope of the new line is 5
You are given the y intercept with the first point so put these things together in the slope intercept formula
Y=5x +1
Step-by-step explanation:
A scale on a map shows that 1 inch: 8 miles. On the map, Kylie’s house is 2.5 inches from her grandma’s house. What is the actual distance between the two houses?
( Hint: Not D)
A. 10
B. 15
C. 20
D. 25
Answers
Answer:
C. 20
Step-by-step explanation:
If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20
Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1
Answers
They want to know the change in y. They have given the lines, soo count how many they went up or down.
Whatever you get, that the answer.
The y value of each point moved ___ units ____ and ____ as I moved the slider.
Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?
Answers
Answer:
The approximate % increase was around 33%
Step-by-step explanation:
Divide 24 by 18 and you convert the decimal into a percent which is just multiplying it by 100
There was an increase of 33.33 percent in Miss Williamson‘s homeroom
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items.
Since Percentage increase in the number of students can be calculated as;
=((Final number-Initial number)/Initial Number)×100
where the Initial number of students=18 students
Final number of students=24 students
Now substituting;
((24-18)/18)×100
=(6/18)×100
=33.33% increase
Hence, there was an increase of 33.33%.
Learn more about percentages;
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