Aisha and Carolina each sketch a graph of the linear equation y=− 3 4x+2. Aisha uses the equation y= −3 4x+2 to sketch the graph, and Carolina uses the equation y= 3 −4x+2. a. Explain how this leads them to use different steps to construct their graphs. b. Will the two graphs look the same? Explain. a. Choose the correct answer below.
A linear function is used to represent the equation of a straight line.
Aisha's graph has a rise of -3 and a run of 4Carolina's graph has a rise of 3 and a run of -4Both graphs would look the sameGiven
[tex]y = -\frac 34x + 2[/tex] --- Aisha
[tex]y = \frac{3}{-4}x + 2[/tex] --- Carolina
(a) How they use different step
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
and
[tex]m = \frac{rise}{run}[/tex]
For Aisha's graph;
[tex]m = \frac{-3}{4}[/tex]
By comparison:
[tex]rise = -3[/tex]
[tex]run = 4[/tex]
This means that Aisha's graph has a rise of -3 and a run of 4
i.e. the other point used to calculate the slope is gotten by moving 3 units down and 4 units left of the y-intercept.
For Carolina's graph;
[tex]n = \frac{3}{-4}[/tex]
By comparison:
[tex]rise = 3[/tex]
[tex]run = -4[/tex]
This means that Carolina's graph has a rise of 3 and a run of -4
i.e. the other point used to calculate the slope is gotten by moving 3 units up and 4 units right of the y-intercept.
(b) Will the graph look the same?
Recall that:
[tex]y = mx + b[/tex]
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
For Aisha's graph
[tex]y = -\frac 34x + 2[/tex]
The slope is:
[tex]m = -\frac{3}{4}[/tex]
[tex]m = -0.75[/tex]
The y intercept is:
[tex]b = 2[/tex]
For Carolina's graph
[tex]y = \frac{3}{-4}x + 2[/tex]
The slope is:
[tex]m = \frac{3}{-4}[/tex]
[tex]m = -0.75[/tex]
The y intercept is:
[tex]b = 2[/tex]
Both equations have the same slope and the same y-intercept.
Hence, the graphs will look the same
See attachment for the graphs of their equations.
Read more about linear functions at:
https://brainly.com/question/20286983
is x=-2 linear or nonlinear
Answer:
non linear
Step-by-step explanation:
Answer: I'd say linear
Step-by-step explanation:Because it is a straight line vertically on the x-axis -2
Joseph had 380 heartbeats in 4 minutes. How many did he have in 15 minutes? (Write a proportion)
1435
Step-by-step explanation:
1435 hope this helps
Solve the equation for x:
6 - x = 18
Answer:
Step-by-step explanation:
-x=18-6
-x=12
x=-12
+Which number should you put in question mark ?
53 (3) 59
92 (4) 98
34 (2) 38
71 (?) 79
+Answer
A : 1
B : 5
C : 7
D : 9
E : no answer
Answer:
what is this I can't understand???
The skateboard rita would like to buy a car $6 less than three times the amount you had sick she has saved the skateboard cost $69 how much money does rita have saved
Answer:
$25
Step-by-step explanation:
Let the total amount saved by Rita be represented by x.
Since the amount is x, and her savings is in such away that 6 is less than three times of it.
i.e 3x-6........ 1
Then the above will be equal to 69
3x-6 = 69
3x = 69+6
3x = 75
x = 75/3
X = 25
Definitely, she has saved $25
Find the 52nd term for the following sequence. 16,6,-4,-14....
A -412
B -503
C -514
D -494
The price of a skateboard is $55.00 What will the new price be after a
17% decrease ?
Answer:$45.65$
Source:trust me bro
Answer:
55-9.35= $45.65
Step-by-step explanation:
Simplify as far as possible.
√
18
−
√
2
Answer:
3
Step-by-step explanation:
√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3
Maya has 120 caramel apples to sell. each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts
13 are covered with chocolate chips
3/10 are covered with coconut the rest are covered with sprinkles.
how many caramel apples are covered with sprinkles
please help mee
Answer:
20
Step-by-step explanation:
120 = (1/5 x 120) + (1/3 x 120) + (3/10 x 120) + sprinkles
120 = 24 + 40 + 36 + sprinkles
Sprinkles = 120 - 24 - 40 - 36 = 20
This means that 20 caramel apples are covered with sprinkles
people show me your holiday spirit
Answer:
im the grinch
Step-by-step explanation:
Answer:
we wish you a merry Christmas and a happy new year (◠‿◕)
PLEASE ANSWER ASAP!
Which table shows a proportional relationship between x and y?
A,x 3 6 8 10 y 12 15 18 20
B,x 1 2 7 8 y 0.5 1 3.5 4
C,x 3 7.5 15 20 y 1 2.5 4 6
D,x 2 3 4 5 y 7 9 11 13
Answer:
Table B shows a proportional relationship between x and y
Step-by-step explanation:
x y
1 0.5
2 1
7 3.5
8 4
It is clear from the table that y varies directly with x.
Using the formula
y ∝ x
y=kx
Where k is the constant of proportionality
In order to find 'k',
k=y/x
Putting the values of x and y from the given table to determine the constant of proportionality
For (1, 0.5)
k=0.5/1=0.5
For (2, 1)
k = 1/2 = 0.5
For (7, 3.5)
k = 3.5/7 = 0.5
For (8, 4)
k = 4/8 = 0.5
As the value of the constant of proportionality 'k' is the same.
Thus, table B shows a proportional relationship between x and y
I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?
Answer:
0,6
9,8
0,9
Step-by-step explanation:
I'm almost done I only have 11 more questions well maybe 3 but I'm counting the a,b,c,d type thing so........
Answer:
John is taller
Step-by-step explanation:
by 1/12 feet
1/3=4/12
1/4=3/12
What is the quotient?
(6x10^8) divided by (1.5x10^-4)
A.4x10^-32
B.4x10^-2
C.4x10^4
D.4x10^12
Answer:
D. 4x10^12
Step-by-step explanation:
Answer would be D
Which is the best summary of this part of the passage?
A. Catherine patented an invention that lets patients track their own heartbeats
B. Catherine patented an invention that lets patients talk to doctors on a cell phone
C. Catherine patented an invention that lets doctors operate on a patient's heart and lungs
D. Catherine patented an invention that lets doctors hear a patient's heart and lungs
Answer: d
hahehebbsjdhdbrbsndjjd
Step-by-step explanation:
Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?
Answer:
399.37
Step-by-step explanation:
multiply the amount each week by the amount of weeks to get the answer :)
Tina worked 5 hours and earned $100. What would happen to her wages earned if she worked for 10 hours? Explain your reasoning as it relates to direct variation.
Answer:
She would earn $200 for working 10 hours
Step-by-step explanation:
100/5= $20 per hour
10hr multiplied by $20= $200
Answer:
$200 (read below for reasoning)
Step-by-step explanation:
Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!
Help! Signs of expression What is the sign of a . b?
6
4
2
0
-2
-6
8
Choose 1 answer:
Positive
Negative
Zero
Answer:
6-positive
4-positive
2-positive
0-zero
-2-negative
-6-negative
8-positive
Step-by-step explanation:
Adrian currently has $400 in his savings account. He saves $20 per month. He saves the same amount each month and does not take any money
out of the account. In how many months will Adrian have $700 in his savings account?
O 35 months
o 15 months
o 55 months
o 20 months
Answer:
15
Step-by-step explanation:
if 5 20s is 100 then do it times three if that makes sence lol
PLZ HELP ONLY DO NUMBER 6
What is 13 in A decimal?
Answer:
13.00 you can keep going if you want to With the zeros it won’t stop
Step-by-step explanation:
Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.
Answer:
y=0.35x+140Step-by-step explanation:
Step one:
given data
The rental charge is $140 per day
additional charges per mile driven = $0.35 per mile
Step two:
Required
The expression for the total charges
let the number of miles be x, and the total charges be y
the expression for the total charges is
y=0.35x+140
Tom has completed 26 deliveries so far this week. He needs to make 65 deliveries for the week.What percentage of his deliveries has Tom completed
Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.
Answer:
12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes
Step-by-step explanation:
A recipe that makes 4 dozen cookies calls for 2 eggs. Using this same recipe, how many dozens of cookies can be made with 7 eggs?
Answer:
14 dozen cookies can be made with 7 eggs
Step-by-step explanation:
I first saw that 2 goes into 7 three times (2*3= 6 eggs).
then I multiplied 4 dozen also by 3 to get 144 cookies (12 dozen).
since there was still one egg left I divided the 4 by a half and got 2 dozen.
2 dozen + 12 dozen = 14 dozen (168 cookies)
I'm bad at explaining sorry, and if I got the answer wrong I'm sorry as well
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2
Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?
Answer:
It was 14 miles from the hotel to the airport.
Step-by-step explanation:
From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:
t=7+2.50x, where:
t is the taxi fair
x is the number of miles
Now, you can replace t with 42 and solve for x to find the miles:
42=7+2.50x
42-7=2.50x
35=2.50x
x=35/2.50
x=14
According to this, the answer is that it was 14 miles from the hotel to the airport.
Which two triangles are congruent ? Complete the congruence statement . Please don’t be wrong I’ll
Give Brian list
Answer:
ΔHFG≅ΔSUT
Step-by-step explanation:
You just have to match up the sides and the angle.It's easier to color code them.
For example:
Segment SU would be congruent with HF. (both would be blue, just example color)
Angle U is congruent to angle F (red)
UT congruent to FG (green)