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.
Answers
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
Related Questions
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
Answers
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
Please help easy ten points.
Answers
Answer:
Yes
Step-by-step explanation:
i believe they are all yes.
Tracey spent 1/2 hour playing on her iPad. This used up 1/9 of her battery. How long would she have played on her iPad to use the entire battery?
Answers
Answer:
8 hours and 10 minutes im pretty sure
Step-by-step explanation:
can i have heart and brainliest
Answer:
4.5 hours
Step-by-step explanation:
Multiply 1/2 hours by 9 for 4.5 hours total.
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answers
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
What is 360 divided by 12 explain your answer
Answers
Answer:
360 divided by 12 is 30 because 12 times 30 is 360
Step-by-step explanation:
Answer:
the answer most likely might be =30
Step-by-step explanation:
360÷12=30
Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?
Answers
Answer:65
Step-by-step explanation:
13x5=65
Solve: 1/2x - 7 = 1/3 (x-12)
Answers
x = 18
Have a merry Christmas!
Answer:
x=18
Step-by-step explanation:
1/2x-7=1/3(x-12)
First, distribute.
1/2x-7=1/3x-4
Subtract 1/3x from both sides
1/6x-7=-4
Add 7 to both sides
1/6x=3
Multiply by 6 on both sides.
x=18
Hope this helps!
#Team Rainbows
a/4=1 1/2
please answer I need it fast
Answers
Answer:
a = 6
Step-by-step explanation:
[tex]\frac{a}{4} =\frac{3}{2} \\a=4\times1.5\\a=6[/tex]Olivia picked 1,005 blueberries from the Orchard’s bushes. She divided them evenly into 8 baskets. How many are in each basket? How many are left over?
Answers
please help me with this question
Answers
Answer:
corresponding
Step-by-step explanation:
2 is not in the interior
The only numbers in the interior is 4, 11, 6, and 13
So crossing those two options we are left with corresponding
please help i need this done by today
Answers
Answer:
B
Step-by-step explanation:
Given the following function, determine f(6).
Type your answer in the space provided
f(x)
2X-7
Please help I’m dumb
Answers
I NEED HELP WITH 2 and 3 HELPPPPPPP
Answers
3) Ligaments
Hope this helps
find the slope from the graph. (3,-1) (0,-3)
Answers
Prada buys a designer phone case for $300. The phone case is a collector's item and
triples in price every 8 years. Which function will model the value of Prada's phone case
after t years?
Answers
Answer:
f(t) = 300*(3)^(t/8)Step-by-step explanation:
Initial price = $300Rate of increase = 3 times every 8 yearsTime = t yearsRequired function would be:
f(t) = 300*(3)^(t/8)Find the interior angles of the triangle.
Which kind of angle pair is angle A and the angle
marked 70°?
alternate exterior angles
of each angle?
alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
Answers
Answer:
125 is answer
Step-by-step explanation:
angle sum property
180-70
110/2
55
add the 70+55
125
Answer:
125
Step-by-step explanation:
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
Answers
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=4.2 in. and CD=9.6 in..
What is the length of AC¯¯¯¯¯?
Answers
Answer:
AC = 6.35 in.
Step-by-step explanation:
BC times CD
4.2(9.6) = 40.32
The square root of 40.32 = 6.3498031465550174172038778087342
Round your answer to the nearest hundredth
AC = 6.35 in.
Which equation is represented by the graph below?
Answers
Answer:
There is no graph, add a img
Step-by-step explanation:
An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.
Answers
Answer:x=65 y=40
Step-by-step explanation:
1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)
2) x should equal 65
3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.
Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1
Answers
Write an equation, please help
Answers
Answer:
y = -6/5x + 2
Answer:
5\6x-2
Step-by-step explanation:
Y=(10-6x)\5
Y= 2-6\5x
Slope of line 1 = -6\5
Slope of line 2*(slope of line 1 )= -1
Slope of line 2 *-6\5=-1
Slopes of line 2 = 5\6
(X-x0)m = y-y0
(X-6)*5\6=y-3
5\6x -5 = y-3
Y= 5\6x -2
Write the following in point-slope form.
Answers
Answer:
[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]
Step-by-step explanation:
An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.
For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.
We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.
[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].
Hope this helped!
What is the y-intercept of 2y=-3x+18
Answers
Answer:
18
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
2y = -3x + 18
The -3x crosses
2y = 18
———— Y=9
2 2
I hope that helps.
marissa dance studio charge a monthly fee
Answers
Answer:
Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20
Answer:
This question is incomplete so I can not answer this
Step-by-step explanation:
Because the question is incomplete
what is the answer to the question?
Answers
Answer:
17
Step-by-step explanation:
We have two congruent triangles here. Thus, b must be 17.
Answer:
17
Step-by-step explanation:
sides r congruent
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answers
Answer:
5. 23
6. 26
7. 20
8. 45
9. 15
10. 120
11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60
12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.
help answer this im struggling omg
Answers
That is the formula
Answer:
im not quite sure but what i got was 19.9
I need help please help yo
Answers
Answer:
28/35
Step-by-step explanation:
Soh-Cah-Toa
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.
a.) function g decreasing over the interval
b.) function g is a positive over the interval
c.) function g has a y intercept of(0,4)
d.) function g is 4 units above function f
e.) the domain of function g is x>0
f ) the range of function g is (3,infinity)
Answers
Answer:
c. function g has A y intercept of (0,4)