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
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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?
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Step-by-step explanation:
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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.
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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.
HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.
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b.) function g is a positive over the interval
c.) function g has a y intercept of(0,4)
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c. function g has A y intercept of (0,4)
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Step-by-step explanation:
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Find the interior angles of the triangle.
Which kind of angle pair is angle A and the angle
marked 70°?
alternate exterior angles
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alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
18
Step-by-step explanation:
y = mx + b
m = slope
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2y = -3x + 18
The -3x crosses
2y = 18
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2 2
I hope that helps.
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
Which equation is represented by the graph below?
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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marissa dance studio charge a monthly fee
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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 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
Given the following function, determine f(6).
Type your answer in the space provided
f(x)
2X-7
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a/4=1 1/2
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Answer:
a = 6
Step-by-step explanation:
[tex]\frac{a}{4} =\frac{3}{2} \\a=4\times1.5\\a=6[/tex]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?
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Answer:65
Step-by-step explanation:
13x5=65
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Answer:
5. 23
6. 26
7. 20
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9. 15
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3) Ligaments
Hope this helps
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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
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
find the slope from the graph. (3,-1) (0,-3)
Answers
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 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!
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
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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
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Answer:
B
Step-by-step explanation:
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
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Answers
That is the formula
Answer:
im not quite sure but what i got was 19.9
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)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
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.
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