Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answers
Answer:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
✔ y = (4/3)x – 5
.
The y-intercept is
✔ –5
and the slope of the line is
✔ 4/3
.
Line
✔ B
is the graph of the line –3y = 15 – 4x.
Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]
Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]
y-intercept is -5.
Slope of the line is [tex]\frac{4}{3}[/tex].
What is linear equation?" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."
Formula used
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Slope intercept form y=mx +c
c = y-intercept
m = slope
According to the question,
Given linear equation,
[tex]-3y = 15-4x[/tex]
Convert the given linear equation in slope intercept form we get,
[tex]y = \frac{4}{3}x-5[/tex]
Compare it with the formula we get,
Slope 'm' = [tex]\frac{4}{3}[/tex]
y-intercept = -5
From the diagram we can have coordinates of line B
[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]
Substitute the value to get slope of line B,
Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]
[tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]
From the diagram y-intercept for line B is -5.
Equation of line B
[tex]y = \frac{4}{3}x-5[/tex]
Hence, slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].
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Related Questions
HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .
Answers
Answer:
Step-by-step explanation:
y=kx
7/4=1.75
6/4=1.5
The equation in the form y =kx will be as y = 7/4 x .
What are Proportional?Proportional the type of relationships between two variables where their ratios are equivalent.
In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.
A proportional relationship between the variables x and y is written as:;
y=k.x
For the given problem, y represents the cups of water needed for making x loaves of French bread.
We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;
7=k.4
Solving for k:
k = 7/4
The equation to model the problem;
y = 7/4 x
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A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?
Answers
Answer:
200 kilometers
Step-by-step explanation:
since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.
An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer: 13x-1
Step-by-step explanation:
Please help with this question
Answers
Answer:
2:5
Step-by-step explanation:
beacuse ratio is 8/20 which is equal to AP/PB= 2/5
Answer:
2.5
Step-by-step explanation:
AP is 8
PB is 20 thus
AP
PB is equal to8/20 which is 2.5
need help asap at this question so what's the area of the shaded shape
Answers
Answer:
Step-by-step explanation:
area of shaded region=area of whole region-area of white space
=9×13-5×[13-(3+2)]
=117-5×8
=117-40
=77 m²
please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
Answers
Step by step:
We know what the equation is, so we just have to multiply it by 3/4.
So, we get g(x)=(3/4)x. Plug in some random x values to get y values. I listed some convenient ones at the top.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
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What is the answer?
Answers
Hope this helps
Pls help me fast! Thank you!
Answers
Answer:
-2.5
Step-by-step explanation:
Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6
Answer:
Step-by-step explanation:
he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.
How is this number expressed in standard form?
Answers
what is the slope of a line that is perpendicular to the line y= -1\2x+ 5
Answers
Answer:
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?
Answers
Answer:
i think u forgot to add the picture bro?
Step-by-step explanation:
The picture is above.
Answers
need help ...............................
Answers
what factor makes the number sentence
7x4= 4x7
Answers
Answer:
Its a very complex solution but it x
=
0
,
3
√
14
2
Step-by-step explanation:
Seven times a number is forty-two less than the number. What is the number?
Answers
Answer:
7x=42=6
Step-by-step explanation:
7x=42
x=42/7
x=6
Answer:
- 7Step-by-step explanation:
x ← a number
7x ← seven times the number
x - 42 ← forty-two less than the number
Seven times a number is forty-two less than the number.
7x = x - 42
-x -x
6x = -42
÷6 ÷6
x = -7
-k/5 = 7/5 can someone help with this?
Answers
Answer:
k = -7
Step-by-step explanation:
Step 1: Write equation
-k/5 = 7/5
Step 2: Solve for k
Cross multiply: -5k = 35Divide both sides by -5: k = -7Step 3: Check
Plug in k to verify it's a solution.
-(-7)/5 = 7/5
7/5 = 7/5
5×+6×12-3= -3×6×-15
xf es para hoy
Answers
89 times what is 6285
Answers
i got 70.61797752808989
Answer:
71
Step-by-step explanation:
6285 ÷ 89 = 71
If m 4 = 48° and m28 = 3x + 9
Answers
Answer:
x = 109
Step-by-step explanation:
m4 =48
m =48/4
m = 12
now
m28 = 3x+9
12*28 = 3x + 9
336-9 = 3x
327/3 = x
109 = x
Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP
Answers
adjacent means next to so EGH is next to the angle HGJ
– 3х + 10 = 2
— 3х + Зу = 9
Answers
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
I NEED HELP RIGHT NOW!!
Jenine is twice as old as her brother Mark. If the sum of their ages is 24, How hole is Jenine?
Answers
Mark= 1M
2M+1M=24
3M=24 (Divide 24 by 3)
=8
Mark is 8, two times that is 16
***THE ANSWER IS 16***
"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?
Answers
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]
6 * 2 tenths = 1.2
7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]
6 * 7 hundredths = 0.42
The partial products are:
18 + 1.2 + 0.42
The sum = 19.62
Answer:
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
Step-by-step explanation:
Kimberly tracked the cartoons shown on the channel her kids watch for a week. The probability that the show had animals in it was 0.7 . The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answers
Answer:
p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9
Step-by-step explanation:
Given the following probabilifu distribution :
Probability that show had animals in it :p(A) = 0.7
Probability that show aired more than 10 times : p(more than 10) = 0.4
Probability that show had animals and aired more than 10 times: p(A n more than 10) = 0.2
Recall:
P(A or B) = p(A) + p(B) - p(A n B)
Hence,
p(A or more than 10) = p(A) + p(more than 10) - p(A n more than 10)
p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9
Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)
Answers
Answer:
9(2p-18) and 2(9p-18)
Step-by-step explanation:
The equivalent expression to the expression 18p - 36 are,
9(2p - 4p) and 2(9p - 18).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 18p - 36.
We know the distributive property states a(b + c) = ab + ac.
Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.
Therefore,
18p - 36 can be written as,
9(2p - 4p) and 2(9p - 18).
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If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)
Answers
Graph Y equals -5/6x -4
Answers
Step-by-step explanation:
y = -5/6x - 4
(0,-4) is the y intercept
the slope is -5/6, it descends 5 and goes 6 horizontally.
which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?
Answers
Answer:
3 x10^4
Step-by-step explanation:
Here are three different rules:
number of tiles = position x 1 + 1
number of tiles = position x 3 + 1
number of tiles = position x 5 + 1
How are these pattern rules the same?
How are these pattern rules different?
Answers
Answer:
they all add one
and...
the position is multiplied by different numbers
Need help ASAP! Tysm
Answers
Answer:
36
Step-by-step explanation:
Substitute a and b
3|-9-3|
3|6|
Multiply your answer and you get 36