how to solve slope intercept form with 4y=x+3
Answers
m = 1/4 = slope
b = 3/4 = y intercept
===================================================
Explanation:
The goal is to solve for y.
Divide both sides by 4 and simplify like so
4y = x+3
4y/4 = (x+3)/4
y = (x+3)/4
y = x/4 + 3/4
y = (1/4)x + 3/4
This equation is in slope intercept form y = mx+b
m = 1/4 is the slope
b = 3/4 is the y intercept
The graph is a straight line that goes through (1,1) and (5,2)
Related Questions
Help plzzzzz 30 points
Answers
Answer:
it is decreasing
Step-by-step explanation:
hope it helps study hard!!!!
Answer questions 8,9 and 10
If the resistance voltage is given by 200 \( \cos (t) \), then Vout after 5 minutes is: (0/2 Points) \( 173.2 \) volt 200 volt \( 6.98 \) volt 343.6 Volt None of them
Answers
the correct answer is: Vout after 5 minutes is approximately -173.2 volts.
To find the value of Vout after 5 minutes when the resistance voltage is given by 200 \( \cos (t) \), we need to evaluate the expression 200 \( \cos (t) \) at t = 5 minutes.
Given that 1 minute is equal to 60 seconds, 5 minutes is equal to \( 5 \times 60 = 300 \) seconds.
So, we need to calculate 200 \( \cos (300) \).
Evaluating this expression using a calculator, we find:
200 \( \cos (300) \approx -173.2 \) volts.
Therefore, the correct answer is:
Vout after 5 minutes is approximately -173.2 volts.
Please note that the negative sign indicates a phase shift in the cosine function, which is common in AC circuits.
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What’s the center of the hyperbola
What’s the left vertex?
What’s the other vertex?
Answers
The vertex is the point on the curves with minimum distance from focus and the center is the midpoint between the vertices.
A set of points on a plane such that they have a positive and constant absolute difference from its 2 fixed points is called a hyperbola.
The two separate curves of a hyperbola are called its branches. The point on each branch with a minimum distance from the focus is called the vertices of the hyperbola.
It is the midpoint between the vertice that is called the center.
Here, we can see that the center is marked by (h,k) while the left vertex is (h - a , k)and (h + a , k)
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Mrs. House wants to buy a wireless speaker for her husband. She has narrowed down her choice to two stores: • Kohls is selling the speaker for $60.00. Mrs. House has a Friends and Family discount coupon for 25% off. • Target purchased the speaker for $38.00 and marked it up by 15% to sell in the store. How much would Mrs. House pay for this speaker at Target? Show your work
Answers
Explanation: if target marked up the speaker by 15%, then you multiply the original price by 1.15 to get the answer:
$38 x 1.15 = $43.70
Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5
Answers
Answer:
36/5 or 7 1/5 or 7.2
(These are all different forms of the same answer)
Method:
2 1/4 = 9/4
3 1/5 = 16/5
9/4 × 16/5 = 144/20
144/20 = 36/5
Solve for b in the literal equation a+ b+ c= 180
Answers
Answer:
b = 180 - a - c
Step-by-step explanation:
To solve for b given the literal equation, a + b + c = 180:
Subtract a and c from both sides:
a + b + c = 180
a - a + b + c - c = 180 - a - c
b = 180 - a - c
Which expression is equivalent to 54 · (5-2)3 ?
Answers
54 x (3)3
54 x 9
486
Rachel has two lengths of wire, one of 32m and another of 48m. They need to be cut into equal lengths. What is the maximum length of each piece of wire
Answers
Answer:
16m
just find highest common factor of 32 and 48
Mark works at Target. He works 4 hours a day for a total of 120 days of the year. His hourly rate of pay is $12.50 . How much can he expect to make annually prior to deductions?
Answers
Answer:
$6000
Step-by-step explanation:
annual income = total hours worked x hourly rate
total hours worked = total hours worked per day x total days worked in a year
120 x 4 = 480
480 x 12.50 = $6000
What do you meant by , Mean , Median??
Answers
Answer:
Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS
Step-by-step explanation:
hope it helps you
Answer:
Assuming you have a set of numbers:
The mean can be found by combining all the numbers in the data set, and dividing by the amount of numbers that are in the set.
The median can be found by, after rearranging the numbers in the data set to least to greatest (if it isn't already), the middle number will be the median. If there is a even amount of numbers in the given data set, you will take the two middle numbers and find the mean of the two.
If you want to know the others:
The mode is the number that shows up the most within the data set.
The range is the number that is obtained by subtracting the least valued number from the greatest value number.
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answers
Answer:
the number 3 is being subtracted from it because you want to get by itself
The diameter of a circle is 42 ft. Find its area to the nearest whole number.
Answers
Answer:
5539 or 1764\(\pi\)
Step-by-step explanation:
to find the area, we need the radius
The radius(R) is half of the diameter(D)
R = D/2
R = 42/2
R = 21
area of a circle(A) = pi x radius\(^{2}\)
A = pi( which most times in a problem, equals 3.14) x 42\(^{2}\)
A = 3.14 x 1764
A = 5538.96
A(when rounded) = 5539
Look at the picture
Answers
Answer:
C.
Step-by-step explanation:
use the pythogorean theorem a^2 + b^2 = c^2
Answer:
\(3cm,5cm,9cm\)
Step-by-step explanation:
\( {c}^{2} = {a}^{2} + {b}^{2} \)
\(c = \sqrt{ {a}^{2} + {b}^{2} } \)
\(9 { = }^{?} \sqrt{ {3}^{2} + {5}^{2} } \)
\(9 { = }^{?} \sqrt{9 + 25} \)
\(9 { = }^{?} \sqrt{34} \)
\(9 \neq 5.8309518948453\)
\(3cm,5cm,9cm\)
The glass portion of a window has a height to width ratio of 3:2. The wood trim
around the glass adds an additional width and height to the window. The area of the
window, including the glass and wood trim, is modeled by
A (x) = 6x2 + 37x + 56. If the height of the window is modeled by
3x + 8, find the expression to represent the width. What operation would you use
to determine the width?
A-addition
B-division
C-subtraction
D-multiplication
Answers
Answer:
Divide
Step-by-step explanation:
You find width by dividing the area by height.
The expression required to determine the width of the frame is achieved using the division operator.
(6x² + 37x + 56) ÷ (3x + 8)Area of window including the glass and wood trim :
A(x) = 6x² + 37x + 56Height of window 3x + 8To obtain the width of the window :
We divide the total area of the window by the given height A(x) ÷ HeightThe required expression is thus :
(6x² + 37x + 56) ÷ (3x + 8)The operation required in other to obtain the width of the frame from the given area and height is the division operator.
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Solve the question 12 = 24x + 12.
Answers
Answer:
x=0
Step-by-step explanation:
12=24x+12
Swap sides so that all variables are on the left side.
24x+12=12
Subtract 12 from both sides.
24x=12-12
Subtract 12 from 12 to get 0.
24x=0
The product of two numbers is equal to 0 if one of them is 0. Since 24 is not equal to 0, x must equal 0.
x=0
have a nice day!
A triangle can be formed into a parallelogram as shown in the diagram below. Which equation can be used to find the area of the triangle in the diagram?
F.A = 4⋅6
G.A = 6÷2
H.A = 12
(2⋅6
)
J.A = 12
(4⋅6
)
Answers
Answer: J. A = 12 (4⋅6).
Step-by-step explanation:
Answer: J. A = 12 (4⋅6).
This equation can be used to find the area of the triangle in the diagram because it uses the formula for the area of a triangle, which is A = 1/2 * b * h, where b is the base and h is the height. Since the triangle in the diagram has a base of 4 and a height of 6, the equation A = 12 (4⋅6) can be used to find the area.
Answer:
The diagram is not provided, so it's difficult to determine the exact dimensions of the triangle and parallelogram. However, we can make some general observations to determine which equation can be used to find the area of the triangle.
First, we know that the area of a triangle is given by the formula:
A = 1/2 * base * height
We also know that the area of a parallelogram is given by the formula:
A = base * height
In the diagram, the triangle can be formed into a parallelogram by taking one of its sides and using it as the base of the parallelogram. The height of the parallelogram is the same as the height of the triangle.
Based on these observations, we can conclude that the equation that can be used to find the area of the triangle is:
A = 1/2 * base * height
where the base is one of the sides of the triangle, and the height is the height of the parallelogram (which is the same as the height of the triangle).
None of the answer choices provided match this equation, so the correct answer is not given.
A trapezoid has vertices at A(1,2),B(−2,1),C(−4,−2), and D(2,0). a) Show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC. b) Show that the length of this line segment is half the sum of the lengths of the parallel sides.
Answers
a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.
b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.
a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.
Let's first find the coordinates of the midpoints of BC and AD:
Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)
Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)
Now, let's calculate the slopes:
Slope of AB: (1-2)/(-2-1) = -1/3
Slope of DC: (-2-0)/(-4-2) = -1/3
Since both slopes are equal, AB is parallel to DC.
Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.
Slope of the line passing through the midpoints:
(1-(-1/2))/(3/2-(-3)) = 3/2
Using the midpoint (−3,-1/2), we can write the equation of the line as:
y - (-1/2) = (3/2)(x - (-3))
y + 1/2 = (3/2)(x + 3)
2y + 1 = 3x + 9
2y = 3x + 8
This equation represents the line passing through the midpoints of BC and AD.
b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.
Length of AB:
√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10
Length of DC:
√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10
Length of the line segment joining the midpoints:
√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10
The sum of the lengths of AB and DC is:
√10 + 2√10 = 3√10
The length of the line segment joining the midpoints is:
(3/2)√10
We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:
(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10
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A system of linear equations is shown on the graph. The graph shows a line that passes through negative 10 comma 4, negative 5 comma 3, and 0 comma 2. The graph also shows another line that passes through negative 8 comma 0, negative 5 comma 3, and 0 comma 8. What is the solution to the system of equations? There is one unique solution (0, 2). There is one unique solution (−5, 3). There are infinitely many solutions. There is no solution.
Answers
The solution to the system of equations is (-10/3, 22/15) means there is only one unique solution.
The solution to the system of linear equations need to find the point the two lines intersect.
From the given information can see that one line passes through (-10, 4), (-5, 3) and (0, 2) the other line passes through (-8, 0), (-5, 3) and (0, 8).
The equations of the two lines using the slope-intercept form:
Line 1:
slope = (3-4)/(-5+10)
= -1/5
Using the point-slope form with the point (-5, 3), we get:
y - 3 = (-1/5)(x + 5)
Simplifying, we get:
y = (-1/5)x + 4
Line 2:
slope = (3-0)/(-5+8) = 1
Using the point-slope form with the point (-5, 3), we get:
y - 3 = 1(x + 5)
Simplifying, we get:
y = x + 8
Now, we can set the two equations equal to each other and solve for x:
(-1/5)x + 4 = x + 8
Multiplying both sides by 5, we get:
x + 20 = 5x + 40
Simplifying, we get:
6x = -20
x = -10/3
Substituting x = -10/3 into either equation, we can solve for y:
y = (-1/5)(-10/3) + 4 = 22/15
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It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? (That is, find P(X f$displaystyle geq f$ 3) (round to 4 decimal places) Answer:
Answers
Answer: 0.6563
Step-by-step explanation:
Given: The probability that adult workers have a high school diploma : p= 0.50
Sample size : n= 6
Let x be the number of workers have high school diploma.
Binomial distribution formula,
\(P(X=x)=\ ^nC_xp^x(1-p)^{n-x}\)
Now, the probability that 3 or more of them have a high school diploma will be:
\(P(X\geq3)=1-P(X<2)\\\\=1-(P(X=0)+P(X=1)+P(X=2))\\\\=1-(^6C_0(0.5)^6(1-0.5)^0+^6C_1(0.5)^1(1-0.5)^5+^6C_2(0.5)^2(1-0.5)^4)\\\\=1-((1)(0.5)^6+(6(0.5)(0.5)^5)+\dfrac{6!}{2!4!}(0.5)^2(0.5)^4)\\\\=1-(0.015625+0.09375+0.234375)\\\\=1-0.34375\\\\=0.65625\approx0.6563\)
Hence, required probability = 0.6563
8 - 2(3х – 1) = x+ 9?
Answers
Answer:
x=1/7 or 0.14
Step-by-step explanation:
first you distribute: 8-6x+2=x+9
next combine like terms (8 and 2): -6x+10=x+9
then subtract 1x from both sides: -7x+10=9
then subtract 10 from both sides: -7x=-1
divide both sides by -7: x=1/7 or 0.14
Think about if you solve an equation and at the end you are left with the equaton 9=15 What does this mean?
Answers
When you are left with the equation "9=15" after solving an equation, it means that there is no solution that satisfies the equation.
Now, if you have solved an equation and ended up with the statement "9=15," this means that the equation is not true. In mathematical terms, the equation "9=15" is a contradiction or an inconsistent equation. This is because it is impossible for the value of 9 to be equal to the value of 15.
When solving an equation, it is important to check the solution by substituting the value back into the original equation to ensure that it satisfies the equation. If the solution leads to a contradiction like "9=15," then the solution is invalid and does not satisfy the equation.
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When plotting an ordered pair, X comes before Y
Answers
Answer:
True
Step-by-step explanation:
I always remember it, over then up
If you can solve correctly, I’ll like and give you a brainliest :D
Answers
Answer:
c
Step-by-step explanation:
SOLVE THIS 4/Z+4/3Z=Z/3
Answers
Answer:
z= 0.0000 - 2.0000 i
z= 0.0000 + 2.0000 i
Step-by-step explanation: i used an algebraic calculator to find the two answers
Answer:
4/z + 4/3z - z/3= 0
12+4-z²/3z=0
12+4-z²=0
Z²=16
SO Z could be -4 or 4
I hope it helps❤
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list all the positive divisors of each number. (a) 24 (b) -36 (c) 35 (d) -32
Answers
Answer:
(a) 1, 2, 3, 4, 6, 8, 12, 24
(b) 1, 2, 3, 4, 6, 9, 12, 18, 36
(c) 1, 5, 7, 35
(d) 1, 2, 4, 8, 16, 32
What is the THEORETICAL probability of choosing a vowel?
Based on the experiment, what is the probability of choosing a vowel?
Answers
The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75
What is the probability of choosing a vowel?From the question, we have the following parameters that can be used in our computation:
Vowels = Letters A, I and EVowels = Letters of the word SAPPHIREIn the letters of the word, we have
Vowels = 3
Letters = 8
By calculation, the theoretical probability of choosing a vowel is
Theoretical probability = Vowels/Letters
So, we have
Theoretical probability = 3/8
Based on the experiment, we have
Vowels = 15+9+12 = 36
Letters = 8+15+7+5+20+20 = 75
So, we have
Experimental probability = 36/75
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If x is doubled, increased by 3, and then divided by 5, the result is 11. What is the value of x?
Answers
Answer: 26
Step-by-step explanation:
26 + 26 = 52
52 + 3 = 55
55 divided by 5 = 11
Hope this helped : )
Expression that equal to p/6+(q+8)
Answers
Answer: (p/6 + q) + 8
Step-by-step explanation:
A is the center of the circle, solve the following:
(34) x =
(35) y =
Answers
Pasos
(34)x=(35)y=
La ecuación está en formato estándar.
34x=35y
Divide los dos lados por 34.
34
34x
=
34
35y
Al dividir por 34, se deshace la multiplicación por 34.
x=
34
35y
Which of the numbers below is greater than zero? Select all that apply.
3.5
4/5
-1/2
3.2
-0.5
Answer fast i will give bainlyist!