Option d. 88 is the correct answer. A firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of % of 88.
The equation for the payout proportion (P) is:
P = Profits/Income
The equation for the plowback proportion (PB) is:
PB = 1 - P
Where Profits is how much profits paid out, and Income is the net gain of the firm.
On the off chance that a firm has a profit development pace of 8% and a profit from value of 20%, then we can utilize the accompanying equation to compute its income:
Profit = Profits/(Return on Value - Profit Development Rate)
Connecting the numbers, we get:
Profit = Profits/(0.2 - 0.08) = Profits/0.12
Now that we know the recipe for income, we can find the payout proportion:
P = Profits/Income = Profits/(Profits/0.12) = 0.12
Lastly, the plowback proportion:
PB = 1 - P = 1 - 0.12 = 0.88
So the firm unquestionable necessity a plowback proportion of 88%. Subsequently, the right response is: 67%.
The plowback proportion is the piece of income that a firm holds as opposed to delivering as profits. It's determined as 1 short the payout proportion, which is the proportion of profits to income. To find the plowback proportion for a firm with a 8% profit development rate and 20% profit from value, you can utilize a recipe to find its income and afterward work out the payout proportion lastly deduct it from 1 to find the plowback proportion. The plowback proportion is 88%.
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The firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of %. multiple choice question.
a. 40
b. 2.5
c. 67
d. 88
The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?
The domain of the given function would be -
- 5 ≤ x < 3.
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given is the graph of the linear equation as shown in the image.
Domain represents the set of values along the {x} - axis.
So, we can write -
- 5 ≤ x < 3
Therefore, the domain of the given function would be -
- 5 ≤ x < 3.
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prove that the number of prime numbers less than or equal to x is asymptotic to x/ln(x) as x approaches infinity.
Π(x) is asymptotic to x/ln(x) as x approaches infinity.
The prime counting function (denoted as Π(x)) is the number of prime numbers less than or equal to x. The prime number theorem states that Π(x) is asymptotic to x/ln(x) as x approaches infinity. This can be conceptually seen in the graph of Π(x) and x/ln(x), which converges as x increases.
Formally, the prime number theorem states that:
lim x→∞ Π(x)/(x/ln(x)) = 1
This can be shown by the following calculation:
lim x→∞ Π(x)/(x/ln(x))
= lim x→∞ Π(x) ln(x)/x
= lim x→∞ 1/x Σ ln(p)/p
= lim x→∞ 1/x Σ 1/p
= lim x→∞ 1/x ln(x)
= 1
Therefore, Π(x) is asymptotic to x/ln(x) as x approaches infinity.
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A line contains the points (1, 1) and (3, 9). What is the equation of the line? Must be solved algebraically.
Answer:
the equation of the line that contains the points (1, 1) and (3, 9) is y = 4x + 3.
Step-by-step explanation:
To find the equation of the line that contains the points (1, 1) and (3, 9), we can use the slope-point form of the equation of a line, which is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are any other points on the line.
We can use the first point (1, 1) and the slope of the line to find the equation of the line:
m = (9 - 1) / (3 - 1) = 4
y - 1 = 4(x - 1)
y = 4x + 3
So, the equation of the line that contains the points (1, 1) and (3, 9) is y = 4x + 3.
PLSSS HELP I LITERALLY HAVE NO CLUE WHAT IM DOING
1st row
1. 2x + x + x, x = 0
Plug in 0 as x.
0 + 0 + 0 = 0
2. 2x + x + x, x = 1
Plug in 1 as x.
2 + 1 + 1 = 4
3. 2x + x + x, x = 2
Plug in 2 as x.
4 + 2 + 2 = 8
2nd row
1. 4x, x = 0
Plug in 0 as x.
4 * 0 = 0
2. 4x, x = 1
Plug in 1 as x.
4 * 1 = 4
3. 4x, x = 2
4 * 2 = 8
Notice how the answers are the same.
This is because 2x + x + x = 4x, meaning they are the same equation.
Answer:
Attached in file
Step-by-step explanation:
What does this mean by substitution?
The act of substituting in algebra / pre-algebra / etc is plugging in a number for 'x'
In this question, they are wanting you to plug in 0, 1, and 2 to two different equations (2x+x+x and 4x) to see if they are the same equations.
(I'm going to try and make a graph, as visual learning helps)
| 2x+x+x 4x
x=0| a b
x=1 | c d
x=2| e f
Now I know that this is not perfect, but I inputted letters so that you know what I am solving for.
Solve for a:
Plug in x=0
2(0) + 0 + 0
2*0 = 0
0 + 0 + 0 = 0
So, a = 0 (What I am saying is the first blank is a, the blank next to it is b, etc)
Solve for b:
Plug in x=0
4(0) = 0
So, b = 0
Solve for c:
Plug in x=1
2(1) + 1 + 1
2 + 1 + 1
= 2 + 2
=4
b = 4
Solve for d:
Plug in x=1
4(1) = 4
d=4
Solve for e:
Plug in x=2
2(2) + 2 + 2
4 + 2 + 2
4 + 4
=8
e=8
Solve for f:
Plug in x=2
4(2)
f=8
There we go! I annotated this picture to have these values plugged into their respective spots!!
Hope this helped!!
Create an equation with one solution of x = −7.
10x − (x − 40) = 2x − ( missing number here + x)
Find an equation for a line that passes through the points (-3, 3) and (5,-5)
Answer: y = -x
Step-by-step explanation:
slope = (-5-3)/(5+3) = -1
using the point (-3,3)
y-3 = -(x+3)
y-3 = -x - 3
y = -x
Proving Vertical Angles Are Congruent
Given: angle 2 and angle 4 are vertical angles.
Prove: that angle 2 is congruent to angle 4
For those struggling, the answers are below! Hope this helps!
The proof that the vertical angles provided in the image above are congruent is given below:
Statements Reasons
1. ∠2 and ∠4 are vert. angles (Given)
2. ∠2 and ∠3 are a linear pair (Definition of Linear Pair)
3. ∠3 and ∠4 are a linear pair (Definition of Linear Pair)
4. m∠2 + m∠3 = 180 Angle addition postulate
5. m∠3 + m∠4 = 180 Angle addition postulate
6. m∠2 + m∠3 = m∠3 + m∠4 Subtraction property
7. m∠2 = m∠4 Subtraction property
8. ∠2 ≅ 4 Definition of Congruent Angles
What is a vertical angle?When two lines connect, vertical angles are generated. The angles that are opposite each other in the four produced angles are vertical angles. They are also known as vertically opposed angles. These angles are never unequal.
Congruent angles are those of equal measure. Be a result, any angles of equal measure are referred to as congruent angles. They may be found in equilateral triangles, isosceles triangles, and where a transversal connects two parallel lines.
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the following scatterplot shows the relationship between the left and right forearm lengths (cm) for 55 college students along with the regression line, left arm
The scatterplot shows a linear relationship between left and right forearm lengths in cm, for 55 college students.
The regression line is the best fit line that describes the relationship between the two variables. The formula for a linear regression line is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line in the scatterplot is 0.95, which indicates that for every 1 cm increase in the left arm, there is a 0.95 cm increase in the right arm. The y-intercept of the regression line is 8.4, meaning that when the left arm is 0, the right arm is 8.4 cm long. The equation for the regression line in the scatterplot is y = 0.95x + 8.4. This equation can be used to predict the right arm length for any given left arm length.
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5/100 in simplest form
Answer:1/20
Step-by-step explanation:
trust
Answer:
1/20
Step-by-step explanation:
5 divided by 100 is =20
5divided by 5 is =1
=1/20
consider the simple arrangement of three resistors shown. assume r sub a is greater than r sub b is greater than r sub c. the total equivalent resistance of the arrangement will be
Consider the simple given arrangement of three resistors, the total equivalent resistance of the arrangement will be smaller than the resistor C.
Please refer to the attached picture below for the give resistors arrangement.
The three resistors are arranged in a paralel circuit. Hence, the total equivalent resistance for the arrangement will be:
1/R total = 1/Ra + 1/Rb + 1/Rc
Where:
Ra = A
Rb = b
Rc = C
A < B < C
Then, the total resistance will be:
1/R total = 1/A + 1/B + 1/C
1 = BC + AC + AB
R total ABC
R total = ABC
BC + AC + AB
Next, we will try to choose any random numbers that meet the resistors condition to proof this condition. This time, we choose:
A = 3
B = 2
C = 1
Then, we need to subtitute each number to its positions:
R total = 3 x 2 x 1
2(1) + 3(1) + 3(2)
R total = 6
2 + 3 + 6
R total = 6/12
R total = 1/2 < C --> proven
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What is the graph of f(X)=2(3)^x?
The graph of the function f(X)=2(3)^x is the graph a
How to determine the graph of f(X)=2(3)^xFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2(3)^x
The above equation is an exponential function
An exponential function is represented as
y = ab^x
Using the above as a guide, we have the following:
a = 2
b = 3
The graph that has this prperty is (a)
Hence, the graph is a
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Darnell and Ebony each use 12 cups of pineapple juice to make fruit punch. Who will make more punch? How much more?
Answer: I'm sorry this question cannot be answered because of the lack of information, please resubmit your question with a picture of the page.
Step-by-step explanation:
Please help!
Solve the equation. If there is more than one solution, separate them with a comma.│5x+3│=33
8 ft
10 ft
Find the perimeter of this figure to
the nearest hundredth.
Use 3.14 to approximate .
P = [?] ft
Notice that only half of the circle is included in the figure!
The perimeter of the figure is 4(π + 9)ft.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
Given is a 2 - D figure as shown in the figure attached.
We can write the perimeter as -
P = P{rectangle} + P{semicircle}
P = 2(10 + 8) + (4π)
P = (4π) + (36)
P = 4(π + 9)
Therefore, the perimeter of the figure is 4(π + 9)ft.
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Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and q as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm? In addition, implement your algorithm and write a test program in JAVA
One efficient algorithm for finding the LCA in a tree is the Tarjan's off-line lowest common ancestor (LCA) algorithm. It uses DFS to preprocess the tree and build a table of ancestors for each node. The algorithm then uses this table to quickly find the LCA in constant time.
The running time of the algorithm is O(n) in both time and space, where n is the number of positions in the tree.
Here is a Java implementation of the Tarjan's off-line LCA algorithm:
class TreeNode {
int val;
List<TreeNode> children;
public TreeNode(int val) {
// constructor to initialize a node in the tree with a given value
this.val = val;
this.children = new ArrayList<>();
}
}
public class LCA {
private TreeNode root;
private int[] depth;
private int[] parent;
private int[][] table;
private int logN;
public LCA(TreeNode root, int n) {
// constructor to initialize the LCA class with a given root and number of nodes
this.root = root;
depth = new int[n];
parent = new int[n];
table = new int[n][20];
logN = (int) (Math.log(n) / Math.log(2)) + 1;
build();
}
private void build() {
// preprocess the tree and build the ancestor table
dfs(root, -1, 0);
for (int i = 0; i < logN - 1; i++) {
for (int j = 0; j < parent.length; j++) {
table[j][i + 1] = table[table[j][i]][i];
}
}
}
private void dfs(TreeNode node, int p, int d) {
// DFS to preprocess the tree
parent[node.val] = p;
depth[node.val] = d;
for (TreeNode child : node.children) {
dfs(child, node.val, d + 1);
}
}
public int query(int p, int q) {
// function to query the LCA of two nodes
if (depth[p] < depth[q]) {
int temp = p;
p = q;
q = temp;
}
int log = 1;
while ((1 << log) <= depth[p]) {
log++;
}
log--;
for (int i = log; i >= 0; i--) {
if (depth[p] - (1 << i) >= depth[q]) {
p = table[p][i];
}
}
if (p == q) {
return p;
}
for (int i = log; i >= 0; i--) {
if (table[p][i] != -1 && table[p][i] != table[q][i]) {
p = table[p][i];
q = table[q][i];
}
}
return parent[p];
}
}
And here is a test program:
public class Main {
public static void main(String[] args) {
TreeNode root = new TreeNode(0);
TreeNode node1 = new TreeNode(1);
TreeNode node2 = new TreeNode(2);
Tree
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4 Carmen's water bottle holds 1 8/10 liters of water. Jorge's water bottle holds
2 2/5 liters of water.
1
I
Jorge says that his bottle holds about 1/2 liter more water than Carmen's. Fill in the
blanks to explain whether Jorge's estimate is reasonable. Use the numbers in
Answer:
Carmen's water bottle holds 1 8/10 liters of water, which can be written as 18/10 liters or 1.8 liters.
Jorge's water bottle holds 2 2/5 liters of water, which can be written as 22/5 liters or 4.4 liters.
Jorge's estimate of his water bottle holding about 1/2 liter more water than Carmen's is reasonable because:
4.4 liters (Jorge's bottle) - 1.8 liters (Carmen's bottle) = 2.6 liters
2.6 liters is close to the estimate of 1/2 liter, so Jorge's estimate is reasonable.
A pattern rule for a number pattern is represented by 55 - 8n, where n is the term number.
A) Write the first six terms in the pattern. Explain the pattern rule.
B) What is the 30th term in this pattern?
A) All the first six terms in the pattern are,
⇒ 47, 39, 31, 23, 15, 7
Every number is 8 more than the next number.
B) The 30th term in this pattern is, - 185
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A pattern rule for a number pattern is represented by,
⇒ 55 - 8n, where n is the term number.
Now, All the first six terms in the pattern are,
Substitute n = 1;
⇒ 55 - 8n
⇒ 55 - 8 × 1
⇒ 55 - 8
⇒ 47
Substitute n = 2;
⇒ 55 - 8n
⇒ 55 - 8 × 2
⇒ 55 - 16
⇒ 39
Substitute n = 3;
⇒ 55 - 8n
⇒ 55 - 8 × 3
⇒ 55 - 24
⇒ 31
Substitute n = 4;
⇒ 55 - 8n
⇒ 55 - 8 × 4
⇒ 55 - 32
⇒ 23
Substitute n = 5;
⇒ 55 - 8n
⇒ 55 - 8 × 5
⇒ 55 - 40
⇒ 15
Substitute n = 6;
⇒ 55 - 8n
⇒ 55 - 8 × 6
⇒ 55 - 48
⇒ 7
B) The 30th term in this pattern is,
Substitute n = 30;
⇒ 55 - 8n
⇒ 55 - 8 × 30
⇒ 55 - 240
⇒ - 185
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Jen is packing a box for her brother at college. The package must weigh less than 12 pounds. The table shows the weight of items she has already placed in the box.
She has the following items she wants to pack: a sweatshirt that weighs 1.25 pounds, a package of socks that weighs 1.2 pounds, and a book that weighs 0.75 pound. Jen places one more item in the box. Which of the items could she send?
Jen could send the ______________.
Jen could send either a package of socks or the book.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
The table shows the items with weights which are already packed.
Total weight of the items already packed = 5.2 + 1.25 + 2.05 + 2.25
= 10.75 pounds
But it is given that, package must weight less than 12 pounds.
Weight of the item that is being added must be less than weight = 12 - 10.75 = 1.25
Weight of sweatshirt is 1.25 pounds, so it can't be placed.
She could place either package of socks or book.
Hence Jen could any one of the following : a package of socks or book.
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Sally wants to but a pair of shoes that cost $48. When she get to the store she finds out that they are on sale for 20% off. how much will she pay for the shoes after the discount? Show all your work.
Answer:
$38.4
Step-by-step explanation:
In other words, a 20% discount for a item with original price of $48 is equal to $9.6 (Amount Saved). - Note that to find the amount saved, just multiply it by the percentage and divide by 100.
$48 - $9.6 (amount saved) = $38.4
Needle Mountain is 155 km west of Mount
Idris at a bearing of 289°.
How far apart are the two mountains?
Give your answer to the nearest km.
Answer:
654.85:4
Step-by-step explanation:
just took the test!
Solving inequalities #3
What is the area of a circle with a diameter of 16 meters? Leave the answer in terms of π.
256π square meters
64π square meters
16π square meters
8π square meters
The area of a circle with a diameter of 16 meters is equal to: B. 64π square meters.
How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area = πr²
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 16/2 = 8 meters.
By substituting the radius into the formula for the area of a circle, we have the following;
Area of circle = π × 8²
Area of circle = 64π square meters.
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Answer:64 PI
Step-by-step explanation:
gcf for z(y+5)-3(y+5)
The GCF of the two expressions is (y + 5).
How can we prove it ?The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of each of the expressions. To find the GCF of two expressions, we need to factor out the common factors from each expression.
Given expressions: z(y + 5) - 3(y + 5)
We can start by factoring out (y + 5) from both terms:
z(y + 5) - 3(y + 5) = (y + 5)(z - 3)
So, the GCF of the two expressions is (y + 5).
What is GCF?The greatest common factor (GCF) is the largest positive integer that is a factor of two or more numbers. It is a useful concept in mathematics, especially in the study of numbers and their properties. The GCF helps us simplify expressions by cancelling out common factors and reducing the complexity of expressions. For example, the GCF of 12 and 18 is 6, meaning that 6 is the largest number that is a factor of both 12 and 18. To find the GCF, we can use prime factorization to identify the common factors and then multiply those factors to obtain the GCF.
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Select the correct answer. What is the simplest form of square root of 392x ^15
The simplest form of the square root is 14x⁷√2x.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression, [tex]\sqrt{(392x^{15} )}[/tex]
factors of 392 = 2*2*2*7*7
or factors of 392 = 2*14*14
and x¹⁵ = x¹⁴.x
substitute the values,
[tex]\sqrt{(2*14*14x^{14}x )}[/tex]
or √2x(√14²)(√x¹⁴)
= 14x⁷√2x
Hence option C is correct.
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A $25,000 deposit increases in the bank by 3% per year. Determine the value after 7 years.
The value of the deposit after 7 years is given as follows:
$30,746.85.
How to model the situation?The situation is modeled with an increasing exponential function, which has the format presented as follows:
y = a(1 + r)^x.
In which:
a is the initial value.r is the growth rate, as a decimal.Considering the deposit and the yearly increase, the parameters are given as follows:
a = 25000, r = 0.03.
Hence the function is given as follows:
y = 25000(1.03)^x.
The value after 7 years is given as follows:
y = 25000(1.03)^7
y = $30,746.85.
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 90 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
She uses 27 ounces of solution A and 63 ounces of Solution B.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Solution A is 45% salt and Solution B is 95% salt.
Let x be the number of ounces of Solution A
and y be the number of ounces of Solution B
as, She wants to obtain 90 ounces of a mixture then
x + y = 90
y = 90 - x.........(1)
and, 0.45x + 0.95y = 0.80( 90)
0.45x + 0.95y = 72
Put the value of y from equation (1) we get
0.45x + 0.95( 90-x)= 72
0.45x + 85.5 - 0.95x = 72
0.5x = 13.5
x= 27 ounces
and, y= 90-27 = 63 ounces.
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Write an equation that would change the graph of y=(x-2)^3+5
A. Move it 2 spaces left
B. Flip it vertically
C. Vertically stretch it
Show work
We may multiply the y-values by -1 to flip the graph of y = (x - 2)^3 + 5 vertically. This will display the graph along the x-axis. The inverted graph's equation is y = -((x - 2)^3 + 5).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
To flip the graph of y = (x - 2)^3 + 5 vertically, we can multiply the y-values by -1. This will reflect the graph across the x-axis. The equation for the flipped graph is: y = -((x - 2)^3 + 5).
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Draw a number line to show 2/3 + 2/3
Answer:
4/3
Step-by-step explanation:
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 4 in the hundredths place is (Response area) the value of the 4 in the tens place.
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place, is ,the correct option is 1/1000.
What is place value?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
The number 42,316 is different from 61,432 because the digits are in different positions.
here,, we have,
i) the 4 in the hundredths place will give us the value 0.04 = 4/100
ii) the value of 4 in the tens place gives us the value = 4 × 10 = 40
iii) to compare the value of 4 in the hundredths place to the value of 4 in the tens place we divide the value obtained in i) by the value obtained in ii).
Therefore we get the value of the comparison as = (4/100)/40
=1/1000
Therefore the correct option is 1/1000.
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A line has a slope of 5 7 and passes through the point (12,9). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation in slope-intercept form is y = 5/7x + 3/7
How to determine the equation of the lineIt is important to note that the equation of a line is expressed with the formula;
y = mx + c
Such that the parameters are;
y is a point on the y -axis of the graphm is the slope of the line of graphx is a point on the x-axis of the graphc is the intercept of the line on the y-axis of the graphFrom the information given, we have that;
slope, m = 5/7
Now, let's substitute the points into the formula, we have;
9 = 5/7(12) + c
expand the bracket
9 - 60/7 = c
find the lowest common multiple
c = 63-60/7
c = 3/7
The equation of the line is ; y = 5/7x + 3/7
Hence, the equation is y = 5/7x + 3/7
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