The graph of linear function g is shown on the grid (- 8, 3) (- 3, - 4.5)
What are the coordinates of the y-intercept?
Answers
The co-ordinates of the y-intercept is (0,-9) .
Y-intercept is the point on the graph where the graph passes over the y-axis.
To calculate the y-intercept we have to graphically represent the curve and pick out the points where the graph crosses over the x-axis.
For a graph with an equation in the form y = f(x) , y intercept can be calculated by substituting the value of x as 0 in the equation.
In the graphical representation we can see that the graph passes through (- 8, 3) and (- 3, - 4.5).
Therefore the slope of the line passing through these points is given by:
[tex]m=\frac{-4.5-3}{-3-(-8)} \\\\m=\frac{-7.5}{5} \\\\m=-\frac{3}{2}[/tex]
Now the equation of the line is given by :
[tex]y-3 =- \frac{3}{2} (x-(-8))[/tex]
[tex]y-3 =- \frac{3}{2} x - 12[/tex]
[tex]y=- \frac{3}{2} x - 9[/tex]
Therefore at x = 0 , the value of y is -9.
So the y-intercept is given by the point (0,-9) .
to learn more about the y-intercept visit:
https://brainly.com/question/14180189
#SPJ1
The coordinates of the y-intercept are ( 0 , 9 / 5 ) .
Finding equation of line :
( y - 3 ) / ( x + 8 ) = ( 3 + 4.5 ) / ( - 8 + 3 )
( y - 3 ) / ( x + 8 ) = ( 7.5 ) / ( - 5 )
- 5 y + 15 = 7.5 x + 6
- 5 y - 7.5 x + 9 = 0
Equation of line : 5 y + 7.5 x - 9 = 0
Writing equation in Slope - Intercept form
y = m x + c
y = [ ( - 7.5 x ) / ( 5 ) ] + [ 9 / 5 ]
Hence , y - intercept = 9 / 5 .
To learn more on y - intercept follow link :
https://brainly.com/question/10700419
#SPJ1
Related Questions
Muscles Gym has a rack of hand weights. There are four hand weights that weigh 5 pounds each. What is the area of the side of the hand weight shown ?
Answers
Answer:
21 7/8 in^2
Step-by-step explanation:
explantation up top
Calculate the finance charge for a credit card that has given the average daily balance and interest rate. (Round your answer to the nearest cent.) average daily balance: $118.18, monthly interest rate: 1.15%
Answers
The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
What is finance charge?The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.
Given:
Average daily balance: $118.18,
monthly interest rate: 1.15%
According to given question we have
A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .
i.e
[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]
Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
Learn more details about finance charge here:
https://brainly.com/question/2588555
#SPJ1
Find the equation of the containing the points (3,0) that is perpendicular to the line y=-3/4x+1
Answers
The equation containing the point (9,12) is y = 4/3x.
What are equations?An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations. When you don't know the exact number in a calculation, you use algebra. Many professionals, including air traffic controllers, architects, computer programmers, and carpenters, use equations on a daily basis.So, perpendicular = m1 × m2 = -1:
Now,
- 3/4 × 4/3 = -1y = 4/3x + b10 = 1/3(9) + b12 = 12 + bb = 0y = 4/3x + 0y = 4/3xTherefore, the equation containing the point (9,12) is y = 4/3x.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
The correct question is given below:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).
it takes 4 cans of paint to paint 1/3 of a room. How many cans of paint do I need to paint 1 room? Solve using a strip diagram
Answers
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
What is the number of cans that would be required to paint one room given the premise as in the task content?It follows from the task content that the number of cans of paint that would be required to paint one room according to the task content be determined.
Hence, since it takes 4 cans of paint to paint 1/3 of a room.
Hence, since there are 3 One-thirds in a whole, it follows from proportion that the number of cans of paints required is;
= 3 × 4 cans of paint
= 12 cans of paint.
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
Read more on proportion;
https://brainly.com/question/18437927
#SPJ1
Simplify −3(5x + 1) + completely. 8 16(x − 9)
Answers
The expression is simplified to x - 147
What are algebraic expressions?Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.
They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.
Given the expressions;
−3 (5x + 1) + 16(x − 9)
First, we have to expand the bracket
-15x -3 + 16x - 144
collect like terms, we have;
-15x + 16x - 144 - 3
Add or subtract like terms as seen in the expression
x - 147
Note that the expression is simplified to x - 147
Thus, the expression is simplified to x - 147
Learn more about algebraic expression here:
https://brainly.com/question/4344214
#SPJ1
3.007 as a fraction?
Decimal > Fraction
Answers
Answer:
3 7/100
Step-by-step explanation:
3007/1000 = 3 7
1000
The three is to the left of the decimal point so it is a whole number, which makes the fraction a mixed number.
The 7 is three places to the right of the decimal point, which when multiplying 10^3 will result in 1,000. Therefore, the denominator is 1,000.
3.007 as a fraction is 3 7/1000.
Question 20 (5 points) The Torre Company has the following stockholders' equity account balances in stockholders equity on December 31. Common Stock - $5 par, 60,000 shares issued 340,000 Paid-In Capital in Excess of Par-Common Stock 650,000 Preferred Stock - $100 par, 5,000 shares issued 590,000 Paid-In Capital in Excess of Par-Preferred 120,000 Retained Earnings 240,000 Treasury Stock (cost-$10 per share) 120,000 If net income for the year was $110,000 and a preferred stock dividend of $30,000 was paid, what was the beginning value of retained earnings?
Answers
According to the solving the beginning value of retained earnings:
= $1,60,000.
What is retained earnings?Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.
How do I figure up my retained earnings?To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).
According to the given data:Retained earnings, ending = $240,000.
Net income = $110,000.
Preferred stock dividend = $30,000.
Retained earning, beginning = ?
Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend
$240,000 = Retained earning, beginning + 110,000 - 30,000
Retained earning, beginning = 1,60,000
According to the solving the beginning value of retained earnings:
= $1,60,000.
To know more about retained earnings visit:
https://brainly.com/question/13980094
#SPJ9
im so confused on this (help ASAP)
Answers
Answer:
x = 4
Step-by-step explanation:
Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)
Perimeter of square: P = 4(6.5x - 11.8)
so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)
5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2
12.2x + 8 = 26x - 47.2
26x - 12.2x = 8 + 47.2
13.8x = 55.2
x = 55.2/13.8 = 4
(5x-1)+(5x-1)+(2.2x+10) is equal to 4(6.5x-11.8) ***the four represents the four sides of the square***
first u have to simplify so add all the numbers with x and all the numbers without x
12.2x + 8 equals 26x - 47.2
now u have to move the x values on one side and the non values to the other
8+47.2 = 26x-12.2x
so u get
55.2 = 13.8x
now u divide by 13.8 on both sides so u get x
x = 4
(c)
If two marbles are selected at random without replacing between draws, what is the probability that the outcome contains green and/or blue marbles only? (Round your answer to four decimal places.)
(d)
If three marbles are selected at random without replacing between draws, what is the probability that the outcome contains only green marbles? (Round your answer to four decimal places.)
(e)
If three marbles are selected at random with replacing between draws, what is the probability that the outcome contains no green marbles? (Round your answer to four decimal places.)
Answers
The following issues have the following needed probabilities: 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.
Here,
Four red marbles, five yellow marbles, three green marbles, and three blue marbles make up a jar.
There are 15 marbles in all.
1) Chance that the result exclusively includes green and/or blue marbles,
= 2 / 6 = 1 / 3
2.) Chance that the result solely contains green marbles
= 3 / 15 = 1 / 5
3.) the likelihood that there won't be any green marbles in the result,
= 3 / 12 = 1 / 4
As a result, the needed probability for the following issues is given: 1.) 1 / 3. 2.) 1 / 5, and 3.) 1 / 4.
Here is additional information about probability:
brainly.com/question/14290572
#SPJ1
Teresa has a total of 13 coins.
None of them are pennies, and she has at least three each of quarters, dimes, and nickels.
What is the least amount of money she can have?
Answers
Answer: $0.65
Step-by-step explanation:
She can have all nickels since at least 3 nickels means that there is a possibility that all 13 of her coins are nickels.
100 cents=1 dollar
Nickel=5 cents
5 cents * 1 dollar/100 cents=
5*1/100=0.05 dollars
Hence, the least total amount of money she could have is:
13*0.05=$0.65
This is equivalent to 140 cents.
==========================================================
Explanation:
"she has at least three each of quarters, dimes, and nickels"
Let's say she has exactly 3 of each for now
3 quarters = 3*25 = 75 cents3 dimes = 3*10 = 30 cents3 nickels = 3*5 = 15 centsSo far she has 75+30+15 = 120 cents (aka $1.20) with the 3*3 = 9 coins mentioned. There are 13-9 = 4 coins remaining
To achieve the least money possible, those missing four coins must be the smallest denomination allowed, i.e. the nickel. We can't go for penny since it states "none of them are pennies". So we add 4*5 = 20 more cents onto 120 to get 120+20 = 140 cents aka $1.40
True or false is zero is subtracted from an integer the result is the integer
Answers
[tex] \chi - 0 = \chi \\ 2 - 0 = 2 \\ y - 0 = y\\ .....[/tex]
TrueAny number take away zero, is still that number.
Which of the following numbers has an odd number of factors
A) 12
b) 24
c) 36
d) 48
Answers
Is the right answer
Find the equation of the plane that goes through three points:
A (0, 3, 4)
B (1, 2, 0)
C (-1, 6, 4)
I know there are good algorithms to do this problem with, and I've gotten 6x - 2y + z = -2 as my answer, which is correct to my knowledge.
HOWEVER...the teacher wants to go with a three-variable, three-equation system of equations with the format of z = m(x) + n(y) + c for each point.
That would mean the following equations:
4 = m(0) + n(3) + c
0 = m(1) + n(2) + c
4 = m(-1) + n(6) + c
I'm confused as to why anyone would want us to use a system.
How do I proceed from here to get the same answer as the algorithm got?
Answers
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
How to find the equation of a plane given three points?The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
3b + c = 4.a + 2b + c = 0.-a + 6b + c = 4.From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at https://brainly.com/question/13854649
#SPJ1
Determin whether the relation defines a function, and give the domain and range.
Answers
The relation is not a function if its domain is on the x-axis and its range is on the y-axis. However, if the relation's domain is on the y-axis and its range is on the x-axis, it is a function.
If so, what kind of function is it?
Relationships are defined by three factors:
1. domain is a set of inputs.
2. an output set referred to as range.
3 . relationships between domain and range-related items.
If and only if each element of the domain is associated to just one member of the range, is a relation a function. It must be noted that the solution may vary based on the domain and range that we assume.
The provided relation is a function if the x-axis is the range and the y-axis is the domain, as opposed to when the x-axis is the domain and the y-axis is the range.
To learn more about this visit , https://brainly.com/question/28574205
#SPJ9
Part 1: Use complete sentences to explain why solar flares occur.
Part 2: Give two examples in which solar flares impact Earth.
Answers
Some consequences of solar flares on Earth are: radio blackouts, intense auroras, damage to communication satellites, among others.
What is a solar flare?A solar flare is a term that refers to a sudden and intense release of electromagnetic radiation in the Sun's Chromosphere. In general, what happens in a solar flare is that the plasma is heated to tens of millions of degrees kelvin; this accelerates electrons, protons, which in turn produces electromagnetic radiation in all wavelengths of the electromagnetic spectrum.
How do solar flares impact the Earth?Strong solar flares can cause different manifestations on Earth such as:
By sending huge clouds of plasma into space that hit the Earth they can cause geomagnetic storms and intense auroras.Some larger waves can trigger radio blackouts.Some waves can cause power outages and damage communication satellites.Some waves can damage electronic equipment and the equipment of astronauts or passengers on high-flying aircraft.Learn more about solar flares in: https://brainly.com/question/2886237
#SPJ1
Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?
Answers
The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.
In a general point (x,y) , the value x represents the distance from origin to point along x - axis,
and
the value y represents the distance from origin to point along y axis.
It is given in the question that
There are two points in which the y coordinate of both the points is same
the x coordinate is of opposite signs.
Let us take an Example
let the points be A(a,b) and B(c,d)
According to the question
b = d and -a = c
So the points will become (a,b) and (-a,b)
For Example ;
let a=2, b=3
the two points will become (2,3) and (-2,3).
Therefore , the possible graph of these points is shown below .
Learn more about Graphs here https://brainly.com/question/4619801
#SPJ1
A truck driver is driving on an interstate and is about 150 miles from his planned exit. He is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side. Find the minimum and maximum numbers of hours the truck driver will drive before stoping for a rest.
Answers
The minimum and maximum numbers of hours the truck driver will drive before stoping for a rest will be 3.6 hours and 2.4 hours respectively.
How to illustrate the information?From the information, the truck driver is driving on an interstate and is about 150 miles from his planned exit and he is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side.
Therefore, the appropriate equation be:
50h - 150 = 30
50h = 30 + 150
50h = 180
Divide
h = 180 / 50
h = 3.6 hours.
The minimum hours will be:
50h = 150 - 30
50h = 120
h = 120/50
h = 2.4 hours.
Learn more about time on:
brainly.com/question/10428039
#SPJ1
cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10
Answers
Answer:
the answer would be 5a+2b-10
What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?
Answers
The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is the rotation of a point counterclockwise about the origin?Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).
Here, the point counterclockwise about the origin → (-(-9), -7).
Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
Learn more about the Dilation here:
brainly.com/question/13176891
#SPJ1
Point W (-2,4) from square WXYZ is translated 4 units right. What are the coordinates for W’ ?
Answers
Answer:
W' (2, 4 )
Step-by-step explanation:
a translation of 4 units right means add 4 to the x- coordinate, that is
W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )
Solve for h.
V=1/3bh
Answers
Answer:
h = 3V /b
Step-by-step explanation:
V=1/3bh
Solve for h
Multiply each side by 3
3V = 3*1/3bh
3V = bh
Divide each side by b
3V/b = bh/b
3V /b = h
h = 3V /b
Answer:
[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]
How do you solve this?
Answers
The measures of the angles are:
m<7 = 47°
m<8 = 62°
m<1 = 62°
m<2 = 71° [vertical angles theorem]
m<5 = 109°
m<3 = 109°
m<4 = 35°
m<6 = 29°
What is the Alternate Interior Angles Theorem?The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.
Measure of angle 7 = 47° [based on the alternate interior angles theorem]
Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]
Measure of angle 8 = 62°
Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]
Measure of angle 1 = 62°
Measure of angle 2 = 71° [vertical angles theorem]
Measure of angle 5 = 180 - 71 [linear angle theorem]
Measure of angle 5 = 109°
Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]
Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]
Measure of angle 4 = 180 - 109 - 36
Measure of angle 4 = 35°
Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]
Measure of angle 6 = 180 - 109 - 42
Measure of angle 6 = 29°
Learn more about the alternate interior angles theorem on:
https://brainly.com/question/24839702
#SPJ1
write the answer from top to bottom
Answers
Answer:
b
Step-by-step explanation:
state 3 fractors other than $/ hours
The sum of two numbers is 14 . One number is 2 less than the other. Find the numbers.
Answers
The two numbers are 6 and 8.
What are the two numbers?The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.
x + y = 14 equation 1
x - y = 2 equation 2
Where:
x = larger number
y = smaller number
The simultaneous equations would be solved using the elimination method
Now, subtract equation 2 from equation 1
2y = 12
Divide both sides of the equation by 2
y = 12 / 2
y = 6
Substitute for y in equation 2
x - 6 = 2
Add 6 to both sides of the equation
x = 2 + 6
x = 8
To learn more about simultaneous equations, please check: https://brainly.com/question/15165519
#SPJ1
3^4 x 10^6
What is the answer ??
Answers
The Earth’s total land area is 57,308,738 square miles. The land area of North America is about 16.5% of this total. Estimate the land area of North America. Describe your strategy.
Answers
The land area of North America is 9,455,941.77 square miles.
What is the land area of North America?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.
In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.
Land area of North America = percentage of the land area of North America x total land area
16.5% x 57,308,738
0.165 x 57,308,738 = 9,455,941.77 square miles
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
mario se fue de compras con 90 soles los cuales gasto de la siguiente manera en chompas gasto el doble que en camisas y en pantalones gasto el triple que en camisas¿ caunto gasto en pantalones?
Answers
The amount spent on pants based on the information illustrated is 45 soles.
How to calculate the value?Let the amount spent of shirt = x
Amount spent on sweaters = 2x
Amount spent on pants = 3x
Amount spent = 90
Therefore, the value will be:
x + 2x + 3x = 90
6x = 90
Divide
x = 90/6
x = 15
Therefore, the amount spent on pants will be:
= 3x
= 3 × $15
= 45 soles.
Learn more about numbers on:
brainly.com/question/24644930
#SPJ1
what is the value of the algebraic expression if x=1/2, y -1, and z=2?
Answers
The value of the given algebraic expression 6x(y²z) is (D) 6.
What are algebraic expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. 2(x + 8y) is an algebraic expression, for example.So, substitute the values of x, y, and z in the given expression:
6x(y²z)
When x = 0.5, y = -1 and z = 2
= 6(0.5)((-1)²)(2)= 3(1)(2)= 6Therefore, the value of the given algebraic expression is (D) 6.
Know more about algebraic expressions here:
https://brainly.com/question/2164351
#SPJ9
The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)
A. -12
B. -6
C. 1
D. 6
dont mind the answer I put thank y’all!!
Answers
Answer:
your right
Step-by-step explanation:
the answer is k and l thats right pls mark brainliest
or hit the thanks button!!!!!!!
pls and thank you!
1/3 x 3/5 = hgggbbbhbh
Answers
Answer:
14/15
Step-by-step explanation:
