Answers
Answer:
The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8 ⇒ B
Step-by-step explanation:
The slope-intercept form of the linear equation is:
y = m x + b, where
m is the slopeb is the y-interceptFrom the given in the question
∵ The slope of the line is [tex]-\frac{3}{4}[/tex]
∴ m = [tex]-\frac{3}{4}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + b
→ To find b substitute x and y by the coordinates of any point on the line
∵ The line passes through the point (8, 2)
∴ x = 8 and y = 2
∵ 2 = [tex]-\frac{3}{4}[/tex] (8) + b
∴ 2 = -6 + b
→ Add 6 to both sides to find b
∴ 2 + 6 = -6 + 6 + b
∴ 8 = b
→ Substitute the value of b in the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + 8
∴ The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8
Related Questions
write the equation of the line parallel to 2x - 3y = 0 and passes through the point (5, 4).
Answers
Answer:
2x - 3y = 2Step-by-step explanation:
Parallel lines have same slope
Given line, in slope intercept form
2x - 3y = 03y = 2xy = 2/3xParallel line is
y = 2/3x + bUsing point (5, 4) to find b
4 = 2/3*5 + bb = 12/3 - 10/3b = 2/3y = 2/3x + 2/3 in slope-intercept form or
2x - 3y = 2 in standard form
The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday. On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed. On Wednesday, Louie ate 1 less than 3/4 of the total number of burritos consumed. Write an equation to determine the total number of burritos consumed. Hint: let x = # burritos consumed.
Answers
Answer:
The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
Step-by-step explanation:
Let x be the total number of burritos consumed
We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed
So, Number of burritos ate by Delainey on Tuesday=[tex]\frac{1}{2}x+16[/tex]
We are also given that Louie ate 1 less than 3/4 of the total number of burritos consumed.
So, Number of burritos ate by Louie on Wednesday =[tex]\frac{3}{4}x-1[/tex]
We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.
So, [tex]\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x[/tex]
Hence the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
The scale of a map is 1 cm : 80 km. What is the actual distance between two towns that are 3 cm apart on the map?
Answers
Answer:
240km
Step-by-step explanation:
3*80=240
1cm=80km
3cm=240km
albert bought a jacket for $34.35, a pillow for $11.75, and a glove for $16.25. albert paid $60 and the rest he borrowed from a friend. If albert got $7.65 in change from the cashier, how much did albert borrow from his friend to pay for all the items?
Answers
Answer:
$10
Step-by-step explanation:
add all prices subtract $60 then add 7.65
The slope of a line is the ratio of the
A.
vertical change to the horizontal change between any two points on the line.
B.
x-intercept to the y-intercept.
C.
y-intercept to the x-intercept.
D.
horizontal change to the vertical change between any two points on the line.
Answers
Answer:
A.
vertical change to the horizontal change between any two points on the line.
Step-by-step explanation:
slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.
The slope of a line is the ratio of the : A. Vertical change to the horizontal change between any two points on the line.
The slope of a line is the gradient of a line and it describes (represents) both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is calculated by using this formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Hence, the slope of a line is the ratio of the change in y-axis (vertical) to the change in x-axis (horizontal) of a line.
Additionally, the standard form of an equation of line is given by the following formula;
[tex]y = mx + b[/tex]
Where:
x and y are the points. m is the slope. b is the intercept.In conclusion, the ratio of the vertical change to the horizontal change between any two points on the line is the slope of a line.
Read more: https://brainly.com/question/18123312
Which fraction is equivalent to negative 4 over 6?
Answers
Answer:
Step-by-step explanation:
The answer is 4 over negative 6 is equal to negative four over six.
hope this helps.
PLEASE HELP HELP. I don’t get the 8 and 9
Answers
Answer: y=8 m=5
Step-by-step explanation:
Answer:
1. 3.125
2. 4.5
Step-by-step explanation:
1. Since the figures are similar, the number you divide from one triangle to the other is the same, no matter the side length. 5(x) = 8 so 5/x = y. If x = 1.6, then y equals 3.125.
2. The same thing here. 4/x = 3 and 6/x = m. In the first equation x would be 1 1 1/3. 6/ 1 1/3 is the same as 6 x 3/4 which is 18/4 or 4.5.
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $75.00
Markdown: 34%
The sale price is, in dollars, is:
Answers
Answer:
23.9$
Step-by-step explanation:
IM smart
Answer:
$49.50
Step-by-step explanation:
Rewrite in simplest terms: -4(-2x-7)+6x-7
Answers
6x+28+6x-7
12x+21
Solve the equation.
3/2y - 5 = -2
Answers
Answer:
y= 1/2 is the answer.
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
angle a and b are supplementary angles. angle where a = 30+2x and b =x what is the measure of b degress
Answers
Answer:32 times 4 - 8 in degrees
Step-by-step explanation:
Since b = x, hence the value of b is 30 degrees
For two angles to be supplementary, the sum of the angles must be equal to 180 degrees
Given the angles
a = 30 + 2x
b = x
Equating the sum to 180
a + b = 180
30+2x + x = 180
30 + 3x = 180
3x = 180 - 30
3x = 150
x = 30 degrees
Since b = x, hence the value of b is 30 degrees
Learn more here: https://brainly.com/question/22309882
What is the solution to the equation
[tex] \sqrt{2x - 4} equals6[/tex]
Answers
Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer
Answers
Brayden would make the most shots in 30 attempts.
Rachel and four friends were going to the movies. Each ticket cost $11 and then they bought 2 popcorns at $3.75 each, and they each bought their own soda at $2.75 each. How much money did they spend total for their trip to the movies? If they decide to split the bill, how much will they each pay?
Answers
Answer:
Total amount spent [tex]=\$73.5[/tex]
If they decide to split the bill, amount paid by each of the person [tex]=\$15.25[/tex]
Step-by-step explanation:
Cost of each movie ticket = $11
Cost of 5 tickets = 5(11)= 55
Cost of each packet of popcorns = $3.75
Cost of two packets of popcorns = $2(3.75) = $7.5
Cost of each soda = $2.75
Cost of five sodas = $5(2.75) = $13.75
Total number of persons (Rachel and four friends) = 5
Total amount spent [tex]=11(5)+2(3.75)+5(2.75)=55+7.5+13.75=\$76.25[/tex]
If they decide to split the bill, amount paid by each of the person = [tex]\frac{76.25}{5}=\$15.25[/tex]
if f(x)=3x-2 and g(x)=+1, find (f+g)(x)
A. 5x-3
B. 5x-1
C. x-1
D. x-3
Answers
Answer:
3x-2+2x+1=5x-1
Step-by-step explanation:
Helppp it’s 7: 50 and and I need this by 8 help!!!!
Answers
Answer:
The equation is y = 12.5x I believe.
Answer;
The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
The equation is
y = 12.5 × t
Explanation:
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25
miles
÷
2
hours
=
12.5
miles
hour
A direct proportionality will always result in an equation that resembles this:
y = k x where y and x are the related quantities and k is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. And if the values given are real physical quantities, this constant will contain important information about the situation you are studying.
ANSWER>> WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED?<
Answers
Answer:A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The domain of a parabola is always x er, unless it's been inverted then it's the opposite.
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism? (1 point) Group of answer choices A. Fraction 2 and 3 over 10 cubic inches B. Fraction 3 and 3 over 5 cubic inches C. Fraction 7 and 1 over 5 cubic inches D. Fraction 7 and 1 over 10 cubic inches
Answers
Given:
A right rectangular prism is packed with cubes of side length [tex]\dfrac{1}{5}[/tex] inch.
Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find:
The volume of the prism
Solution:
Side length of each cube [tex]=\dfrac{1}{5}[/tex] inch.
15 cubes along the length, so length of prism is
[tex]l=15\times \dfrac{1}{5}=3\text{ inches}[/tex]
6 cubes along the width, so width of prism is
[tex]b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}[/tex]
5 cubes along the height, so height of prism is
[tex]h=5\times \dfrac{1}{5}=1\text{ inch}[/tex]
Now,
Volume of rectangular prism is
[tex]V=l\times b\times h[/tex]
[tex]V=3\times \dfrac{6}{5}\times 1[/tex]
[tex]V=\dfrac{18}{5}[/tex]
[tex]V=\dfrac{3\times 5+3}{5}[/tex]
[tex]V=3\dfrac{3}{5}\text{ cubic inches}[/tex]
Therefore, the correct option is B.
X-9y=17 find y (use integers or fractions for any numbers in the expression)
Answers
Let's see what to do buddy...
_________________________________
[tex]x - 9y = 17[/tex]
Subtract the sides of the equation minus x
[tex] - 9y = 17 - x[/tex]
Divided the sides of the equation by -9
[tex] \frac{ - 9}{ - 9}y = \frac{17 - x}{ - 9} \\ \\ [/tex]
[tex]y = \frac{ - (17 - x)}{9} \\ [/tex]
[tex]y = \frac{x - 17}{9} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
For a field trip, 25 students rode in cars and the rest filled eight buses. How many students
were in each bus if 321 students were on the trip?
Answers
321-25=296
296/8=37
Hope this helps and please mark brainliest!!
Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?
-3mn^3 - 4n^4 + 2mn - 6n - 5mn^3 - 6m^3n
Answers
Answer:
-3mn^3 and -5mn^3
Step-by-step explanation:
had it correct on my test - PLATO
Marcus has to add -3mn^3 and -5mn^3 to complete the polynomial.
Marcus is rewriting a polynomial by combining like terms
What is polynomial?Polynomial equation is equation of independent variables.
Here, questions seems to be incomplete.
In polynomial, it can be of maximum endless number of term or minimum 1 term. Marcus can add any number or repeat any number. And if he revised the old number than the number could be -3mn^3 and -5mn^3.
Thus, Marcus has to add -3mn^3 and -5mn^3 to complete the polynomial.
learn more about polynomial here:
brainly.com/question/11536910
#SPJ2
8 + 11x
12x + 1
What’s the value of X?
Answers
Answer:
x = 7
Step-by-step explanation:
8 + 11x = 12x + 1
-x + 8 = 1
-x = -7
x = 7
Answer:
Step-by-step explanation:
find the following
50%of20
Answers
Answer:
10%
Step-by-step explanation:
you would just divide it by 2.
Answer:
10
Step-by-step explanation:
because 50% is half so the half of 20 when you break it down is 10 or if its a percent 10%
Jordan is purchasing a summer home. The home he wanted to buy was originally $227,000.
When he looked today, the home is selling for 12% less. What is the home selling for today?
Answers
Answer:
$199,760
Step-by-step explanation:
$227,000
- 12%
---------------------
$199,760
The perimeter of your closet is equal to 18 feet. The difference of the length and the width equals 1 foot. Write a system of linear equations which represent the perimeter of your closet in respect to its width (x-axis) and length ( y-axis), and solve the system by graphing.
Answers
9514 1404 393
Answer:
length: y = 5
width: x = 4
Step-by-step explanation:
The perimeter is twice the sum of length and width:
P = 2(L+W)
18 = 2(y +x) . . . . . using the given values
The difference in dimensions can be expressed as ...
y -x = 1
When the above two equations are graphed, we see the solution is ...
(x, y) = (4, 5)
17 = − 13 − 8 x
Show your steps Please :3
Answers
Answer:
x = 3.75 or [tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
17 = -13 - 8x
add 13 to both sides
17 + 13 = -13 + 13 + 8x
30 = 8x
divide both sides by 8
30/8 = 8x /8
3.75 = x
Tammy took a five-hour flight to Denver, Colorado. She traveled
1,940 miles in all. If she traveled the same number of miles each hour, how many
miles did she travel in once hour?
Answers
Answer:
388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
388
Step-by-step explanation:
Ted's Bikes rents bikes for $15 plus $3 per
hour. Carlos paid $30 to rent a bike. For
how many hours did he rent the bike?
Answers
Answer:
Let he rent bike for x hours
then
15 + 3*x = 30
3x= 15
x= 15/3 = 5 hours
Step-by-step explanation:
The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F.
In City 2, the range in temperature is 15°F and the IQR is 7°F.
What might you conclude about the cities based on the ranges and interquartile ranges?
Answers
B.The weather pattern in City 2 is more consistent than the weather pattern in City 1
explanation:
Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.
Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.
Since, the range and IQR is less for City 2 as compared to City 1.
Thus ,weather pattern of City 2 is more consistent as compared to City 1.
Answer: b
Step-by-step explanation: I did it on my paper and it kind of took a long time
Write the standard number for 800,000 + 4,000 + 600 + 40 + 2.
____________________________________________________________
I know nothing about this problem.
Answers
Answer:
804,642
Step-by-step explanation:
800,000 + 4,000 + 600 + 40 + 2.
Add the terms
804,642