Complete the slope-intercept form of the linear equation that represents the
relationship in the table.
Answers
Answer:
[tex]\mathsf{y=3x-4}[/tex]
Step-by-step explanation:
[tex]\mathsf{point \ slope \ form \ of \ linear \ equation: \ \ y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]
(where m is the slope and [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)
Given:
[tex]\mathsf{(x_1,y_1)=(1,-1)}[/tex][tex]\mathsf{(x_2,y_2)=(4,8)}[/tex][tex]\implies \mathsf{slope=\dfrac{8--1}{4-1}}=3}[/tex]
Substuting m = 3 and point (1, -1) into the point-slope form of a linear equation:
[tex]\implies \mathsf{y-(-1)=3(x-1)}[/tex]
[tex]\implies \mathsf{y=3x-4}[/tex]
Related Questions
Draw lines to separate the trapezoid into a rectangle and two identical triangles. What are their dimensions?
Answers
Answer:
Step-by-step explanation:
A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
Answers
Answer:
Given,
Dimensions of rectangular prism
Length= 10in
Breadth=2in
height= 3(1/2) or 7/2
Dimension of cube = 1/2in
Let the number of cubes be x
A.T.Q(According to question)
Vol. of rectangular prism= Vol. of Square× Number of cubes
l×b×h = a³
= > 10×2×7/2 = (1/2)³× x
x = 560
So the number of cubes required to fill the prism is. 560
If you spin the spinner 100 times how many times can you expect it to land in yellow?
Answers
Answer:
depends on how many other colours are there as well let's say there are N no. of colours then the probability is 100/N
How would you describe the amount of money earned over six weekends?
decreasing
can't be determined
staying the same
increasing
Answers
Answer:
Cant
Step-by-step explanation:
Maria's wages are $2400 plus 3.5% commission on monthly sales. A. Write a function expressing the relationship between Maria's wages, w , and her monthly sALes x
Answers
Answer: x(0.035)+w
Step-by-step explanation:
to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes
Can someone please help me with this
Answers
Answer:
56.57
Step-by-step explanation:
18 x 3.14 = 56.52
56.52^2 = 3194.5104
4 x 3.14 = 12.56
3194.5104/12.56 = 256.34
A = 256.34
You pay $900 rent per month your first year. Each year after your rent increases by
10%. After 10 years living in the apartment, what is the total amount of rent you will
have paid?
Answers
Answer:
$1,800
Step-by-step explanation:
($900)(0.1)(10) = $900
$900 + $900 = $1,800
Find the value of x?
Answers
Answer:
X = 20
Step-by-step explanation:
If the 100 is on the right side, and they are the same length, that means that you have to find 5 x what = 100. So 5 x 20 = 100
Have an amazing day. Please consider Brainliest! Have an amazing day or night!!
What is the expression in radical form ?
(4x3y2)3/10
Answers
Answer:
[tex]\frac{y^2x^3*12}{10}[/tex]
Step-by-step explanation:
An airplane descends 2.3 miles to an elevation of 7.05 miles. Find the elevation of the plane before its
descent.
Answers
Answer:
Hope it help
Step-by-step explanation:
.......................................
For the pair of similar triangles, find the value of x.
Answers
Find the scale between sides xz and gh
18/4 = 4.5
Multiply the length of fh by the scale to find x
6 x 4.5 = 27
x = 27
Susan did a puzzle in 5 minutes and 55 seconds. Jamal did the same puzzle in 11 minutes and 42 seconds. Susan says, ‘I did the puzzle in less than half the time Jamal did the puzzle. Is Susan right?
Answers
Answer:
No, Susan is not right.
Step-by-step explanation:
Susan's time = 5:55
Jamal's time = 11:42
Half of Jamals time = 5:51
5:55<5:51
Susan is not right
Jamal did the same puzzle in 11 minutes and
42 seconds.
Susan says, "I did the puzzle in less than half the
time Jamal
did the puzzle.
Is Susan right?
This is not true
Area of a triangle 11.7 m
11.7 m
19.2 m
12.3 m 2
Answers
Answer:
Step-by-step explanation:
Unit of area is m^2, so last choice
expression is equivalent to 6–3?
Answers
The following question has 2 parts. First, answer part A. Then, answer part B.
Use the image below to answer the questions.
A grid with 10 equal columns is shown with 5 shaded in. A second grid is shown, identical in size, containing 100 squares with 3 shaded in.
Part A
Write a problem that represents the addition model shown above. Don't solve the problem.
Part B
Emma incorrectly gave the sum as
8
100
. Explain what Emma did incorrectly and use the model to correct her work. Solve the problem in your answer.
Answers
The fraction that represents the addition model shown above will be 53/100.
How to solve the fraction?From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.
Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.
Therefore, the problem that represents the addition model shown above will be:
= 5/10 + 3/100
= 50/100 + 3/100
= 53/100
In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.
Learn more about fractions on:
https://brainly.com/question/78672
GIVING BRAINLIEST!!!!
Answers
Answer:
Zack is correct with the -4.5
Step-by-step explanation:
When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5
Hope this helped.
A brainliest is always appreciated.
Evaluate. f(x )=17−5x at x =a −3,
Answers
Answer:
x=17/5
i hope this helps
Average movie prices in the United States are, in general, lower than in other countries. It would cost
$79.45 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two
tickets in Japan would cost $76.10. How much does an average movie ticket cost in each of these
countries?
Answers
Simplify (8^2/3)^4.
I have to type this to post it
Answers
Answer:
256
Step-by-step explanation:
(a^n)^m = a^nm
=(8^⅔)⁴ =8^⅔×⁴
=2³×⅔×⁴ (8 = 2³)
=2^8 =256
Please mark my answer the brainliestAnswer:
Step-by-step explanation:
8 = 2*2*2 = 2³
[tex]\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}[/tex]
Look at the image below
Answers
Answer:
(A) 33.9 (B) 22.6
Step-by-step explanation:
We first need to round to the nearest dollar for both prices. Lets examine both numbers.
$30.12 $19.93
We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.
Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now
[tex]30*0.13=3.9[/tex] [tex]20*0.13=2.6[/tex]
Now we can find the final price for each number by adding the tax to the rounded price.
[tex]30+3.9=33.9[/tex] [tex]20+2.6=22.6[/tex]
Hence, (A) 33.9, (B) 22.6
30points! need help asap
Answers
Answer:
b
Step-by-step explanation:
What is the volume of the rectangular prism?
a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches.
PLEASE ASAP ROCKY PLEASE
Answers
Answer:
96 cubic inches
Step-by-step explanation:
8x3=24=area x4 = 96 = volume
Answer:
the answer should be 96 inches, hope this helps
Step-by-step explanation:
Can someone help me
Answers
Answer:
Q1/6.5
Q2/ 12.5
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.....
.
Step-by-step explanation:
per minute means ÷ mins (on the denominator)
Find the lengths of AC. Round your answer to the nearest whole number. C a 22.69 B 13 cm A
Answers
The triangle ABC is a right triangle
The length of AC is 12.00 cm
How to determine the length of ACFrom the figure, we have the following parameters:
Length AB = 13 cm
Angle A = 22.6 degrees
Represent the length AC with b.
So, we have the following cosine ratio
[tex]\cos(A) = \frac{b}{AB}[/tex]
Substitute known values
[tex]\cos(22.6) = \frac{b}{13}[/tex]
Make b the subject
[tex]b = 13 * \cos(22.6)[/tex]
Evaluate the product
[tex]b = 12.00[/tex]
Hence, the length of AC is 12.00 cm
Read more about right triangles at:
https://brainly.com/question/16249977
There are 8 red marbles and 9 blue marbles in a bag. What is the ratio of blue marbles to red marbles?
Answers
Answer:
8:9
Step-by-step explanation:
when it comes to ratios and it asks you what the ratio is and theirs no division, adding, multiplication, subtraction, or anything like then you just take the first number and the second number then put this : between the two numbers and that's it
James is making a presentation about how to pick the right kind of pet. Which image would BEST Support
A) a picture of common house pets
B) a picture of common pet supplies
a chart displaying the amount of care pets require
D) a chart displaying which pets are the most popular
Answers
Answer:
C. A chart displaying the amount of care pets require.
Step-by-step explanation:
(A). A picture of common house pets.
This wouldn't be effective since everyone knows what most common house pets look like.
(B). A picture of common pet supplies.
This wouldn't be effective since pet supplies vary with every animal.
(C). A chart displaying the amount of care pets require.
This would be the best choice since the image would show the required necessities for each different pet.
(D). A chart displaying which pets are the most popular.
This wouldn't be effective since popularity is mostly based on preference.
Which statement describes the graph of X = 4?
A) It is paralel to the x-axis.
B) It has a slope of 4.
C) It is parallel to the y-axis.
D) It passes through the point (0,4).
Answers
Answer:
the answer is D
Step-by-step explanation:
Because the point of x=4 is passed through the point (0,4).
I really need the answer. Thanks to who'll help me.
Answers
Answer:
125 and 0.292
Step-by-step explanation:
Think about it as a system of equations:
1)
[tex]a+b=125 +1/3\\a=125.33-b\\\\2) ab=36+1/2\\[/tex]
at this point you can insert the equation you got from 1.
[tex](125.33-b)b=36.5\\125.33b-b^2=36.5\\b^2-125.33b+36.5=0[/tex]
with this form, you can use the quadratic equation to find your two possible answers.
following the quadratic equation we find that our answers are 125 and 0.292
Please help me, the question is in the screenshot. GIVING 50 POINTS!! and brainliest<3
Answers
Solution:
Note that:
Volume of spherical asteroid = 4πr³/3Finding the volume:
Volume of spherical asteroid = V = 4πr³/3=> V = 4 x π x (8.5 x 10²)³/3=> V = 4 x π x (8.5 x 10²)(8.5 x 10²)(8.5 x 10²)/3=> V = 4 x 3.14 x 8.5 x 10² x 8.5 x 10² x 8.5 x 10²/3=> V = 7713.41 x 10⁶/3=> V ≈ 2571.14 x 10⁶Converting into scientific notation:
=> V ≈ 2571.14 x 10⁶=> V ≈ 2.57114 x 10⁹ ≈ 2.57 x 10⁹ (Option A)What is an equation of the line that passes through the point (-4, 5) and is perpendicular to the line 4x + y = 7?
Answers
Answer:
x -4y = -24
Step-by-step explanation:
Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.
4x +y = 7 . . . . given line
x -4y = constant . . . . equation with coefficients swapped, one negated
x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant
An equation for the desired line is ...
x -4y = -24
__
Additional comment
The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.
The slope of the standard form line ...
ax +by = c
is m = -a/b.
The slope of the perpendicular line is the opposite reciprocal of this:
m' = -1/m = b/a
You can see that this swaps the coefficients and negates one of them.