Write the equation of the line in fully simplified slope-intercept form.
Answer:
you can write the equation of any line in the form of y = mx + b .
Step-by-step explanation:
Answer:
[tex]y = - \frac{1}{6} x + 2[/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
Let's first identify the coordinates of two points on the graph:
(-6, 3) and (6, 1)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{3 - 1}{ - 6 - 6} [/tex]
[tex] = \frac{2}{ - 12} [/tex]
[tex] = - \frac{1}{6} [/tex]
Substitute the value of the slope into m in the equation:
[tex]y = - \frac{1}{6} x + c[/tex]
To find the value of c, substitute a pair of coordinates into the equation.
When x= 6, y= 1,
[tex]1 = - \frac{1}{ 6} (6) + c[/tex]
1= -1 +c
c= 1 +1
c= 2
Thus, the equation of the line is y= -⅙x +2.
The y-intercept can also be derived from the graph as we can see that the line passes through the y- axis at (0, 2). This point can also be used to find the slope of the line too.
What is the area of the sector shown in the diagram below?
Give the rate in miles per hour. Round to the nearest tenth.
Caroline walks 912 inches per second.
Answer:
51.8mph
Side note: Caroline isn't human. Walking almost 52 miles per hour is humanly impossible
Hope I helped! ☺
How can one culture affect the music of the country?
if you are at P and you walk 15/25 km towards north and then from there you walk 3/15 km towards North. How far will be now from Point P..
Answer:
you just need to multiply 15/25 and 3/15
A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.6 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 4342 MB. How many downloads of the standard version were there?
Answer:
260 Downloads
Step-by-step explanation:
s = number of standard downloads
3s = number of high-quality downloads
2.9s + 4.6(3s) = 4342
2.9s + 13.8s = 4342
16.7s = 4342
s = 260
The standard version was downloaded 260 times and the high-quality version was downloaded 780 times.
Cos^2x+(tan^2x)(cos^2x)
Hope you could understand.
If you have any query, feel free to ask.
In 8 minutes, Mai can type 48 words.
What is her rate in words per minute?
Answer:6
Step-by-step explanation:48 DividEd bg 8 is 6
A store sells two sizes of bottled water. Size A is 32 fluid ounces (f1 oz) for $2.56 and Size X is $4.80 for
48 fluid ounces. Which is the better buy? Justify your answer.
#size A
32fluid ounces=$2.561 fluid ounce:-
[tex]\\ \sf\longmapsto \dfrac{2.56}{32}=0.08[/tex]
#Size X
48 fluid ounces=4.80$1 fluid ounce
[tex]\\ \sf\longmapsto \dfrac{4.80}{48}=0.1[/tex]
We can see
0.08<0.1
So Size X is better to buyA rectangular table is measured to be 264 centimetres long and 1.55 metres wide.Convert the length of the rectangular table to metres. Write your answer as a decimal.
Answer:
2.64m
Step-by-step explanation:
A rectangular table is measured to be 264 centimetres long and 1.55 metres wide.Convert the length of the rectangular table to metres. Write your answer as a decimal.
100cm = 1m
so
264cm = 2.64m
Andrew walked 10 miles in 6 hours. What was his walking rate in hours per mile?
Answer:
I think it's 1.7 hours
Step-by-step explanation:
What type of angle is 45 degrees???
Answer:
Acute angle
Step-by-step explanation:
45°= Acute Angle
‘Cause It's less than 90°
Answer:
Step-by-step explanation:
It's an acute angle. Acute, in this case, means anything between 0 and 90 written 0<x<90. Notice that you are using < and not ≤. The endpoints are not included. They have their own names. 90 is a right angle. 0 is called a zero degree angle.
If y varies directly with x and y=12 when x=3, find y when x=1.
Answer:
y = 4
Step-by-step explanation:
y ∝ x
y = kx (k is constant)
when y = 12 and x = 3
y = kx
=> 12 = k*3
∴ k = 4
when x = 1 and k = 4
y = kx
= 4*1
= 4
Thereisalinethatincludesthepoint(0, 19)andhasaslopeof 10/9 . What isitsequationin slope-intercept form?
Answer: y=(10/9)x+19
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope, m:
y=(10/9)x+b
To find b, enter the given point (0,19) and solve for b:
y=(10/9)x+b
19=(10/9)*(0)+b
b = 19
So we have y=(10/9)x+19
How do I factor an equation in the Ax^2+Bx+C form, if A= 2, B= 15, and C= -27. I tried using the x method but I don't think it's the right way.
Answer:
(2x - 3)(x + 9)
Step-by-step explanation:
A = 2
B = 15
C = -27
when we plug these numbers into the equation (Ax^2 + Bx + C) we get
2x^2 + 15x - 27
using the "X" method we have to multiply the A term and C term together
so -27 x 2 = -54
so we have to find factors of -54 that also add to the middle term, 15
- 3 and 18 add to 15 but also multiply to -54 so we can add these numbers into the X (refer to drawing)
Figure R was rotated about the origin (0,0) by 270° clockwise.
6.
4
R
2
-6 -4
2 4 6
-44
-6
Which figure is the image of R?
Choose 1 answer:
Certain drug is used to treat asthma in a clinical trial of the drug 24 of 282 treated subject experienced headaches based on the data from the manufacturer the accompany calculator display results from a test of the claim that less than 11%
Answer:
See below
Step-by-step explanation:
The test is one-tailed (left-tailed in this case) because you are trying to prove that the true proportion is less than the proposed proportion of 11%
The test statistic, z, is given to us as z=-1.34 when rounded to 2 decimal places.
The p-value, p, is given to us as p=0.0908 when rounded to 4 decimal places.
The null hypothesis is [tex]H_o:p<0.11[/tex] because the original claim was that the proportion was less than 11%.
Hope this helped! It's been a while since I've done Statistics, but I believe this is all correct.
Grandma brought two dozen cookies to Thanksgiving dinner. All but 3 were eaten that night. How many cookies were eaten
Answer:
21
Step-by-step explanation:
2 dozen=24
24-3=21
CAN SOMEONE HELP ME PLEASE ASAP!
I need help plzz
I need someone to explain if these are congruent or not
The table above gives population and employment numbers for a hypothetical country. What is the unemployment rate in this country? Round your answer to the nearest whole percent if necessary
WHAT IS THE ANSWER HELP lol
Answer:B. 17%
A.83%
B.17%
C.20%
D.10%
The unemployment rate in this hypothetical country is equal to 17%.
How to calculate unmployment rate.First of all, we would determine the percentage of people that are employed and then subtract this percentage from the total percentage of 100%.
The table below gives the complete information about the population and employment numbers for a hypothetical country:
Total population = 1,000Total population over 16 years of age = 800Total labor force = 600Total employment = 500Mathematically, employment rate can be calculated by using this formula:
[tex]Employment\;rate = \frac{Employed}{Labor\;force} \times 100\\\\Employment\;rate =\frac{500}{600} \times 100\\\\[/tex]
Employment rate = 83.3 ≈ 83%.
For the unemployment rate, we have:
Unemployment rate = 100 - 83
Unemployment rate = 17%.
Read more on unemployment here: https://brainly.com/question/734393
Three friends attended a game together.
The cost of one ticket was $50.
The cost of parking, p, was shared equally.
Write an expression to represent the dollar amount it cost each friend to attend the game?
Answer:
50+p/3
Step-by-step explanation:
Each friend has a 50 flat fee = 50
Parking is divided between 3 people so each person pays 1/3 of the parking fee
if p = price of parking 50 + p/3
Carlos tried to shade all the factors of 30 on the hundred chart. Hundred chart with 1, 2, 3, 5, 6, 10, 15, and 30 shaded. What mistake did Carlos make?
Answer:
30 is the wrong one because it is not a factor of 100
30 60 90 120
20 40 60 80 100
Step-by-step explanation:
Write an equation of a line in point slope form that is PARALLEL to the line y=32x−4 and contains the point (6,−1).
Answer:
[tex]y+1=32(x-6)[/tex]
Step-by-step explanation:
Solution is attached
Does 62 have 2 as a factor
Answer:
Yes it does the factors of 62 include 1, 2, 31, 62.
Step-by-step explanation:
Hope this helps you :)
Have an amazing day <3
please help me with this
Help ASAP thank you
Answer:
The expression is one line to the right of -5.
Step-by-step explanation:
Answer:
your answer is -2 1/3
Step-by-step explanation:
Your not smart how old are you btw but I don't know why you need help on first grade math!!!!!!!!!!!
But anyways here you go. and please leave a heart and give me a 5star rating
how to solve 2(10 -6x)=x -8x
Answer:
x=4
Step-by-step explanation:
2(10 -6x)=x -8x
Multiply 2*10 and 2*-6x
20-12x=x-8x
Add 12x
20=x-8x+2x
Combine x and -8x
20=-7x+12x
Combine -7x and 12x
20=5x
Divide 5x/5 and 20/5
4=x
So x=4
The solution to the equation is x = -4.
To solve the equation 2(10 - 6x) = x - 8x, you can follow these steps:
1. Distribute the 2 to the terms inside the parentheses:
20 - 12x = x - 8x
2. Simplify the expressions on each side by combining like terms:
20 - 12x = -7x
3. Move all the x terms to one side and the constant terms to the other side by adding or subtracting:
-12x + 7x = 20
Simplifying further, we have:
-5x = 20
4. Divide both sides of the equation by -5 to solve for x:
x = 20 / -5
x = -4
Therefore, the solution to the equation is x = -4.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
Gabriel went to the store and bought a sandwich, chips and a drink. The
sandwich was $5.95. The chips were $1.03 and the drink was $0.99. How
much money did he spend
Answer:
$7.97
Step-by-step explanation:
5.95 + 1.03 + 0.99
= 7.97
This is the answer without tax.
Which of the following can be added without altering any of the fractions?
Answer: The answer is A.
Step-by-step explanation:
A/C + B/C = A/B | +C
