Answer:
[tex]y=\frac{7}{2} x -8[/tex]
Step-by-step explanation:
We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
First, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:
[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{0-4}[/tex]
Subtract
m=[tex]\frac{-14}{-4}[/tex]
Divide
m=[tex]\frac{7}{2}[/tex]
The slope is 7/2
Here is the equation of the line so far:
[tex]y=\frac{7}{2}x + b[/tex]
We now need to find b
As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.
Taking (4,6) for instance:
[tex]6=\frac{7}{2}(4) + b[/tex]
Multiply
[tex]6=14 + b[/tex]
Subtract
-8 = b
The equation therefore is:
[tex]y=\frac{7}{2} x -8[/tex]
Topic: slope-intercept form
See more: https://brainly.com/question/27726094
What is the area of a square that has a side of 4 units
Answer:16
Step-by-step explanation: So we know that a square has 4 equal sides, and if one of the sides is 4, then that means all sides were 4. Are is side * side. so the area is 4*4 wich is 16!
Answer:
16
Step-by-step explanation:
Square formula: side²
So 4²=16
Math breh™
--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answer:
x=6
y=9 so it is the answer....
Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...
Answer:
C or B
Step-by-step explanation:
because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C
-8(6+X) + 4(2x + 7) = 0
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range
Answer:
1. Median refers to the central value of a collection of data
Therefore it is 73.4
2. Mode refers to the frequency of a value in a collection of data
It will be 49 as it is repeated 2 times
3. Range refers to The greatest number subtracted from the smallest number
Which will be 90-49=41
Hope this helps dude!
Please mark me as brainliest
Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at https://brainly.com/question/24166849
Lashonda exercises at least 50 minutes per day. Use t to represent Lashonda's amount of exercise (in minutes per day).
The question is an illustration of inequalities.
The inequality that represents Lashonda's amount of exercise is: [tex]\mathbf{t \ge 50}[/tex]
The given parameter is:
[tex]\mathbf{Minutes = At\ least\ 50}[/tex]
In inequality, at least means greater than or equal to.
So, the above equation becomes:
[tex]\mathbf{Minutes \ge 50}[/tex]
From the question, we understand that the number of minutes should be represented with t.
So, we have:
[tex]\mathbf{t \ge 50}[/tex]
Hence, the inequality is: [tex]\mathbf{t \ge 50}[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133
What quadrant will (-8,6) Lie on?
Answer:
Quadrant ||
Step-by-step explanation:
Look at the png below it may help you.
Write an addition equation or a subtraction equation to describe the diagram
Answer:
x=-2+9
Step-by-step explanation:
The first line is negative 2 and the second line is positive nine.
Product of 3 x 2/3 is 3 true or false
Answer:
falseeeee
Step-by-step explanation:
im smart lol ight so so
3/1 · 2/3
3 times 2=6
6/3=2 not 3 my dude
Aubrey is studying for her math test. She knows she will need to round decimals to the tenths place on her test, but she forgets how to do it. Using the number 125.671 as an example, remind Aubrey the steps to rounding decimals to the nearest tenth.
Aubrey the steps to rounding decimals to the nearest tenth.
Answer:
125.7'
Step-by-step explanation:
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
Which of the following graphs represents the equation −2 + = 10?
C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answer:
$70
Step-by-step explanation:
35+35=70
If 30% of x =60. then c=
Answer:
I think answer is c 1800.
PLEASE HELP! Award brainliest and thanks ASAP
Answer:
y=-2/5x-1
Step-by-step explanation:
I started by looking for the y-intercept of the line, where the line intersects with the y-axis and saw it was -1.
Then I looked at the slope of the line and used the rise/run strategy. From the y-intercept to the point it was 2 units down and 5 units across (2/5) and since it is going down it's negative
Plugging it in: y=mx+b
m=slope
b=y-intercept
y=-2/5x-1
Hope this helps :)
Hi I need an answer thank you
Ey pls help me anyone pls
Answer:
we cant read the whole question so I cant help you.
Step-by-step explanation:
Answer:
I will do 1-4 and explain because I dont have the time to do all of this.
1=130 2=130 3=134? 4=63 Just add up the numbers and subtract them from either 90 180 or 360, how to know which number to add up to is easy, just see if the sum of the numbers added makes a number above one of those numbers, for example if you find one that the sum is larger then 90 but smaller then 180 then subtract the sum from 180.
Step-by-step explanation:
The area of a rectangle is 56 cm^2. The side is 7 and its length is 3t-4. Find t.
Step-by-step explanation:
Area of a rectangle= length × width/breadth
7 × 3t-4 = 56 cm^2
3t-4 = 56÷7
3t-4 = 8
3t = 8+4
3t= 12
t = 12/3
t = 4
hope this helps
At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piecewise equation, where x represents the number of hours . f(x)={9x, x≤212x, x>2 How much would it cost to park at the train station for 8 hours? Enter your answer in the box.
Answer:
96
Step-by-step explanation:
Match the proper noun to the common noun.
1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X
2. Change the following into indirect speech.
a. Anupam says, "Where do you live?”
Answer:
Anupam ask me where l live
hope it's help you (^0^)
The table shows the prices for games in Bella's soccer league. Her parents and grandmother attended a soccer game. How much did they spend if they all went together in one car?
Evaluate the function for
f(x) = x + 3 and g(x) = x2 − 2.
(f − g)(8t)=
Answer:
f(0)=0
Step-by-step explanation:
If you worked 50 weeks per year for 50 hours per week for $13/hr, how much money would you earn per year?
Answer:
32500 per year
Step-by-step explanation:
multiply 50 weeks to 50 hours to get how many hours does 50 week have then multiply the outcome result of the two to the $13 to get the money he/she would earn in a year.
¿Cuántas combinaciones se pueden
hacer con una letra del abecedario
(tiene 27 letras diferentes) y los números
8 y 14?
Queremos ver cuantas combinaciones diferentes se pueden hacer con una letra del abecedario y los números 8 y 14.
La respuesta es:
Hay 162 combinaciones diferentes.
Primero dejemos la letra fija, asumamos que queremos ver las combinaciones entre la letra A, el número 8, y el número 14.
Tenemos 3 elementos, entonces el número de combinaciones será solo 3 factorial, o:
combinaciones = 3! = 3*2*1 = 6
Hay 6 combinaciones diferentes de esos 3 elementos.
Ahora recordamos que ademas de A hay 26 opciones más, entonces la letra tiene un total de 27 permutaciones posibles. Es decir, el número total de combinaciones va a ser 27 veces lo que obtuvimos arriba:
Total de combinaciones = 6*27 = 162
Hay 162 combinaciones diferentes.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/21591279
The perimeter of the rectangle below is 64
Find the value of x
Alexa is preheating her oven before using it to bake. The initial temperature of the
oven is 75° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 8 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: i needed pointsss srry
Step-by-step explanation:
