Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointThe most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points
Before we calculate, let's label the values of the points.
[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2-6}{1-3}[/tex]
Subtract
m=[tex]\frac{-8}{-2}[/tex]
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
See more here: https://brainly.com/question/27618860
Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER
Answer:
Your answer is in the picture.
Step-by-step explanation:
Visit the website if you want to factor polynomial.
Please help me find the answer to:
12x^5 ÷ 3x^2
Find the slope of the given line. Please see attached photo. Thank you
Answer:
-2
Step-by-step explanation:
Find two points which lie on the line :
Take (-2, -1) and (-1, -3)Formula for slope (m) :
m = y₂ - y₁ / x₂ - x₁m = -3 + 1 / -1 + 2m = -2/1m = -2Answer: [tex]-2[/tex]
Step-by-step explanation:
[tex]Slope:m=0[/tex]
[tex]y=mx+b[/tex]
[tex]-2*10^0[/tex]
[tex]-2~is~a~rational~number[/tex]
[tex]\frac{180}{pi}[/tex]°
A personal trainer determines that an individual will get the most benefit from a workout if they keep their heart rate at an average of 150 beats per minute during workouts. To determine if the individual is doing so successfully, a random sample of 30 workouts is selected from their fitness watch. A 95% confidence interval for these workouts reveals that the true mean heart rate while working out is between 158 and 167 beats per minute. Based upon this interval, what conclusion should be made about the hypotheses: H Subscript 0 Baseline: mu = 150 versus H Subscript alpha Baseline: mu not-equals150 where μ = this individual’s true mean heart rate during working out at α = 0.05?
Reject H0. There is convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Fail to reject H0. There is not convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Fail to reject H0. There is not convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 150, that is:
[tex]H_0: \mu = 150[/tex]
At the alternative hypotheses, it is tested if the mean is different of 150, hence:
[tex]H_0: \mu \neq 150[/tex].
The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
More can be learned about confidence intervals at https://brainly.com/question/25890103
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Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answer:
B
a circle with a diameter of 19.3 inches
please help will mark Brainliest!!
Answer:
The answer is (-2,0)
Step-by-step explanation:
The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)
3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the equation of the line passing through (4, 5) and parallel to
3x-2y=4.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).
[tex]\rightarrow[/tex] First, add 2y on both sides:-
[tex]\Large\textsf{3x+2y=4}[/tex]
[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-
[tex]\Large\textsf{2y=-3x+4}[/tex]
[tex]\rightarrow[/tex] Divide by 2 on both sides
[tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]
[tex]\rule{300}{3}[/tex]
Now, let's find the equation of the line that's parallel to the given line.
Remember, if lines are parallel to each other, then their slope's the same.
So the slope of the line that's parallel to the line whose equation we just found, is
[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]
Now let's write the equation in point-slope form:-
[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]
Replace numbers with letters, as follows:-
[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]
The equation above is the equation in point-slope form.
Incase you need it converted to slope intercept form, refer to the steps below ~
Multiply -3/2 times x and -4:-
[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]
Now, Add 5 on both sides:-
[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]
[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2
Answer:
[tex]\frac{-2}{x^{2} } -2[/tex]
Step-by-step explanation:
[tex]x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2[/tex]
= [tex]\frac{-2}{x^{2} } -2[/tex]
Answer: see photo#2
Step-by-step explanation:
Pa help naman po sa math Salamat po
Answer: See the table below
========================================================
Explanation:
The first task is to sort the values from largest to smallest.
Doing so gets us this list
57, 51, 48, 46, 45, 44, 43, 41, 40, 39, 39, 38, 37, 36, 36, 35, 35, 34, 33, 32, 31, 29, 29, 28, 24, 21, 19, 18, 13, 8
Next, we look for values that are between 56 and 60. That would be the single value of 57. This means we have 1 tally mark for the first row and the frequency is 1.
After that, we look for values between 51 and 55. That would be the single value of 51. Like the previous row, we'll have a single tally and a frequency of 1.
The 46-50 group will have the values 48 and 46 in it, so we have two tally marks and a frequency of 2 for this row.
This process is continued until all the values are accounted for. Effectively you are sorting the values into the proper bins.
You should end up with the table below. The fourth column is optional. It helps show where all of the values are sorted (to help confirm we have the correct tallies and frequencies).
Simplify, y-8(y+12) + 4
NEED HELP
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{y - 8(y + 12) + 4}[/tex]
[tex]\huge\textbf{Solving:}[/tex]
[tex]\mathbf{y - 8(y + 12) + 4}[/tex]
[tex]\huge\textbf{DISTRIBUTE -8 WITHIN the}\\\\\\\huge\textbf{PARENTHESES:}[/tex]
[tex]\mathbf{= y - 8(y) - 8(12) + 4}[/tex]
[tex]\mathbf{= y - 8y - 96 + 4}[/tex]
[tex]\huge\textbf{COMBINE the LIKE TERMS:}[/tex]
[tex]\mathbf{= (y - 8y) + (-96 + 4)}[/tex]
[tex]\mathbf{= y - 8y - 96 + 4}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{ = -7y - 92}[/tex]
[tex]\huge\textbf{Answer:}[/tex]
[tex]\huge\boxed{\mathbf{ -7y - 92}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
how is 0.5600 written on scientific notation
Answer:
5.6 x 10^-1
Step-by-step explanation:
give brainliest, please!
hope this helps :)
A bag of dozen oranges was selling for $3. The manager of the store decided to add some oranges to the bag, but not to change the $3 sticker price on the bag. Now the price of the oranges was actually $2 a dozen. How many oranges were added to the bag
Answer:
A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.
Step-by-step explanation:
What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?
Answer:
1440 cubic inches
V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]
V = 12 × 10 × 12 = 1,440 cubic inches
make x the subject: y=x+p/x-p
step-by-step explanation please
Answer:
x = p + yp / y - 1
Step-by-step explanation:
y = x+p / x-p
y(x-p) = x + p
y(x-p) -x = p
yx - yp - x = p
yx - x = p + yp
x(y - 1) = p + yp
x = p + yp / y - 1
Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?
PLS HELP THIS IS MY LAST QUESTION I NEED THIS DONE ASAP PLS DONT DELETE MY QUESTION
Answer:
10 points
Step-by-step explanation:
you just need to subtract the score in game 6 from the score in game 5
Answer:
10
Step-by-step explanation:
Look in the graph.
In game 6, use the last bar to the right in dark blue. The Tigers scored 35 points.
In game 5, use the purple bar. the Tigers scored 25 points.
To find the difference, we subtract.
35 - 25 = 10
Answer: 10
PLEASE HELP 20 POINTS!!
Answer:
D) x² - y = 10x + 25 + y
Step-by-step explanation:
A relation only becomes a function if each x-value only has a single y-value as the answer.
Evaluating
A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-valuea pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
PLS RESPOND I WILL GIVE BRAINLIEST
Answer & step-by-step explanation:
See the image attached below:
in need of help! please help!
Answer:
3 1/4 if im not mistaken ive done the math so im pretty sure im right :)
Step-by-step explanation:
heres what i did:
i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing
Which equation is true when r = 7 ?
Answer:
7 = 49 ÷ r
Step-by-step explanation:
To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...
Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:
7 = 49 ÷ r
To prove this, input r = 7 into each of the equations:
6 = 30 ÷ r
⇒ 6 = 30 ÷ 7
⇒ 6 ≠ 4.285... ← incorrect!
7 = 54 ÷ r
⇒ 7 = 54 ÷ 7
⇒ 7 ≠ 7.714... ← incorrect!
7 = 49 ÷ r
⇒ 7 = 49 ÷ 7
⇒ 7 = 7 ← correct!
9 = 72 ÷ r
⇒ 9 = 72 ÷ 7
⇒ 9 ≠ 10.285... ← incorrect!
How many square centimeters are in an area of 3.30in
Answer:
8.382 cm
Step-by-step explanation:
1in = 2.54 cm
3.30 x 2.54 = 8.382 cm
Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….
A)
Add 16 to 32.
B)
Add 32 to 52.
C)
Multiply 52 by 5.
D)
Multiply 52 by 9.
Answer:
B
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
20 - 4 = 36 - 20 = 52 - 36 = 16
thus to obtain the next term in the sequence add 16 to the previous term
To obtain 2 terms distant then add 16 + 16 = 32
so 6th term = 52 + 32 = 84
the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.
Answer:
3/9 (or) 1/3 (reduced)
Step-by-step explanation:
1. Before handing pencils to the students, the teacher had 9 out of 9 (9/9) pencils.
2. When she gave pencils to the students, she gave them 6 of the 9 pencils (6/9)
3. Now we do the math:
9/9 - 6/9
= 3/9 (or) 1/3 (reduced)
Therefore, the teacher now has 3/9 or 1/3 of the pencils left.
For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50
successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.
(a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)
(b)Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)
(c)Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
16+ y =24
What is the value of y?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
16+y=24, What is y?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.
Since we have numbers on both sides, we need to move all of them to one side:-
[tex]\tt{16+y=24}[/tex]
[tex]\tt{y=24-16}[/tex]
[tex]\tt{y=8}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
HELP PLEASE I NEED HELP .”!
Answer:
4 × 10^-1
Step-by-step explanation:
ask if you need further explanation
On the class field trip there will be 150 students
and 10 chaperones What is the unit rate of students
per chaperone?
Answer:
The answer is 1:15
That means for every 1 chaperone, there is 15 students
PLEASE HELP!!!!!! IMA DESPRATE!!!!!!Determine whether f(x) = 2x3 − 6 is linear. If so, give the slope and y-intercept.
The slope of the cubic polynomial and it's y-intercept are respectively; f(1) = -4 and f(0) = -6
What is the slope of the equation?
We are given the equation;
f(x) = 2x³ - 6
Now, because the highest power of x is 3, it means that this is a cubic polynomial and not linear because it has a degree of 3
Thus, let us differentiate to get the slope;
f'(x) = 6x² - 6
At f'(x) = 0; x = 1
Thus, slope is;
f(1) = 2(1)³ - 6
f(1) = -4
y-intercept is f(x) at x = 0. Thus;
f(0) = 2(0³) - 6
f(0) = -6
Read more about slope of equation at; https://brainly.com/question/1884491
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The local grocer is charging $17.50 for five pounds of hamburger. Determine total cost of hamburger based on the weight of the hamburger purchased.
Answer:
3.5
Step-by-step explanation:
17.50 divided by 5 is 3.5 so 1 pound is 3.5
Please help me solve this equation that has surface area in a cylinder question
Answer:
Where's the picture?
Step-by-step explanation:
Please provide a picture