What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
the GCF of 30m^4 and 36m^6 is 6m^?
the missing exponent is ____
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Answer:
4
Step-by-step explanation:
The exponents of m in the two terms are 4 and 6. The exponent of the common factor can be no greater than the smallest of these. (It is the smallest of these.)
GCF(30m^4, 36m^6) = 6m^4 . . . . exponent is 4
The Leibnitz notation for the chain rule is
(1 point) Suppose y = sin(x2 - 4x). We can write y = sin(u), where u =
dy dy du
dy
du
The factors are
(written as a function of u ) and
dx du dx
du
dx
x for u to get
Now substitue in the function of
=
dy
dx
(written as a function of x ).
For this derivative, you could set
[tex]\boxed{u = x^2 - 4x}[/tex]
Then
[tex]y = \sin(x^2-4x) = \sin(u)[/tex]
so that
[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]
and
[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]
Then the chain rule gives
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]
Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution
Need answer ASAP
Answer:
no yes of couse its yes but no so yes 1727x+293
Step-by-step explanation:
A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?
12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.
if f(x)=4x-2/3 what would f(a+3) be
Answer:
it will look like this 4(a+3)-2/3
Step-by-step explanation:
look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve
Answer:
Step-by-step explanation:
Id..k how to help u sorry
If y varies directly as x and as the square of z, and y =25/9 when x=5 and z=1, find y when x =1 and z=4
Answer:
y= 80/9
Step-by-step explanation:
Given
" y varies directly as x" and "as the square of z" so y = x* z²* some number
if y =25/9 when x= 5, z= 1 and y = x*z²* some number
then 25/9 = 5 * 1² * some number
5*(5/9) = 5 * some number
therefore y = x* z²* (5/9)
y= ? when x=1 , z= 4
y = x * z² * (5/9)
y = 1 * 4² * (5/9)
y = 16*5 / 9
y = 80/9
12) Armani gets paid $9 an hour to paint. If he works for
5 12 hours, how much money will he make?
Answer:
multiply 9*512= 4,608
Step-by-step explanation:
Pls help. Abcdefjnshshsjnwishejjsjwhaunrshwjhd
Jauahshwj
x = 72
Step-by-step explanation:
x + (2x - 36) = 180
3x - 36 = 180
3x = 180 + 36
3x = 216
x = 216/3
x = 72
A certain medication is available only in 400 μg tablets. If the patient needs to take 2.4 mg per day, how many tablets must she take? Help me please. SIMPLIFY YOUR ANSWER. Expert only.
Answer: 6 tablets.
Step-by-step explanation:-Given:
• A certain medication is available only in 400 μg tablets.
So, in milligrams :- 0.4 mg
• It is also given that the patient needs to take 2.4 mg per day.
Solution:
So, in order to know how many tablets she should take, please do as following:-
[tex] \frac{2.4}{0.4} [/tex]
[tex] = > \: 6[/tex]
Hence, she must take 6 tablets per day.
✍️ By Benjemin ☺️
Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies
Answer:bbbbb
Step-by-step explanation:
sssđs
Given : 13 apples for every 2 pies
We know that : 12 = 2 × 6
Therefore, the number of apples will be 13 × 6 = 78
So, the answer is 78
Base BC of an equilateral triangle ABC is root2 x+y+2=0. If vertex A is the origin, then the area of triangle ABC is (in sq. units) A) 3 root3 B) 2/3 root3 C) 4/3 root3 D) 6 root3
Answer: Choice C
4/(3*sqrt(3))
which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]
==============================================================
Explanation:
We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.
Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.
Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.
So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.
If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.
Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).
---------------------------
The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.
To find the location of point D, you need to solve this system of equations
[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]
Let's isolate x in the second equation
[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]
Then substitute that into the other equation. Solve for y.
[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]
Now we can find x like so
[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]
The point D is located at the exact coordinates of
[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]
---------------------------
Next, we use the distance formula to compute the distance between point A and point D.
I'll use lowercase d to represent distance.
[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]
This represents the exact length of segment AD.
---------------------------
Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so
[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]
where x represents the lengths of AB, BC and AC.
After skipping a bit of steps, solving that said equation should lead to these two solutions
[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]
Because x is a side length, we ignore the negative solution.
---------------------------
We can now compute the area of triangle ABC
[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]
which points us to choice C as the final answer.
When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.
Round 0.0625 to the nearest hundredth
Please help me!!
The formula to find the kinetic energy of an object measured in joules,E, is E=1/2mv2, where m represents the mass of the object in kilograms and v represents the velocity (or speed) of the object in meters per second. What is the equation to find m in terms of E and v ?
Thank you very much!!
Answer:
E=1/2mv2, v/10./17
Step-by-step explanation:
i need brainlest <3Evaluate the expression. −2(12−2(−4))2 What is the value of the expression? Enter your answer in the box.
Answer:
160
Step-by-step explanation:
the answer is -800 ______________________
Question: The cost of 50 pounds of beans is how much?
Answer:
Datas are not given...............
Answer:
there is no data? pls give data
Answer if you want, 10 points
Can you give me some example of ratios and the steps of them, include answer, and a easy strategy please
Answer:
hi
Step-by-step explanation:
for example
[tex] \frac{8}{4} = 2 \\ \\ 1 \times \frac{4}{5} = \frac{9}{5} [/tex]
in the second one you should multiple 5 and 1 then add 4
After 12 years I shall be three times as old as I was 34years ago. Determine my present age
Answer:
the 34 yrs Is wrong it will be 4yrs only.
Step-by-step explanation:
Let my present age=x years
After 12 years my age=x+12 years
4 years ago my age =x−4 years
According to the question,
x+12=3(x−4)
⇒x+12=3x−12
⇒3x−x=12+12
⇒2x=24
or x= 24/2 =12 years.
∴ my present age is 12 years.
hope this helps you.
A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Answer:
I believe it is D
Step-by-step explanation:
If I am correct please mark Brainlyiest
The table that shows these data correctly entered in a two-way frequency table is:
In Band Not in Band Total
Play 15 10 25
Do Not Play 5 20 25
Total 20 30 50
What is a two-way frequency table?A two-way frequency table is a way of organizing and displaying data that shows the frequency of occurrences of two categorical variables.
In such a table, the rows represent one variable, the columns represent the other variable, and the cells show the number (or frequency) of times that each combination of categories occurs.
We have,
A two-way frequency table shows how many times each combination of two categorical variables occurs.
In the table, the rows represent the "play an instrument" variable, the columns represent the "are in band" variable, and the totals are shown at the end of each row and column.
The entries in the table represent the frequency, or the number of students who belong to each combination of categories.
In this case, the two variables are "play an instrument" and "are in band". Based on the given information, we can create the following table:
Thus,
The table that shows these data correctly entered in a two-way frequency table is:
In Band Not in Band Total
Play 15 10 25
Do Not Play 5 20 25
Total 20 30 50
Learn more about two-way frequency here:
https://brainly.com/question/31189964
#SPJ7
22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3
Answer:
None of the option is correct.
The right answer is 18/7 or 2.57
Step-by-step explanation:
Find the degree of the monomial -1.57k^2
Answer:
2
Step-by-step explanation:
Degree of the monomial is the highest power in the monomial.
Highest power in the monomial - 1.57k^2 is 2.
So, the degree of the monomial - 1.57k^2 is 2.
The ABC manufacturing firm, the average withdrawal rate for product A is 20
cartons per day, safety stock is 5 days, order lead time is 10 days, and the
order quantity is 45 days.
Requirement: What are the maximum and average quantities of unit loads to be
stored? (Please help me solve this exercise in detail about the requirements of the question)
???????????????????????
Step-by-step explanation:
???????
Answer:
Answer:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Explanation:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Step-by-step explanation:
mark me as the brainliest
Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not
The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.
The population mean gives the value of the mean using all the data in the population, it is often referred to as the true mean. In cases where the entire population data is not available or incomplete, the true mean can be estimated using the sample mean within a given range called the confidence interval of the mean.Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.
Learn more :https://brainly.com/question/2396419
what does x equal using distributive property 1/3(x+6)=1/2(x-3)
Answer
x=21
Step-by-step explanation:
1/3+2=1/2x-1.5
2/6x+2=3/6x-1.5
-2/6+1.5 =-2/6x+1.5
3.5=1/6x
----- = -----
1/6 1/6
21
Answer:
The person in the comments was correct it is x=21
Step-by-step explanation:
hope this helps you if not please let me know
Which of the following is the graph of y=√-x-3 EndRoot?
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Answer:
3
Step-by-step explanation:
The square root function (√) only gives positive values, so graphs 1 and 4 make no sense.
When x = -3, the y-value is 0, consistent with graph 3.
which expression is equivalent to -8m-8+3m-6?
-11m-2 -5m-2
-5m-14 or -16m-3
I need help!!!!
I will give brainliest
How many electrons in an atom can share the quantum numbers n = 2, l = 1, ml = −1?
1
2
3
6
It's not B
Answer:
Answer is: two electrons.
n - principal quantum number, indicating relative overall energy of each orbital, n=1,2,3,...
l - angular momentum quantum number, shape of the orbital, l = 0,1,...,n−1.
l =1 for the p orbitals.
ml - magnetic quantum number, ml = 0,±1,...,±l.
This is 2px orbital, in every orbital there is two electrons with different spin.
Step-by-step explanation:
Mark Brainliest Please
Hello, i'm looking for someone to help me with my missing math hw?
Answer:
Hello! I can help you with it :)
Well, I do not know where you live, so I do not know what nooks and crannies your hm could be hiding.
Calculus, second derivative. Please help! Show work, if possible please. Thanks! :)
Answer:
y''=sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
Step-by-step explanation:
we are given y= csc x sec x
We use the rule for multiplying derivatives and the knowledge that the derivative of csc is -csc*cot and the derivative of sec is sec*tan to get
csc(x)*sec(x)*tan(x)+sec(x)*-csc(x)*cot(x)
which simplifies to
csc(x)*sec(x)*tan(x)-sec(x)*csc(x)*cot(x)
Using the same rules again (in tedium so they are not listed but can be inferred) we find the second derivative is
sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)
What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
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Answer:
0.9114
Step-by-step explanation:
That multiplier would be ...
(1 -2%)×(1 -7%)
= (1 -0.02)(1 -0.07)
= 0.98×0.93 = 0.9114
