Please can someone write the answers and tell me how you get it in a notebook please
Answers
Given:
[tex]6x+3y=12[/tex]
[tex]2x-6y=18[/tex]
[tex]5x+2y=16[/tex]
[tex]6x-8y=-24[/tex]
To find:
The slope intercept form of each equation.
Solution:
We know that, slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
The first equation is
[tex]6x+3y=12[/tex]
Subtract 6x from both sides.
[tex]3y=12-6x[/tex]
Divide both sides by 3.
[tex]y=\dfrac{12-6x}{3}[/tex]
[tex]y=\dfrac{12}{3}-\dfrac{6x}{3}[/tex]
[tex]y=4-2x[/tex]
[tex]y=-2x+4[/tex]
Therefore, the slope intercept form of first equation is [tex]y=-2x+4[/tex].
Similarly,
[tex]2x-6y=18[/tex]
[tex]-6y=18-2x[/tex]
[tex]y=\dfrac{18-2x}{-6}[/tex]
[tex]y=-3+\dfrac{1}{3}x[/tex]
[tex]y=\dfrac{1}{3}x-3[/tex]
Therefore, the slope intercept form of second equation is [tex]y=\dfrac{1}{3}x-3[/tex].
[tex]5x+2y=16[/tex]
[tex]2y=16-5x[/tex]
[tex]y=\dfrac{16-5x}{2}[/tex]
[tex]y=8-\dfrac{5}{2}x[/tex]
[tex]y=-\dfrac{5}{2}x+8[/tex]
Therefore, the slope intercept form of third equation is [tex]y=-\dfrac{5}{2}x+8[/tex].
[tex]6x-8y=-24[/tex]
[tex]-8y=-24-6x[/tex]
[tex]y=\dfrac{-24-6x}{-8}[/tex]
[tex]y=\dfrac{-24}{-8}-\dfrac{6x}{-8}[/tex]
[tex]y=3+\dfrac{3}{4}x[/tex]
[tex]y=\dfrac{3}{4}x+3[/tex]
Therefore, the slope intercept form of fourth equation is [tex]y=\dfrac{3}{4}x+3[/tex].
Related Questions
i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68
Answers
Answer:
61 is the mean and the range is 19
Step-by-step explanation:
trust
Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given set of data.
What is Mean?
"Mean is the average set of all the given values."
What is Range?"Range is the difference between highest and the lowest value."
Formula
Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]
Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]
= [tex]\frac{601}{10}[/tex]
= [tex]60.1[/tex]
Range = Max (x) - Min (x)
= [tex]68 - 49[/tex]
= [tex]19[/tex]
Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.
Learn more about Mean and Range here
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The price of the same type of milk is shown. Which store has the the lowest unit price per ounce
Answers
Answer:
I would answer but there is no picture
Step-by-step explanation:
Answer:
It's not shown actually...
Step-by-step explanation:
Ummm...
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
What is the đistance, CD, between the boats? (5 points)
461.9 ft
530.9 ft
646.4 ft
325.5 ft
Answers
Answer:
a
Step-by-step explanation:
Find BD
Remember soh-cah-toa?
opposite/adjacent
tan30=400/x
xtan30=400
x = 400/tan30
Find BC
Still toa. . . still toa
90 + 60 = 150
180-150 = 30
BAC = 30
tan30=x/400
400tan30=x
BD-BC=CD
If you followed my steps, your answer should come to you.
If you didn't and are a lazy pr*ck who relies on others to do their semester exam problems for them, the answer is A. Or 461.
simplify completely -4m(9m+5)
Answers
Answer:4x
Step-by-step explanation:
Answer:
−36m2−20m
Step-by-step explanation:
Multiply yy by yy by adding the exponents.
−4⋅9m2−20m-4⋅9m2-20m
Multiply −4-4 by 99.
−36m2−20m
6. Which of the following is the volume of a hemisphere with a radius of 8
inches?
A. 1,607,68 inches cubed
O B. 1,071.79 inches cubed
C. 2,143.57 inches cubed
D. 535,89 inches cubed
Answers
Answer:
Step-by-step explanation:d
Answer:
B
Step-by-step explanation: A hemisphere is half of a sphere. Knowing this all you have to do is find the volume as if the figure was a sphere, then divide it by 2.
volume of sphere equation: V=4 /3 πr^3
Which property is shown in this example?
(6.3 + 5.2) + 8.7 = 6.3 + (5.2 + 8.7)
A. Identity Property
B. Commutative Property
C. Associative Property
D. Distributive Property
Answers
Answer:
associative property
Step-by-step explanation:
identity property is when you multiply one by any number and get the number you multiplied by. for example, 1x3=3; 1x7=7. Commutative property has to do with the order of multiplication being rearranged. and distributive property multiplies a number outside the parentheses into the numbers inside. all that's left is the associative property which indicates that addition can be rearranged and still get the same answer. hope this helps :)
What is the image of (−5,9) after a reflection over the y-axis?
Answers
Answer:
(5, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 5, 9 ) → (5, 9 )
16 = n + 3
Enter your answer in the box.
HELP ME PLEASE
Answers
N = 13
Ordered pairs of y=2/3x+1
Answers
Answer:
(-1.5,0) (0,1)
Step-by-step explanation:
used desmos
please help, im literally so lost
Answers
Answer:
RP = 2.3
PQ = 1.0
RQ = 2.3
Step-by-step explanation:
The pictures says RP = RQ,
so:
3x - 0.4 = x + 1.4
this you can simplify to:
x = 0.9
Then fill x in:
RP = 3*0.9 - 0.4 = 2.3
PQ = 0.9 + 0.1 = 1.0
RQ = 2.3
If a =3 and b=-2,what does this expression equal? -2b-a
Answers
Answer:
Step-by-step explanation:
we will replace the expression -2b-a with the values
-2(-2)-3=4-3=1
Plz help me I need help
Answers
Answer:
No
Step-by-step explanation:
The two shown sides would have to be and equal solved number.
They are not.
Orange is the correct answer.
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answers
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
I need this answer ASAP in fraction form someone plz help
Answers
Answer:
7/6 merry christmas
Step-by-step explanation:
A triangle in which one angle measures more than 90 degrees is called?
a. right triangle
C. none of the above
b. obtuse triangle
d. acute triangle
Please select the best answer from the choices provided
А
ОООО
D
Answers
step by step explanation:
B. Obtuse
Explanation
PLS help my grade is depending on also just telling me how to do it will help
Answers
Answer:
Why does it say download PDF?
Can you please help me with this problem!!
Answers
Answer:
.
Step-by-step explanation:
Easy points if u know it
Answers
Answer:
true
Step-by-step explanation:
because im smart
Answer:
true
Step-by-step explanation:
I just do
Can someone help me with explaining this question? Or explain to me if my choice is wrong? Thanks It is math, attachment below
Answers
Answer:
the answer is True (explanation below) your current answer is incorrect the equation does have No Solution.
Step-by-step explanation:
The equation has no solution because when you simplify the equation as much as possible, we are left with 2=-2. However, 2=-2 is not true, so there is no answer to this equation.
HELP ME!WILL GIVE BRAINLIEST
Answers
I’ll mark you as brainlist :)
Answers
Answer:
B
Step-by-step explanation:
6 ^ -7
PLEASE HELP I ONLY HAVE 3 MINUTES LEFT!!
Suppose that F(x) = x^2 and G(x)=3x^2 +8. Which statement best compares
the graph of G(x) with the graph of F(x)?
* look at picture* please put right answer
Answers
Answer:
ur screwed go with b
Step-by-step explanation:
Answer:B The graph of g(x) is the graph of f(x) compressed vertically. The factor of compression is 2/5 and is less than 1 so it is compressed instead of stretch if the factor was greater than 1. There is no reflection across the x-axis because there is no negative sign in front of the function f(x).
JUST ANSWER B
50 points.
Record the simplified expression
Answers
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
Don't shame I'm just trying to pass, my assignment's weigh 35% of my grade, right now my assignment percentage is 65%. My test which holds 45% of my grade is at 85% and my final is 20%, which I got a 90 on. If I take 7 0's in assignments, what would my grade be? Basically asking how many 0's under assignments can I basically take so I do not fail. Hope this makes sense
Answers
Answer:
Step-by-step explanation:
Let's start by weighing everything but the assignments. We'll get back to them momentarily.
You have 85% on 45% of your grade. That's 38.25
Your final weighs in at 20%. You have. 18
So your total so far is 56.25
Now that looks mighty low, but we haven't put in the assignments yet.
So by the time you are finished you will have done 41 out of 48 assignments and that means you have done (41/48)*100 = 85.41 of the work. On these assignments that you have done, you averaged 65%
So your assignment mark will be 0.65 * 85.41 = 55.52
The weighted average = 0.35
The mark you will get is 0.35 * 55.52 = 19.32
So your final grade will be 56.25
Grade 75.57
In Canada (where I live), that would be a solid B. I don't know how things are calculated in the US, but I have done the work properly, I think.
Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
Answers
Answer:
the first is linear and the second is exponential
Answer:
Linear and Neither
Step-by-step explanation:
Got the answer from the test because I got it wrong and it said this was the right answer.
What is the product?
2-(-8)-5-(-2)
-160
o-80
80
160
Answers
If I read this correctly, the product is 160.
2(-8)5(-2)
= 2 x -8 x 5 x -2
= -80 x -2
= 160
15 - 10 = _____(3 - 2) PLEASE HELP ON THIS IS DUE TODAY
Answers
Answer:
5 wouldd be the answer if subtract 15 and 10 Hope this helps
5 is the required suitable value, this will fit the given blank space because 5 is the GCF of the expression 15 - 10.
What is the greatest common factor?The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
here,
Given expression,
= 15 - 10
= 5 × 3 - 5 × 2
Take 5 commons from both the terms and put 3 - 2 in the parenthesis of 5.
= 5 [3 - 2]
Thus, the required simplified expression is given as 5(3 - 2).
Learn more about grates common factors here: https://brainly.com/question/11221202
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A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?
Answers
Answer:
7-2x=y
Step-by-step explanation:
When a point passes through a line it satisfies its equation
(X-x0 )m= y-y0
Slope = m = -2
(X-2 )(-2)=y-3
4-2x=y-3
7-2x=y
please answer thins thanks
Answers
A)
150 / 32 = 4.6785
5 people
B)
150 / 30 = 5
Yes
Answer:
A) Five people
B) Yes
Step-by-step explanation:
Just multiply 32 by x where x untill you hit 150 or more.
Is this graph a function
Answers
Answer:
yes
Step-by-step explanation:
becous its aparently equal