Answers
Answer:
The relation is a linear function with the equation: y = -6/5x + 3/5
Step-by-step explanation:
Question 5)
The given graph is a straight line.
We know that the graph of a linear function is a straight line that can be written in the form
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
The slope of the line can be determined by taking two points
(3, -3)
(-2, 3)
Finding the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]
[tex]m=\frac{3-\left(-3\right)}{-2-3}[/tex]
[tex]m=-\frac{6}{5}[/tex]
From the graph, the y-intercept can be obtained by setting x=0 and check the corresponding y-value of y.
or substituting m = -6/5 and (3, -3) in the slope-intercept form to determine y-intercept 'b'.
[tex]y = mx+b[/tex]
[tex]-3\:=-\frac{6}{5}\left(3\right)\:+\:b[/tex]
[tex]-\frac{18}{5}+b=-3[/tex]
[tex]b=\frac{3}{5}[/tex]
now substituting m = -6/5 and b = 3/5 in the slope-intercept form to determine the equation of the linear function
y=mx+b
y = -6/5x + 3/5
Therefore, the relation is a linear function with the equation: y = -6/5x + 3/5
Related Questions
Juan is 15 years old. Emanuel is twice as old as 3/4 of Juan's age which is represented by the following expression: 2 (3/5 x 15). How old is Juan's brother Emanuel? A 36 years old B. 18 years old C. 9 years old D. 7 years old
Answers
Answer:
He's 18
Step-by-step explanation:
3/5 x 15= 9
9x2=18
He is 18
help please 25 points! :)
Answers
Answer:
Please see the attached picture!
Hope this helps! ♡
----------------Keep Exploring ! --------
Solve for x.
2/5x = 6/5
A: x = 12/25
B: x = 12/5
C: x = 3
D: x = 6
Answers
Answer:
C. x = 3
Step-by-step explanation:
2/5(3) = 6/5
6/5 = 6/5, correct!
What is the slope of the line that passes through the points listed in the table.
It should be easy I’m just not smart.
Answers
Answer:
this answer will be b
Step-by-step explanation:
If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?
Answers
Answer:
10Step-by-step explanation:
Let the number be x
5x - 9 = 4x + 15x - 4x = 1 + 9x = 10Proof:
50 - 9 = 40 + 1SAVINGS Natalie has $250 in her savings accountinto which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w) = 250 + 10w , where w represents the number of weeks. Write a function g(w) to represent the balance of Natalie's savings account if she withdraws $40 to purchase a new pair of shoes. Describe the translation of f(w) that results in g(w) .
Answers
Answer:
[tex]g(w) = 210+ 10w[/tex]
Step-by-step explanation:
Given
[tex]f(w) = 250 + 10w[/tex]
[tex]Withdrawal = \$40[/tex]
Required
Determine g(w)
First, we'll write an expression for g(w)
From the question, we understand that she withdrew $40 from her account balance in w weeks.
This implies that:
[tex]g(w) = f(w) - 40[/tex]
Where f(w) is the account balance in w weeks and $40 is the withdrawn amount
Substitute 250 + 10w for f(w)
[tex]g(w) = 250 + 10w - 40[/tex]
Collect Like Terms
[tex]g(w) = 250 - 40+ 10w[/tex]
[tex]g(w) = 210+ 10w[/tex]
Recall that:
[tex]g(w) = f(w) - 40[/tex]
This means that function f(w) when shifter by 40 units downward, gives g(w)
PLEASE HELP!!! I don't understand rate of change so please include a bit of an explaination. Use the table to find the rate of change
Answers
Answer:
4
Step-by-step explanation:
every 2 servings, 8 oz. every 1 serving, 4 oz.
Answer:
try looking up rise over run method. that's what i was taught to use for rate of change. it's easier so basically it's x over y
Step-by-step explanation:
Find the measure of angle A
Answers
Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
Which equation best represents the data shown in the scatter plot below?
A. y = 3/2x + 3
B. y = 11/3x + 4
C. y = −x + 17
D. y = −2x + 31
Answers
Answer:
Step-by-step explanation:
c
what is 2 63/100 plus 3 1/4
Answers
Answer:
147/25 or 5.88
Step-by-step explanation:
Answer:
147/25 is the exact form | 5.88 is the decimal form | Mixed number form is 5 22/25
Step-by-step explanation:
Find the slope of the line through the given points:
(-3,-4) and (5, 12)
Leave answer as a fraction.
slope =
Blank 1:
Answers
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.
because I prefer to go from left to right, let's go from
(-3, -4) to (5, 12).
x changes by +8 (from -3 to 5).
y changes by +16 (from -4 to 12).
so, the slope is
+16/+8 = 2/1 = 2
Triangle ABC is located on a coordinate plane. Triangle ABC is transformed to create triangle A'B'C using the rule described below.
(z, y) → (u + 6,z +6)
Are triangles ABC and A'B'C'congruent?
Answers
Answer:
What grade is this
Step-by-step explanation:
I can give you the answer but you have to be patient like 30 min
HELPP PEASE THIS IS DUE VERY VERY SOON ILL PICK BRAINLEST
Answers
Answer:
d
Step-by-step explanation:
Name a theorem or postulate that lets you conclude ΔABD≅ΔCBD
Answers
Answer:
AAS
Step-by-step explanation:
What is the value of |-25|?
Please help me ASAP
Answers
Answer: 25
Step-by-step explanation:
Find the 60th
term of the arithmetic sequence -27, -24, -21, ...
Answers
Answer:150
Step-by-step explanation:
help plz :(((((((((((((
Answers
Answer: ITS A! I HAVE THE SAME TEST!
Step-by-step explanation:
6,12,11,8,4,1,11,4 median
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The cost of making a phone is $152. A store sells the phone for $281.20.
Select all the expressions that could be used to find the percentage of markup for the phone.
Answers
Answer:
The store is selling the phone by 185% of its value...
Step-by-step explanation:
You just gotta divide 281.20 (the value of the phone at the store), and divide it up by 152 (its original value). And multiply the result by 100 to get the percentage.
[tex](\frac{281.00}{152})(100) = (1.85)(100) = 185%[/tex]%
Algebra 1 easy. Will give brainlest PLZ ASAP!
Answers
Answer:
2, -2
Step-by-step explanation:
just test each one
write an equation of the line that passes through (3, -1) and is parallel to 2x-y=6
Answers
-y=6-2x
y=-6+2x
y=2x-6
So you want a slope parallel to that of y=2x-6
So the slope will be m=2
Now you use the point slope formula to plug it in. Let (x1,y1) be (3,-1) so x1=3 and y1=-1
And let m=2
So
y-y1=m(x-x1)
So you have
y-(-1)=2(x-(3))
so this gives you
y+1=2(x-3)
Solving for y
You get
y=2(x-3)-1
y=2x-6-1
y=2x-7
So your answer is
y=2x-7
Hope this helps!
if necessary, round to the nearest tenth and label your answer
10ft
4ft
Answers
Answer:
9.2 ftStep-by-step explanation:
[tex]H^2+4^2=10^2\\\\H^2+16=100\\\\H^2=100-16=84\\\\H=\sqrt{84}\approx9.2\ ft[/tex]
Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v?
Answers
Answer:
I think it's C. 0
Step-by-step explanation:
On Edge
MIGHTY MT. EVEREST
The Earth’s surface is composed of gigantic plates that are constantly moving. Currently, India lies on a plate that is slowly drifting northward. India’s plate is grinding into the rest of Asia. As it does so, it pushes up the Himalayan Mountains, which contain the world’s highest peak, Mt. Everest. In 1999, mountain climbers measured Mt. Everest with satellite gear and found it to be 8850 meters high. Geologists estimate that Mt. Everest may be growing by as much as 5 cm per year.
Your Task: Assuming a constant growth of cm per year, determine how tall Mt. Everest was in the year 0. (The year 0 is the year that came 2000 years before the year 2000.) Write an equation for the height of Mt. Everest over time, with x representing the year and y representing the height of the mountain.
What are the units for m and b in your equation? How many decimal places should be in your answer? Explain why.
Answers
The general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.
What is a time - varying quantity?A quantity whose magnitude is a function of time is called a time - varying quantity. For example → x = 2t.
Given is the measured height of Mt. Everest with the help of satellite gear. Geologists estimate that Mt. Everest is growing by as much as 5 cm per year.
Height of Mount Everest in the year 1999 → 8850 meters.
Rate at which Mt. Everest grows per year → 5 cm/yr = 1/20 m/yr.
The general equation representing the height of Mt. Everest over time can be written as →
y = 0.05x + 8850
where -
'x' represents the year.
'y' represents the height of the mountain.
The general equation of a straight line is given by -
y = mx + b [ m → slope, b → y-intercept ]
'y' represents height and is measured in meters. The slope 'm' of line is a dimensionless quantity as it the ratio of two lengths (y/x) and 'b' is measured in meters.
Now for x = - 2000
y = - 100 + 8850
y = 8750 m
Therefore, the general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/28739008
#SPJ1
If the shop has 350 fish available for sale, how many of them are goldfish?
goldfish- 30%
betas- 10%
Zebra fish- 20%
Guppies-40%
Answers
Answer:
105
Step-by-step explanation:
multiply 350 by .30(30%) and that will tell you how many goldfish there are
Answer:
105 fish my dear
Step-by-step explanation:
please help, look at the photo, it’s urgent
Answers
Answer:
C
Step-by-step explanation:
Could you help me on my history please
Suzie had a 49-question quiz, and she received 59.2%, but 12 questions weren't graded yet.
If all 12 questions are correct, what is the new percentage?
Answers
Based on the number of questions in the quiz that Suzie did, if 12 questions were not graded and they were all correct, the new percentage on the quiz is 69.4%
How to find the new percentage?There were 49 questions in the quiz and 12 were not graded. The number that was graded was;
= 49 - 12
= 37 questions
She got 59.2% which means that the number of questions Suzie got correct were:
= 37 x 59.2%
= 21.9
= 22 answers
If the 12 questions were correct, the new percentage would be:
= (22 + 12) / 49 x 100%
= 34 / 49 x 100%
= 0.693877551 x 100%
= 69.4%
Find out more on percentages at https://brainly.com/question/28107595
#SPJ1
Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12
Answers
Answer:
m = 2
Step-by-step explanation:
Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)
8x - 4y = 12
8x - 8x - 4y = -8x + 12
-4y = -8x + 12
-4y/-4 = (-8x + 12)/-4
y = 2x - 3
The slope for this equation is 2.
Equations with the same slope are parallel and therefore have no solution since they can never intersect. Hence, the required value of m is 2.
What is the equation of the line that passes through the points (0, -2)and (0,−5)?
Answers
Answer:
Equation of the line: x = 0.
3. List the angles of the triangle in order from smallest to largest.
3
4.9
A
3.2
C
a. B, C, A
b. C, A, B
C. B,A,C
d. A,B,C
e. A,C,B
f. CB, A
Answers
Answer:
The list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
Step-by-step explanation:
We know that in a triangle the greater angle has the longer side opposite to it.
From the given triangle,
Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.
Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.
Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.
Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)