Answers
Slope=rise/run. 3\4
Y-intercept = 2
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{3}{4} x+2[/tex]
Step-by-step explanation:
When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.
1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:
[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]
Thus, the slope is [tex]\frac{3}{4}[/tex].
2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.
3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex] and the [tex]b[/tex] to write the equation of the line.
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:
[tex]y = \frac{3}{4} x+2[/tex]
Related Questions
A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.
Answers
The tanks will therefore have the same amount of water after the 40 seconds
The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
What is meant by equation?There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
Various kinds of equations: Algebraic math equations include the following.
Equation with Lines;
More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Equation in QuadratureThis equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic FormulaA third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2
Given ,
tank 1 = 120 - 1/2x
tank 2 =100 - 1/4x
Therefore 120-1/2x = 100-1/4x
So we can conclude that the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.
120x + 1/2 = 100x + 1/4
120 + 1/2x = 100 + 1/4x
120x - 1/2 = 100x - 1/4
120 - 1/2x = 100 - 1/4x
To learn more about equation refer to:
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about what percent of gyms in shanesville have fewer than 56 gym members
Answers
Answer:
25%
Step-by-step explanation:
About 25% of gyms in Shanesville have fewer than 56 gym members.
The correct answer is option (2).
What is interquartile range?"Interquartile range = Q3 - Q1"
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For this example,
Q1 = 56
Q2 (median) = 64
Q3 = 70
So, the interquartile range is,
⇒ 70 - 56 = 14
Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.
so, the percent of gyms in Shanesville have fewer than 56 gym members would be,
⇒ 14 / x = 56
⇒ x = 14 / 56
⇒ x = 1/4
⇒ x = 0.25
The percentage of 'x' would be,
⇒ 100 × 0.25 = 25 %
Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.
The correct answer is option (2).
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Need help! Pls help meee
Answers
Answer:
3min
Step-by-step explanation:
it is
If x+3/3 = y+2/2, then x/3 = ______
Answers
X-Y= 0
Hope this helped you
what is the greatest common factor of 120 and 72 plus explaination?
Answers
Answer:
24
Step-by-step explanation:
24x3=72
24x5=120
y
45°
30°
N
17
I need help pls
Answers
Answer:
x=29.4
Step-by-step explanation:
To help find the sides of a triangle, I use SOHCAHTOA.
SOH - CAH - TOA
S=O/H ([tex]Sine=\frac{opposite}{hypotenuse}[/tex] )
C=A/H ([tex]Cosine=\frac{adjacent}{hypotenuse}[/tex] )
T=O/A ([tex]Tangent =\frac{opposite}{adjacent}[/tex] )
Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.
So it would be tangent (tan).
opposite = 17
adjacent = 30°
Plug these numbers into the calculator and you should get your answer.
[tex]\frac{17}{tan(30)} = 29.44486372...[/tex]
x=29.4
Try to do y on your own and let me know if you have any questions!
Also correct me if I'm wrong on anything.
Hope this information helps!
A coat that was $125 but it marked down 30%
Answers
Answer: $87.50
Step-by-step explanation:
Did a short way I learned.
Since we are marking down did
100%-30% = 70%
Convert it into a decimal:0.7
Did 125(0.7) and got 87.50.
I am 100% sure this is right.
A recipe calls for 10 cups of flour to make 50 pancakes. How many pancakes can be made with a single cup of flour?
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
With a 1:5 ratio of flour to pancakes, 5 would be the correct answer
Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus
for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Answers
Answer:
d
Step-by-step explanation:
d
Equation: 60.75p + 974.5 = 1946.5
Answer: p = 16
PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Answers
what is (2m+8y)+(4+9m)+(-2 -3
Answers
I WILL DO ANYTHING JUST PLEASE
Answers
Answer:
95 0r 91
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
trust me
Choose values for horizontal and vertical translation to move triangle ABC. Use the tool to translate the figure in both the x and y directions. y Horizontal Translation 4 C 2 Vertical Translation Which statements are true about the image? The triangle flipped upside down. The sides stayed the same length. The angles stayed the same size. The triangle completed a quarter turn. -2. Reset -2 A B -48.
Answers
Answer:The sides stayed the same length
The angles stayed the same size
Step-by-step explanation:
Identify the translations.
The orange triangle, A, is the pre-image.
The pre-image moved
✔ 5
units horizontally to form the purple triangle, B.
The pre-image moved
✔ 4
units vertically to form the green triangle, C.
Please help with number 3 please due today
Answers
An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Mark has $26 to spend on admission and rides. Write and solve an equation to find how many rides Mark can ride in one day.
Answers
Answer 7 rides
Solve $26 minus $15.50 equal $10.50 then divide 10.50 by 1.50 and you’ll get 7
A triangle has angle measures of 95° and 65° What is the measure of the third angle
Answers
p equals to 2x + 3 all over 3x - 2 Express the following equation
Answers
Answer:
The equation is;
p = (2x + 3)/(3x-2)
Step-by-step explanation:
Here, we want to express the given equation written in words
We have this as;
p = (2x + 3)/(3x-2)
What is the measure of DC??
Answers
Answer:
113 - L O L Z - but its a obtuse angle
Step-by-step explanation:
Angela spent $48.00 on a sweatshirt, a hoagie, and 2 books. The sweatshirt cost $18.95, and the hoagie cost $7.25. The books cost the same amount. How much did each book cost? not addition
Answers
Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.
Answers
Answer:
I don't see any answer choices to choose from
Answer:
there is not options to answer
Step-by-step explanation:
Which of the following isolates r correctly?
4r - 6 = 2(n + 3)
Answers
Answer:
r = 1/2n + 3
Step-by-step explanation:
Are there answer choices to choose from?
This is how you would isolate the r:
4r = 2n + 6 + 6 so 4r = 2n + 12
Solve for r by dividing both sides by 4 so r = 1/2n + 3
Answer:
-2=2n+6
2n=2-6
2n=-4
n=-2
need HELP!
........m
Answers
Answer:
7/8
Step-by-step explanation:
turn 1/4 denominator into 8 and by doing that, u multiply by 2.
whatever you do to the bottom, u do to the top. so 1/4= 2/8
5/8+2/8= 7/8
5/8 + 1/4 = 37/20
37/20=1 y 17/20
How do you find the value of 35(10)? Find the answer.
To find the value, you will need to use the Order of Operations (PEMDAS).
Answers
[[[Content deleted]]]
Step-by-step explanation:
fufghtykkoooogtthhgfthhyfrhjrtffujfjgeetjkwhat is .16 divided by .03220
Answers
0.16÷0.3220=0.49689440993
Graph the equation y = -7/2x+2 on the coordinate plane.
Answers
Answer:
2y ( -5,2)
Step-by-step explanation:
you start at 2y and go down 7 times and move 2 times left
A student carries out a survey of favourite colours. Can she find the average colour? Give a reason for your answer.
Answers
Answer:
Yes
Step-by-step explanation:
She can because you can find the average of something by at least having 2 numbers and since its a survey there's more then 2 people so yes is the right answer.
Plssss help———What is an exponent and how do you solve it? 4-5 sentences :)
Answers
Answer:
[tex] {5 }^{2} [/tex]
that is an exponent
Step-by-step explanation:
an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125
A pancake recipe calls for 7 eggs and 35 cups of flour. How many cups of flour would you need for a single egg?
Answers
Answer:
Imao 5
Step-by-step explanation:
just divide
Answer:
5 cups.
Step-by-step explanation:
The egg to flour ratio is 7:35
If you narrow it down, it is 1:5
You have to divide it.
please help answer number 1
Answers
What is 792 divided by 44
Answers
792/44 = 18