Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.
1) What does the slope mean in real life in the context of the problem?
2) What does the y-intercept mean in real life in the context of the problem?
Answer in complete sentences.
Answers
Answer:
1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3
Step-by-step explanation:
The solution is
1) The slope of the graph m = 3 represents the growth of the tree per year
2) The y-intercept means the initial height of the tree , when x = 0
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 14 )
Let the second point be Q = Q ( 1 , 8 )
Now , the slope of the two points on the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( 3 - 1 )
Slope m = 6/2
Slope m = 3
Therefore , the slope is 3 feet per year
b)
The y intercept is calculated from the equation of line , when x = 0
So , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 14 = 3 ( x - 3 )
On simplifying the equation , we get
y - 14 = 3x - 9
Adding 14 on both sides of the equation , we get
y = 3x + 5
Now , when x = 0
y = 3 ( 0 ) + 5
y = 5 feet
From the graph we can see that , at 0 years the initial height of the tree is also 5 feet
Therefore , the y intercept is 5 feet
Hence , The slope of the equation is 3 and y intercept is 5
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Related Questions
2. List the like terms in each of the following
i) 4x2 , -5x , 6 , 7x , -2x2 , -3
Answers
he is the best way to get a free agent and I ask 6262626
-5x and 7x
6 and - 3
24 feet/second to inches/minute
Answers
Answer:
4.8 inches a minute is probably the answer
Answer:
4.8 inches a minute
Step-by-step explanation:
The angle measures of an isosceles triangle are shown. Find the value of w.
Answers
Answer:
[tex]w=7[/tex]
Step-by-step explanation:
Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:
[tex]62 +9w-1+8w=180[/tex] First combine like terms
[tex](62-1)+(9w+8w)=180[/tex]
[tex]61+17w=180[/tex] Then subtract 61 from both sides.
[tex]17w=180-61[/tex]
[tex]17w=119[/tex] Now divide by 17
[tex]w=119/17[/tex]
[tex]w=7[/tex]
what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90
Answers
Answer:
Step-by-step explanation:
5 1/6, 5 13/30, 5 68/90
(02.02 LC)
If g(x) = x2 + 2, find g(3).
O9
O8
O 11
O6
Answers
Answer:
8
Step-by-step explanation:
g(x) = 2x + 2
g(3) = 2*3 + 2 Substitute 3 for x.
g(3) = 6 + 2 Multiply.
g(3) = 8 Add.
Answer:
g(3) = 11
Step-by-step explanation:
Substitute x = 3 into g(x) , that is
g(3) = 3² + 2 = 9 + 2 = 11
What value of x makes this equation true? 12x minus 15 = 6 minus 3x.
Answers
Answer:
x = 1.4
Step-by-step explanation:
12x - 15 = 6 - 3x
12x + 3x = 6 + 15
15x = 21
x = 1.4
Check:
12(1.4) - 15 = 1.8
6 - 3 (1.4) = 1.8
The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
Given:
12x minus 15 = 6 minus 3x
12x - 15 = 6 - 3x
collect like terms
12x + 3x = 6 + 15
15x = 21
x = 21 / 15
x = 1.4
Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
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What is the equation of the line in slope-intercept form?
The equation of the line is
Answers
Answer:
y=mx+b
Step-by-step explanation:
The slope-intercepts formula, the y = y coordinate, m = slope, x = x coordinate, b = y intercept
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500.
a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?
a. The down payment is __?__% of the purchase price.
(Type a whole number.)
b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)
Answers
Divide the down payment by the purchase price then multiply by 100 to get the percent.
A. 37,500 / 150,000 = 0.25
0.25 x 100 = 25%
B. 67,500/150,000 = 0.45
0.45 x 100 = 45%
what is 1/5 of 15? ( algebra)
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.
Answers
n(S)=2
n(head)=1
P(of getting a head)=1/2
Sample Space for die=1,2,3,4,5,6
n(S)=6
n(odd numbers)=3
P(of getting an odd number)=3/6=1/2
P(of getting a head on the coin and an odd number on the die)=1/2 + 1/2 =1
Probability expressed as a percentage=1*100%=100
The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
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On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 914.25 How many children and how many adults swam at the public pool that day?
Answers
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Y - 7 =- 4(x - 2)
convert it into y-intercept form
Answers
Answer: the y intercept form is y= 4x-1
Step-by-step explanation: let me know if you need to know how I got it
Given m=-2/3, b=-7 give the point in slope form, slope intercept form, standard form, ;general form. HELP IS NEED ASAP PLEASE!!!
Answers
Answer:
Step-by-step explanation:
m=-2/3
b=-7
First, find the slope-intercept form.
y=mx+b
You know what the m and b values are, so simply plug them into the equation.
Slope-Intercept Form
y=-2/3x-7
From there, let's find the point-slope equation.
An easy way to find a coordinate point that the line crosses is to set one of the x or y variables equal to 0.
So let's set the x to 0.
y=-2/3x-7
y=-2/3(0)-7
y=-7
Therefore, when x is 0, y is equal to -7. We can now write our point. (0,-7)
Use the point-slope formula to write the point-slope equation.
y-y1=m(x-x1)
Point-Slope Equation
y-(-7)=-2/3(x-0)
Now, to find the standard form equation, let's find it using our slope-intercept equation. The formula to find standard form is
ax+by=c
y=-2/3x-7
Standard Form Equation
2/3x+y=-7
A restaurant chain would like to measure the proportion of customers who are generally satisfied with the service provided by its staff. At the end of the meal, as the check is delivered to the table, the server asks those at the table to rate their satisfaction with the service provided as "Very Satisfied,” "Satisfied,” or "Not Satisfied.” During a one-week period, 147 customers were surveyed and 135 (93%) reported they were either Satisfied or Very Satisfied. How might the results be biased in obtaining an estimate of all customers who are satisfied with service?
Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
Because of response bias, the survey results may underestimate the true proportion of satisfied customers.
Because of voluntary response bias, the survey results may overestimate the true proportion of satisfied customers.
Because customers were surveyed over a one-week period, the results should provide an accurate estimate of satisfied customers.
PLEASE HELP
Answers
Based on the information given regarding the bias, the correct option is A. Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
From the information given, it can be depicted that the type of bias that's present is the response bias because the customers may not respond truthfully to the server.
Therefore, because of response bias, the survey results may overestimate the true proportion of satisfied customers. In this case, the survey will show a higher number of satisfied customers which isn't a true reflection.
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Answer:
a
Step-by-step explanation:
Quien me ayuda? pls!!!
Answers
Answer:
The answer is B
Step-by-step explanation:
You need to find the derivitive of the equation and ,ultiply by B!!!
How many real solutions are there for the quadratic equation below?
0=2x^2-3x+7
A) 0
B) 1
C) 2
D) infinite
Answers
Answer:
2 solutions
Step-by-step explanation:
2 solutions
3/4 - i[tex]\sqrt{47}[/tex]/4
3/4 + i[tex]\sqrt{47}[/tex]/4
Find the value of y.
Answers
There is a photo attached
1. If the spinner below is spun once, find the
probability of a number less than 10
Answers
Answer:
5% chance
Step-by-step explanation:
Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25
Answers
Answer:
B. x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x + 25
x^2 - 10x + 25
amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone
Answers
Solve the formula for converting temperature from degrees Celsius to degrees Fahrenheit for C.
Answers
F = 9/5C + 32
F - 32 = 9/5C
C = 5/9(F - 32)
Correct answer: A
Hope this helps! :)
Please help me solve this much appreciated
Answers
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
the answer of the question is 4
find the angle measure of b
Answers
14) b=61 because it as right angle so 90 minus 29 equals 61
15) b= 23 because 360 is a full circle so you add 243 and 94 and get 337 then subtract 337 from 360
16)b=131 because you subtract 49 from 180
17) b=90 because you subtract 90 from 180
18) b=73 because of vertical angles
if valley middle school has 206 girls and the school has 450 what is the percent of how much girls are there?
Answers
Answer:
45.777777777778%
Step-by-step explanation:
Divide it
Hope this helps! ;)
Please help!!! what are the 3 solutions of 0
Answers
Simplify [tex]\frac{4x-10}{2}[/tex] to it's simplest form
Answers
I hope it helps
0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answers
Answer:
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2
Answers
Answer:
This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?
There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.
Hope this helps!
the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school
Answers
Answer:
There are 60 boys and 100 girls at Rotterdam High SchoolStep 1: Add the ratios
=> 3 + 5=> 8Step 2: Divide 160 by 8.
=> 160 ÷ 8=> 20Step 3: Multiply.
=> Total students of boys: 20 x 3 = 60 students=> Total students of girls: 20 x 5 = 100 studentsTherefore, there are 60 boys and 100 girls at Rotterdam High School
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Please factor out the following problem:
3x^2y^2-xy^2-4y^2
Answers
Answer:
Look at image
Step-by-step explanation: