Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Learn more : brainly.com/question/20816424
2.1.2 Linear Tables and Graphs (Algebra 1)
The question is on the image below
Answer:
Step-by-step explanation:
1). Let the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]
y-intercept = -2
Equation → y = [tex]\frac{1}{4}x-2[/tex]
2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]
y-intercept 'b' = -3
Equation → y = [tex]\frac{3}{4}x-4[/tex]
3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]
= [tex]-\frac{20}{3}[/tex]
y-intercept = 5
Equation → y = [tex]-\frac{20}{3}+5[/tex]
4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]
y-intercept = 4
Equation → y = [tex]-\frac{1}{2}x+4[/tex]
5). Since, line is passing through origin (0, 0)
y-intercept = 0
Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]
Equation → y = x
6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]
y-intercept = -4
Equation → y = [tex]\frac{1}{4}x-4[/tex]
The function f(t) = 9600(1.95) 36 represents the change in a quantity over t days.
What does the constant 1.95 reveal about the rate of change of the quantity?
Im really not sure
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
growing , 95, year
Identify the slope of the line graphed below.
m =
the slope is 0 bc its horizontal
4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is
Answer:
the sum is going by 2
Step-by-step explanation:
the sum is 2
PLEASE HELP PLEASE
question: Your mass on earth is 50 kilograms. What is your mass on the moon?
Answer:
No matter if you are on Earth, the moon or just chilling in space, your mass does not change. But your weight depends on the gravity force; you would weigh less on the moon than on Earth, and in space you would weigh almost nothing at all. Where ever you are, your mass will always stay the same.
Answer:
50 kilograms
Step-by-step explanation:
Mass never changes, and is constant everywhere. The weight is what changes. If you weigh 50 kg on Earth, you'll weigh 50 kg everywhere else in the universe. That's because the amount of matter in you cannot change.
the one mile race is equal to how many feet
Your answer to this question
✿ 1 Mile = 5280 feet ✿
There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
4/9
Step-by-step explanation:
20+16= 36 total shapes. 16/36 simplifys to 4/9.
The simplest ratio of triangles to total shapes is 4:7.
Given that the number of squares=20 and the number of triangles=15.
The total number of shapes=20+15=35.
We need to find the simplest ratio of triangles to total shapes.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, triangles: total shape=20:35
=4:7
Therefore, the simplest ratio of triangles to total shapes is 4:7.
To learn more about the ratios visit:
https://brainly.com/question/13419413.
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What is the median for 6.74
Answer:
sorry i needed the points for school
Step-by-step explanation:
Answer:
Median normally is the middle figure in a set of numbers. not totally sure.
Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?
Answer:
$5.50
Step-by-step explanation:
One icecream cone costs $2.75, so two would cost $5.50.
Answer:
$5.5
Step-by-step explanation:
--Use division
16.50 ÷ 6 = 2.75
--Then multiplication
2.75 x 2 = 5.5
It costs $5.5 to buy 2 ice cream cones.
Write -2(pi)/9 in degrees.
Answer:
-40 DEGREES
Step-by-step explanation:
Does this graph show a function? Explain how you know.
A. No, there are yvalues that have more than one x-value.
B. Yes, there are no yvalues that have more than one x-value
C. Yes, the graph passes the vertical line test. PREVIOUS
D. no the graph fails the vertical line test
Answer:
D. no the graph fails the vertical line test
Garret bought 7 bags of apples. The red Apple came in bags of 5 and green came in bags of 2. Garret bought a total of 17 apples. How many of each type of apple did he buy.
Answer:
6 green apple bags and 1 red apple bags
Step-by-step explanation:
6 green apple bags = 12 apples
1 red apple bag= 5 apples
12+5 =17 apples
6+1= 7 bags
Answer:
1 bag of red and 6 bags of green apples.
Step-by-step explanation:
We need to pick 7 bags of apples of different sizes so that the total number of apples = 17.
If Garret bought 1 bag of 5 then the other 12 apples would have to come in 6 bags.
That is 6 bags of 2 apples.
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation StartFraction 1 over 7 EndFraction (105 + r) = 20 represents the situation. Which describes the solution, r, to this equation?
The solution is 5, which represents the number of miles she runs each day.
The solution is 5, which represents the number of miles she runs each week.
The solution is 35, which represents the number of miles she runs each day.
The solution is 35, which represents the number of miles she runs each week.
Answer:D :)
Step-by-step explanation:
TRUST ME
Answer:
D
Step-by-step explanation:
I just did the quiz on edge 2020-2021
Priya has picked 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?
Plz answer quick needed for quiz
Answer:
2/3 cups
Step-by-step explanation:
Using unitary method we get the ans as 2/3.
Consider these three squares with known area 25, 144,169
Answer:
Step-by-step explanation:
three squares with known area 25, 144,169...
1) area of the square =25
Side ×side=25
Side^2=25
Side=√25
Side =5.
Answer is 5.
2) area of the square =144
Side ×side=144
Side^2=144
Side=√144
Side =12
Answer is 12.
3)area of the square =169
Side ×side=169
Side^2=169
Side=√169
Side =13
Answer is 13.
Name the relationship: complementary, linear pair, vertical, alternate interior, corresponding, or
alternate exterior.
Answer:
Linear pair
Step-by-step explanation:
Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.
Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.
Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.
A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers
Answer:
66.666%
Step-by-step explanation:
*that is the actual answer*
*i'm not summoning Satan*
Answer:\ Yes, they are color markers.
Step-by-step explanation:
hope this helps!!
Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. What is the equation of function g? g(x) =___ f(x)
Answer:
the answer is -3 I just took the test and got 100%
Answer:
-3
Step-by-step explanation:
Answer is correct from plato, other guy is right too.
Pythagoras theorems
Question 7
Answer:
i think the answer is 16/3
12. pesos de 100 es: %
Answer:
la respuesta es 80 pesos espero que te ayude
What is the value of the expression?
- 16+ 12
0-28
-4
4
O 28
Write the equation of the green line.
Answer:
y = -1/2x + 2
Step-by-step explanation:
Let the equation of the green line be y = mx + c
From the graph, (-6, 5) and (0, 2) are 2 points on the green line.
m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)
sub (0, 2) and m = -1/2:
2 = -1/2(0) + c
2 = c
therefore,
equation of the line: y = -1/2x + 2
Cara deposited $200 dollars into her savings account bringing her balance up to $450.
Which equation can be used to find, x, the savings account balance before the $200 deposit?
Answer:
$250 dollars was the original amount of money before she deposited the extra $200 dollars.
Step-by-step explanation:
450 - 200= $220 dollars
220+200= $420 dollars
220+30= $250 dollars
250+200= $450 dollars
$250 dollars is the total amount of money that was originally deposited into her savings account.
Answer:
x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3
before unlimited talk and text, bonnie used to pay $40 per month for her cell service, plus $0.10 for each text message she sen. One month, bonnie had a $76.50 cell phone bill. Write and solve an equation or inequality to determine how many text messages bonnie sent that month.
Answer:
Step-by-step explanation:
0.1 x + 40 = 76.5
0.1x = 36.5
x = 36.5 ÷ 0.1 = 365
I need help ASAP (10 points)
Answer:
180
Step-by-step explanation:
4<-2x+3<9 i dont understand
Answer:
-1/2 > x > -3
Step-by-step explanation:
i)
-2x+3>4
-2x> 1
x < -1/2
ii)
-2x+3<9
-2x<6
x > -3
= -1/2 > x > -3
Enter the number that makes the equation true
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Help plsssssssssssssssssssssss thanks so much
Answer:
4 3/8
Step-by-step explanation:
1 1/4 * 3 1/2
9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{4}[/tex]
Step-by-step explanation:
So when it says he biked 3[tex]\frac{1}{2}[/tex] ur suppose to add it 3 times then u add the both ones on the top and u get 2 then the answer u get is either 9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{2}[/tex]
endrick walked 5 12 of a mile in 1 2 of an hour. How fast did he walk?
hey guys this is really in hard what is 1-5=
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
start at one then start counting backward from one
1, 0, -1, -2, -3, -4
hope this helps (*/ω＼*)