A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
y = mx + b
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ b = 3
(4, 1), (6, 0)
m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + 3
Related Questions
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answers
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?
Enter your answers in the boxes
Answers
Answer:
Did you find the answer? I need help with this too
Step-by-step explanation:
Can someone help pls
Answers
i need the answer for this question
Answers
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answers
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
I need help someone please
Answers
Answer: [tex]\frac{6}{2}[/tex]
Step-by-step explanation:
1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change
2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]
3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))
4. Replace -4 to f(8) and -10 to f(6)
5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]
6. Solve [tex]\frac{6}{2}[/tex]
A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?
Answers
Answer:
75 years.
Step-by-step explanation:
Divide 150 by 2, that gives you the years.
Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7
Answers
Answer:
B
Step-by-step explanation:
I hope it's correct and I'm thinking it is,. Sorry if it's not
Answer:
I think A
Step-by-step explanation:
3/7. Or 3:7
Cause there are 3 books and 7 tennis balls
what does x = ? need help with the pythagorean theorem
Answers
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answers
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
1. The sum of a number and ten.
Answers
X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum
→
this means that you are adding something, so you're going to use the
+
sign;
of a number
→
this means that you're dealing with a variable. The most common notation for a variable is
x
.
and 10
→
this is simply an integer that must appear in the algebraic expression along the variable
x
.
So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10
Answer:
x+10
Step-by-step explanation:
sum = addition (+)
number = variable because we don't know what the number is yet (x)
ten=ten
So by this we can get x+10
The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning
Answers
Answer:
12+18x is the perimeter
Step-by-step explanation:
4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=
3(4+6x)=
12+18x
Find the slope of the line that contains (1, 6) and (10.-9).
Answers
Answer:
-5/3
Step-by-step explanation:
m=−9−6/10−1
m=−15/9
Slope=
−15/9=−5/3
Find the equation of the line shown.
Answers
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers?
Answers
Answer:
5 trips
Step-by-step explanation:
6.48 km = 4 trips
1 trip = 6.48km ÷ 4 trips
1.62km = 1trip
8.1 kilometers ÷ 1 trip = 8.1 kilometers ÷ 1.62km
8.1 kilometers = 5 trips
∴ 8.1kilometers covers 5 trips
Please help!
Much appreciated if anyone would help x
Answers
B) 1/9
HOPE THIS HELPS :)
2x+3y = 17
2y + z = 1
5x +10z = 25
Find x
Answers
Answer:
x = 7
Step-by-step explanation:
Given the equations
2x + 3y = 17 → (1)
2y + z = 1 → (2)
5x + 10z = 25 → (3)
Rearrange (2) expressing z in terms of y
z = 1 - 2y
Substitute z = 1 - 2y into (3)
5x + 10(1 - 2y) = 25
5x + 10 - 20y = 25 ( subtract 10 from both sides )
5x - 20y = 15 → (4)
Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term
40x + 60y = 340 → (5)
15x - 60y = 45 → (6)
Add (5) and (6) term by term to eliminate y, that is
55x = 385 ( divide both sides by 55 )
x = 7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].
The equation [tex]5x+10z = 25[/tex] can then be turned into:
[tex]5x+10(1-2y) = 25[/tex]
[tex]5x+10-20y = 25[/tex]
[tex]5x -20y = 15[/tex]
[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)
We can now use elimination to solve for one of the variable:
[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)
[tex]2x-8y=6[/tex]
[tex]2x+3y-(2x-8y) = 17-6[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Now, we can use substitution to solve for [tex]x[/tex]:
[tex]2x+3y = 17[/tex]
[tex]2x+3 = 17[/tex]
[tex]x = 7[/tex]
Hope this helps :)
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answers
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
Help Really quick
The table shows data collected from 14 people.
Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.
r=
Answers
Answer:
i need the answer ;(
Step-by-step explanation:
Can somebody plz answer both questions! only if u done it before thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD
Answers
Answer:
48% is A and since i like quarters more than nickels and dimes its c for 30
Step-by-step explanation: Because I said so.
Answer:
To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.
For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.
7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g
Answers
Answer:
Option B
Step-by-step explanation:
Subscribe to RANDOM TOPICS TRENDING on youtub. Thank you.
What is the answer to this
2(x-5)-6=-18
x=___
Answers
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
A number x is greater than 3.
Answers
Answer:
4,5,6,7,8,9..........................
Find two integers whose sum is 19 and product is 90
Answers
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
Learn more about integers:
https://brainly.com/question/15276410
#SPJ2
Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100
Domain: ____
Range: ____
Answers
Range is 140 because it would be a straight line
-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg
Answers
Answer:
d = 8/3
Step-by-step explanation:
HURRYYYYY
Which system of linear inequalities is graphed?
Answers
I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.
HELP ASAP OTS DUE IN 5 MINUTES!!!!
Find the slope of the line.
0-5
0 -1
O 1
None of the above
Answers
Answer:
0 -1
Step-by-step explanation:
because the line is going down which is negative
what are the three products of celullar respiration
Answers
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
-3y-2=7 what is the value of y
Answers
Answer:
y = -3
Step-by-step explanation:
Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3
Answer:
The equation has one solution at which y = -3.
Step-by-step explanation:
To find the value of y, we need to isolate it from the rest of the equation.
Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]
We can check to make sure that y = -3 by substitution.
[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]
Because we got a true statement, we can determine that y = -3.