What is an equation of the line that passes through the points (3,4) and (5,8)
Answers
Answer:
i think 5
Step-by-step explanation:
Step-by-step explanation:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. Click on the datafile logo to reference the data. 6 4 6 8 7 7 6 3 3 8 10 4 8 7 8 7 5 9 5 8 4 3 8 5 5 4 4 4 8 4 5 6 2 5 9 9 8 4 8 9 9 5 9 7 8 3 10 8 9 6 Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.
PLSSSS!!! (10points)
A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.
Valerie wants to take out a discount loan of $569. The rate is 4.5% for 250 days. How much interest will she pay? (Be sure to round the time to the nearest hundredth.
Answers
Answer:
The width of the fence measures 6 feet
Step-by-step explanation:
Firstly, we assign variables.
Let the width of the fence be represented by w and the length by l
Now let’s get what the length would be. width is 2 less than half length
w = l/2 - 2
or simply l/2 = w + 2
which is same as l = 2(w + 2)
Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula
P = 2(l + w)
Now let’s insert what we have:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 44-8
6w = 36
w = 36/6
w = 6 feet
Step-by-step explanation:
the width of the fence is 6 feet. Let's denote the length of the rectangular fence as "L" and the width as "W." According to the problem, we have two pieces of information:
1. The total length of fencing available is 44 feet, which means the perimeter of the rectangle (the sum of all sides) should be 44 feet. The formula for the perimeter (P) of a rectangle is P = 2L + 2W.
2. The width is two less than half the length, which can be written as: W = (1/2)L - 2.
Now, we can set up an equation using this information and solve for the values of L and W:
First, we have the perimeter equation:
2L + 2W = 44
Now, we can substitute the expression for W from the second piece of information:
2L + 2((1/2)L - 2) = 44
Now, simplify and solve for L:
2L + (L - 4) = 44
Combine like terms:
3L - 4 = 44
Add 4 to both sides:
3L = 48
Now, divide by 3:
L = 48 / 3
L = 16
Now that we've found the length (L), we can find the width (W) using the second piece of information:
W = (1/2)L - 2
W = (1/2)(16) - 2
W = 8 - 2
W = 6
So, the width of the fence is 6 feet.
To know more about width:
#SPJ3
Answers
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3
Answers
Answer:
the answer is 8a
Step-by-step explanation:
becuase the numbers are simply being added, you can just add 3+5.
for example, say a=3
3(a)+5(a)=3(3)+5(3)
9+15=24
but 3+5(a)=8(a)
8(3)=24
Answer:
8a2
Step-by-step explanation:
Answers
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)
Answers
Answer:
i say it is C if not then B
Step-by-step explanation:
Answers
Given:
Principal, P = $5000
Interest rate, R = 8% = 0.08
Time, T = 2 years
Let's fnd the toatal amount of interest.
To find the interest, apply the simle interest formula:
Hence, we have:
Therefore, the total amount of interest is $800.
ANSWER:
$800