The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answers
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
To know more about an equation of the line follow
https://brainly.com/question/18831322
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Related Questions
A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?
Answers
Answer:
$22.5
Step-by-step explanation:
You will pay $22.5 for a item with original price of $30 when discounted 25%.
Answer:
Refer to explanation
Step-by-step explanation:
The screenshot you put is the correct answer, here's another method to get the same answer:
Find what 25% is.
100% = 30
1% = 30 ÷ 100 = 0.30
25% = 0.30 x 25 = 7.50
Find the price after the 25% discount.
100 - 25 = 75
75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)
Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7
Answers
Answer:
-50v - 49
Step-by-step explanation:
Just distribute you can even use a calculator
Find the slope of the line through each pair of points.
(3,-10), (14,-10)
Answers
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -10)
Point (14, -10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-10+10}{14-3}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{0}{11}[/tex][Fraction] Divide: [tex]\displaystyle m=0[/tex]Geometry Will give Brainlist
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Given :
segment AE and segment BD bisect each otherWhich means :
∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .
Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.
Answers
Answer:
x = 2 and y = -3
Step-by-step explanation:
The given equations are:
2x - 3y = 13 ...(1)
x + 2y = -4 ...(2)
Multiply equation (2) by 2.
2x + 4y = -8 ...(3)
Subtract equation (3) from (1).
2x - 3y-(2x + 4y) = 13-(-8)
2x-3y-2x-4y = 13+8
-7y = 21
y = -3
Put the value of y in equation (2).
x + 2(-3) = -4
x-6=-4
x = 6-4
x = 2
So, the solution of the given equations are x = 2 and y = -3.
What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.
Answers
Answer: Add 2 to each side
Step-by-step explanation:
9m-2=16
+2 +2
9m=18
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Answers
Answer:
[tex]8 - 10 = -2[/tex]
[tex]-20 - 10 = -30[/tex]
[tex]-2 - (-19) = 17[/tex]
[tex]-25 -35=-60[/tex]
Step-by-step explanation:
(a)
[tex]8 - 10[/tex]
Rewrite as addition:
[tex]8 - 10 = 8 + (-10)[/tex]
[tex]8 - 10 = -2[/tex]
(b):
[tex]-20 - 10[/tex]
Rewrite as addition:
[tex]-20 - 10 = -20 + (-10)[/tex]
[tex]-20 - 10 = -30[/tex]
(c)
[tex]-2 - (-19)[/tex]
Rewrite as addition:
[tex]-2 - (-19) = -2 +19[/tex]
[tex]-2 - (-19) = 17[/tex]
(d)
[tex]-25 -35[/tex]
Rewrite as addition:
[tex]-25 -35=-25 +(-35)[/tex]
[tex]-25 -35=-60[/tex]
The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.
By how much was the price discounted?
Answers
Answer:
40%
Step-by-step explanation:
Discount price = 22 - 13.20 = $8.80
Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]
= 40%
7 4 9 as an improper fraction
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shehsjwhwbsvwhwhw
Last month, sales were £180 000.
This month, sales reached £196 200.
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The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm
Answers
Answer:
length= 3.7 ft.
Step-by-step explanation:
T= (square root of length) * k
1.8 seconds = (square root of 3) * k
k= 1.8 seconds / (square root of 3)
a.) T= (square root of 11) k
substituting k:
T=(square root of 11) * 1.8 seconds / (square of 3)
T= 3.4 seconds
b.) 2 seconds = (square root of length) k
substituting k:
2 seconds =(square root of length) 1.8 seconds / (square root of 3)
Divide the equation by 1.8 seconds / (square root of 3):
2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)
10(square root of 3) / 9 = (square root of length)
square both sides:
100/7 ft= length
length= 3.7 ft.
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Answers
Answer:
= 4 0
Step-by-step explanation:
/ 1 0 + 8 =1 2
/1 0+ 8 − 8 = 1 2 − 8
SIMPLIFY
1 0 = 4
Multiply all terms by the same value to eliminate fraction denominators
1 0 = 4
1 0 ⋅ /1 0= 1 0 ⋅ 4
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Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
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Answers
67Answer:67
Step-by-step explanation:
So we just need to find the derivative of the function.
A linear equation should be easily found by:
(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5
Taking the derivative with respect to x:
dy/dx = 2
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A.(−3,−2)
B.(3,2)
C.(2,2)
D.(3,3)
Answers
Answer:
B.(3,2)
Step-by-step explanation:
Point translated from A(1,2) to B(4,4).
This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).
If a point C at (0,0) is translated in the same way, what will be its new endpoints?
0 + 3 = 3
0 + 2 = 2
So
B.(3,2)
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Step-by-step explanation:
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A. 29 - n = 41
B. 29 - n = 40
C. 29 + n = 41
D. 29 + n = 40
Answers
Answer:
C
Step-by-step explanation:
Trevon started with $29.
After cleaning, his total rose to $41.
Since he received money, we add that amount (n) to his initial amount of money ($29), to equal his total amount ($41)
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Step-by-step explanation:
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Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
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Answers
Answer:
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Step-by-step explanation:
if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer
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Answer:
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Step-by-step explanation:
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Answers
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