Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
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Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
Answer:
1 Multiply the first equation by -1 then add the equations together
3. Multiply the second equation by -1 then add the equations together
4. Multiply the first equation by -2 then add the equations together
5. Multiply the first equation by 2 the second by -1 then add the equations together
Step-by-step explanation:
x+y = 7
2x+y = 5
1 Multiply the first equation by -1 then add the equations together
-x+-y = -7
2x+y = 5
---------------
x =-2 then solve for y
2. Multiply the second equation by -1 first equation by -1 then add the equations together
-x+-y = -7
-2x-y = -5
---------------
-3x -2y = -12
Still have both variables
3. Multiply the second equation by -1 then add the equations together
x+y = 7
-2x-y =- 5
----------------------
-x = 2
4. Multiply the first equation by -2 then add the equations together
-2x+-2y = -14
2x+y = 5
--------------
-y = -9
5. Multiply the first equation by 2 the second by -1 then add the equations together
2x+2y = 14
-2x-y = -5
--------------
y = 9
Maybe try dividing by 300 and timesing by 1000?
Answer:
-6 ≤ x < ∞
Step-by-step explanation:
You want the domain of the function y = √(x+6) -7.
<h3>Domain</h3>
The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.
The square root function is undefined for negative arguments, so that limits the domain of the given function:
x+6 ≥ 0
x ≥ -6 . . . . . domain of the given function
__
<em>Additional comment</em>
When the domain is written in interval notation, both the left and right ends of the interval must be specified.
[-6, ∞)
The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.
Answer:
C, He got that answer by thinking that the question was asking how much Mr.McClary's class made
Step-by-step explanation:
Mrs.Shen Raised $120
Mr. McClary raised $60 (50% of 120)
120
+<u>60</u>
180