Answer:
2x - y = - 5
Step-by-step explanation:
First obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← in slope- intercept form
The equation in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Subtract y from both sides
0 = 2x - y + 5 ( subtract 5 from both sides )
- 5 = 2x - y, that is
2x - y = - 5 ← in standard form
The answer is 1.
If you put -1 instead of x, then you can get 1.
2(-1)+3=y
-2+3=y
1=y
9514 1404 393
Answer:
5 cubic feet
Step-by-step explanation:
The volume is the product of the dimensions.
V = LWH
V = (5/2 ft)(3/2 ft)(4/3 ft) = (5·3·4)/(2·2·3) ft³ = 5 ft³
The volume of the prism is 5 cubic feet.
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
Answer:
The equation of the line that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2
Step-by-step explanation:
We can rewrite the original equation as y=-2x+1
To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2
So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:
y=1/2x+b
3=1/2(1)+b
3=1/2+b
5/2=b
Therefore, your final equation is y=1/2x+5/2