ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
The formula to calculate the slope is the following:
The points are (-6, -9/2) and (4,3), replacing:
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
The equation is:
Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
The answer to the problem is
y=1/2x
Answer:
In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.
Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.
Let's evaluate the extremes of the interval
x = -3
g (-3) = floor (-3) -2 = -5
x = 3
g (3) = floor (3) -2 = 1
Therefore, the graph that best corresponds to the function in the given interval is the attached graph.
Step-by-step explanation:
Answer:
The answer to your question is: 14 + 2√40 = 26.6 units
Step-by-step explanation:
Data
A ( -5, 4) B (-3, -2) C (4, -2) D (2, 4)
Formula
d = √(x2 - x1)² + (y2 - y1)²
Perimeter = dAB + dBC + dCD + dAD
Process
dAB = √(-3 + 5)² + (-2 - 4)²
dAB = √(2)² + (-6)²
dAB = √4 + 36
dAB = √40 units
dBC = √(4 + 3)² + (-2 + 2)²
dBC = √(7)²
dBC = √49
dBC = 7 units
dCD = √(2 - 4)² + (4 + 2)²
dCD = √(2)² + (6)²
dCD = √40 units
dAD = √(2 + 5)² + (4 - 4)²
dAD = √49
dAD = 7 units
Perimeter = √40 + 7 + √40 + 7
Perimeter = 14 + 2√40 = 26.6 units
Answer:
x=10
Step-by-step explanation:
1) combine ALL like terms
5x-4+5x-4+3x+58=180
5x+5x+3x=13x
-4-4+58=50
13x+50=180
2) subtract both sides by 50
13x+50-50=180-50
13x=130
divide both sides by "13"
x=10
Hope this Helps!
