Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
86.5 square inches
Step-by-step explanation:
Area of circle: pi*r^2
10.5in /2= 5.25in
5.25^2=27.5625
27.5625*3.14=86.54625
rounded 86.5 in
There were 300 jelly beans in the bag. that includes the green ones.
Answer:
16/15
Step-by-step explanation:
Simplify the following:
8/3 - 8/5
Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:
(5×8)/15 + (3 (-8))/15
5×8 = 40:
40/15 + (3 (-8))/15
3 (-8) = -24:
40/15 + (-24)/15
40/15 - 24/15 = (40 - 24)/15:
(40 - 24)/15
| 3 | 10
| 4 | 0
- | 2 | 4
| 1 | 6:
Answer: 16/15
The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.
According to the statement
we have given some data in the form of graph according to the velocity per time and we have to find the relationship between the velocity and time.
So, for this purpose,
we know that the best method show the relationship is a slope intercept form.
So,
The slope intercept form is a the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
And
Using the coordinate points on the plane (0, 6) and (10, 28)
now we Determine the slope
Slope = 28-6/10-0
Slope = 22/10
Slope = 2.2
And then Determine the y-intercept
6 = 2.2(0) + b
b = 6
And now we have to put in the general form of the slope intercept form which is y = mx + b
Then the equation become
y = 2.2x + 6
So, The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.
Learn more about slope intercept form here
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