Step-by-step explanation:
Remember that in a linear function of the form 
, 
is the slope and 
is the why intercept.
Part A. Since 
, its slope is 2 and its y-intercept is 6
Now, to find the slope of 
we are using the slope formula:
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
From the table the first point is (-1, -12) and the second point is (0, -6)
Replacing values:
The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).
Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table 
when 
; therefore the y-intercept of is -6.
We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
Car A: 3x + 6
Car B: 4x+8
Step-by-step explanation:
total: 7 (x+2)
Which of the following statements is true?
Answer:
D. the segment bisects segment EC
Step-by-step explanation:
Bisect Means to cut or divide into two equal or nearly equal parts
And Looking in the Attach We Can See that the triangle is Cut into 2 pieces
Hope this helps!
Answer:
Is this for math or History?
Step-by-step explanation:
