Answer:
6x + 12
Step-by-step explanation:
Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.
Answer:
45
Step-by-step explanation:
Subtract the numbers
(3+(8-2)). x5
[3+6)]. x5
Add the numbers
[3+6]. x5
[9]. x5
Given:
One linear function represented by the table.
Another linear function represented by the graph.
To find:
The greater unit rate and greater y-intercept.
Solution:
Formula for slope (unit rate):

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.



So, the unit rate of first function is 2.
From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.



So, the unit rate of first function is
.
Now,


And,

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)