<span>f(x) = (x – 4)(x + 2),
x-intercept means that f(x) = 0.
0 = (x-4)(x+2)
(x-4)=0, x= 4, point (4,0)
(x+2)=0, x = -2, point (-2,0)
This graph has 2 x-intercepts: (4,0) and (-2,0).
From given answers we can choose only </span>(-2,0).
Answer:
The number of wreaths Alaina sells is 9 .
Step-by-step explanation:
As given
Alaina is selling wreaths and poinsettias for her chorus fundraiser.
Wreaths cost $27 each poinsettia cost $20 each.
If she sold 15 poinsettias and made $543.
Let us assume that the number of wreaths Alaina sells = x
As the number of poinsettias Alaina sells = 15
Than the equation becomes
27x + 15 × 20 = 543
27x + 300 = 543
27x = 543 - 300
27x = 243
x = 9
Therefore the number of wreaths Alaina sells is 9 .
Answer:
n = 5,000 - 12t
Step-by-step explanation:
Sam is handing out advertisements for an upcoming event.
No of advertisements = 5000
No of advertisements per minute is 12.
We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.
5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :
n = 5,000 - 12t
Hence, the correct option is (d).
Answer:We DO NOT HAVE ALL THE INFORMATION needed to solve for how many licenses each central office department will get.
Step-by-step explanation:
Now, if this very individual acquired about 300 program licenses and 50 licenses are taken or conveyed to the departments in the satellite office of the same organization, then the number of licenses that will be moved to the central office is:
300 - 50
= 250 licenses.
This implies that 250 licenses will be moved to the central office while 50 licenses will be kept/used at the satellite office.
Then, if there are eight (8) departments in the central office of this organization and 250 licenses will be evenly or equally distributed among the departments, each department will get:
250/8
= 31.25 licenses.
Since dividing 250 by 8 does not give a perfect integer, then there's an information we are yet to be furnished with. If 31 is multiplied by 8, it will give 248 which means that 2 licenses will be the remainder. If these 2 remaining licenses are shared equally between the 8 departments, one department will further get quarter of a license and we know licenses can't be shared or used in this manner.
Alternatively, of the 2 licenses remaining, two departments will have an extra license or one of the departments will have the 2 licenses which will now make the license distribution in the central office uneven.
So, we don't have all the information we need to solve for how many licenses each central office department will get.
