Answer:
Expression representing number of text messages sent on Tuesday = 2x , where x = text messages sent on Monday
Step-by-step explanation:
Let number of messages sent on Monday = x
So, number if messages sent on Tuesday = 2 times x = 2x
Number of texts sent on Wednesday = 12 more than texts sent on Tuesday = 2x + 12
Number of texts sent on Thursday = Half the texts sent on Wednesday = 1/2 (2x + 12) = x + 6
This is a vertical parabola which opens upwards
we have the general formula
(x - h)^2 = 4p(y - k) where p is the y coordinate of the focus
y/14 = x^2 - x /14 - 1/14
add 1/14 to both sides
y/14 + 1 /14 = x^2 - x /14
now complete the square
y/14 + 1/14 = x^2 - x/14 + 1/28^2
y/14 + 1/14 = (x - 1/28)^2
(x - 1/28)^2 = 1/14( y + 1)
comparing this with the general form:-
4p = 1/14
p = 1/56
so the focus is at (h,p) = (1/28, 1/56)
Answer:
x=1
Step-by-step explanation:
6/12 = x/2
Simplify the left side by dividing the top and bottom by 6
1/2 = x/2
Using cross products
2x =2
Divide by 2
2x/2 =2/2
x=1
Let's call their parts w,m and s
if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)
Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s
and m=2/3s
Again:
m+s=2w
and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w
we also know that s=w+6 (from the last sentence) so we substitute:
5(w+6)=6w
5w+30=6w
30=w
so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)
and the total was 30+36+24=90.
Answer:
Step-by-step explanation:
For f(2), the input of the function is 2.
Let x = 2.
Evaluate.
