Answer:
x=4/3 , x=-5/2
Step-by-step explanation:
6x^2 +7x=20
6x^2+7x-20=0
(3x−4)(2x+5)
3x-4=0 , 2x+5=0
3x=4 , 2x=-5
x=4/3 , x=-5/2
Answer:
<u><em>k = 0.2645</em></u>
Step-by-step explanation:
Given model:
y = 4070 
y = no. of hits website received = 9000 (in 3rd month)
t= no. of months website has been operational = 3
put in the above equation:
9000 = 4070 
= 
=
<u><em>Taking natural logarithm on both sides, we get:</em></u>
=
= 3k ln<em>e</em>
ln<em>e</em>=1
= 3k
or k = 

k =
(0.7936)
<em>k = 0.2645</em>
<em />
Answer:
1/6<1/4
Step-by-step explanation:
1/4 is .25 and is 0.166666667
Answer:
11 tickets
Step-by-step explanation:
1. write an equation:
First, variable x symbolizes the number of adults who bought tickets. And variable y symbolizes the number of students.
If each adult paid $6, and each student paid $4, and the total dollars you've collected is 104, this is how we'll write our equation:
6x + 4y = 104
2. we can write another equation based on this information: "You sold 21 tickets". Which concludes that the number of tickets adults and students had paid for equals the number of tickets you've sold:
x + y = 21
3. now, we've got two equations. Let's compensate:
x + y = 21
x = 21 - y
6x + 4y = 104
6 (21 - y) + 4y = 104
126 - 6y + 4y = 104
-6y + 4y = -22
-2y = -22
y = -22 / -2
<u>y = 11</u>
So the number of student tickets is <u>11</u>.
The distance between the two points is 5.4
Explanation:
The points are (-1,-9) and (1,-4)
The distance between the two points can be determined using the formula

Substituting the values in the formula, we get,

Adding the values,

Squaring the terms, we get,

Simplifying, we have,

Thus, the distance between the two points is 5.4