To determine the answer it would be helpful if we write this equation into the slope intercept form which is expressed as:
y = mx+b
<span> y−2x=816
y = 2x + 816
4x=2y
y = 2x
We can see that the slope of the two equations are the same. Therefore, they are parallel which means they do not intersect. The correct answer is the third option, there is no solution.</span>
The heavy suitcase.
A small car would still weigh quite a lot, a tablet would weigh a lot less than that, and a watermelon is around 2kg (depends).
Answer:
The exponential model is 
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that 
and 
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of 
:
And by (2), we determine the value of 
:
The exponential model is .
Answer:
y = -4
Explanation:
The initial expression is:
-13 = 4y + 3
So, we need to substract 3 from both sides of the equation:
-13 - 3 = 4y + 3 - 3
-16 = 4y
Then, dividing both sides by 4, we get:
-16/4 = 4y/4
-4 = y
Therefore, the solution of the system is y = - 4.
This is a standard relationship/systems of equations question. Here is how you attack it. Firstly, set up equations to represent the relationships. Ed = 4*Kim That shows that Ed has four times as many pins as Kim. Next, we see that the two have 25 together. So: Ed + Kim = 25 Now we have our two equations. In order to solve, we need to get one of the equations down to one variable. We can achieve this via substitution. The first equation tells us that we can substitute 4*Kim for Ed (in the second equation). So, let's do just that: 4*Kim + Kim = 255*Kim = 25Kim = 5 Using the first equation again, we can solve for Ed: Ed = 4*KimEd = 4*(5)<span>Ed = 20</span>
