Answer:
The value of x would be 20
Step-by-step explanation:
To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.
40 + 3x + 4x = 180
40 + 7x = 180
7x = 140
x = 20
Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
1) 
2) 
3) 
4) 
Step-by-step explanation:
The quadratic formula is given by:
We can use this formula in order to solve the following equations:
1. x^2 − 2x = 12 → a = 1, b = −2, c = −12
For this case if we apply the quadratic formula we got:
2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2
For this case if we apply the quadratic formula we got:
3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7
For this case if we apply the quadratic formula we got:
4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9
For this case if we apply the quadratic formula we got:
