14. 43=5+2n
15.(178-n)*18=678
16.26n-38n=24
17.2n+44=132
Hey there! I'm happy to help!
In the quadratic formula, the discriminant is square rooted. In this formula you have a ± before this radical. If the discriminant is positive, the solution can be either subtracting or adding the number, so there are 2 real solutions.
If it is 0, subtracting or adding are the same, so there will be just one solution.
You cannot have a negative square root. It is impossible with real numbers, so there are no real solutions.
I hope that this helps! Have a wonderful day! :D
Answer:
0
Step-by-step explanation:
anythibg times zero equals 0
Answer:
Step-by-step explanation:
If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).
Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6
The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...
y = 1.6x
Answer:
Step-by-step explanation:
Given:
The original function is given as:
The above function is stretched vertically by a factor of 2 to form the graph of 
.
According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:
Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.
Here, the the value of 'C' is 2. So, the equation of is given as:
![g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8](https://tex.z-dn.net/?f=g%28x%29%3D2f%28x%29%5C%5Cg%28x%29%3D2%5B2%283%29%5E%7Bx%2B1%7D%2B4%5D%5C%5Cg%28x%29%3D4%283%29%5E%7Bx%2B1%7D%2B8)
Therefore, the equation of is .
