For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the graph, we place two points through which the line passes:
We found the slope:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find the cut-off point:
Finally, the equation is:
ANswer:
Answer:
14
Step-by-step explanation:
Given: x : y = 5: 3
Therefore, let x = 5a and y = 3a
x + y = 56
5a + 3a = 56
8a = 56
a = 56/8
a = 7
x = 5*7 = 35
y = 3*7 = 21
Therefore,
x - y = 35 - 21 = 14
Three consecutive even integers are 20, 22 and 24
<em><u>Explanation</u></em>
Suppose, the three consecutive even integers are and
Given that, sum of first and third integers is 22 less than 3 times the second integer. So, the equation will be....
So, the first integer is 20, the second integer is (20+2)= 22 and the third integer is (20+4)= 24
Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
Answer:
w
Step-by-step explanation:
w is the answer