The correct answer is B)
Writing the sequence numerically, we have 4, 7, 10, ...
This is an arithmetic sequence, since there is a constant, 3, added each time. This gives us the explicit formula
Using the distributive property, we have
Combining like terms, we have
Hey there! :)
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
For any polynomial, first check to see if it factors. Then you can set each factor equal to zero.
The three zeros are -1,1,3
Next plug in values in each interval between zeros to test whether its greater than 0.
Try x values: -2,0,2,4
x = -2 yields a negative result, the interval x< -1 is Not a solution.
x = 0 yields a positive result, the interval -1
x = 2 yields a negative result, the interval 1
x = 4 yields a positive result, the interval x>3 IS a solution
9 yards would be a good estimate for the distance across the pond.
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
