
dividing both sides by -4, we get:

this means, each term is its previous term divided by -4.
now we can construct the sequence as follows:




Answer: the last term is -1/32
Answer:

Step-by-step explanation:
<u>System Of Equations
</u>
We know the scale shows a false reading for the weights by a constant value. Let's call e the weight it adds or subtracts from the real weight it measures.
When the box is put on the scale, the real weight is b, but the scale shows

When the bag is weighted, the real value is g, but the scale shows

Finally, when both are measures, the real weight is b+g and the scale shows

We have formed a system of equations. It's easy to find the value of b, we just need to subtract the last two equations


Answer: Second option.
Step-by-step explanation:
As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.
You need to use the Pythagorean Theorem to solve this exercise. This is:

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for one of the legs, you get the following equation:

In this case, you can identify in the figure that:

Finally, you must substitute these known values into the equation
and then evaluate in order to find the value of "x". You get that this is:

0 is the y interception because that is where the line goes through on the graph
Answer: -4 and -2
Step-by-step explanation:
No need to explain, it is a fairly simple question.