Use the signed numbers to solve.

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

-850 feet, -1200+800-450, Assuming that it started at 0

You might be interested in

Show that the function has at least one zero between x=1 and x=2

ANTONII [103]

Answer:

See Below.

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = 7x^5-9x^4-x^2$

And we want to show that it has at least one zero between x = 1 and x = 2.

Because the function is a polynomial, it is everywhere continuous.

Evaluate the function at x = 1 and x = 2:

$\displaystyle \begin{aligned} f(1) & = 7(1)^5 - 9(1)^4 - (1)^2 \\ \\ & = -3\end{aligned}$

And:

$\displaystyle \begin{aligned} f(2) & = 7(2)^5 - 9(2)^4 - (2)^2 \\ \\ & = 76 \end{aligned}$

Therefore, because the function changes signs from x = 1 to x = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.

7 0

2 years ago

Which equation can pair with y=3x-2 to create a consistent and independent system?

Ray Of Light [21]

Answer: y=4

Step-by-step explanation: First of all, we have to know what a consistent and independent system is.

Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent

Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.

Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.

This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.

So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.

Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.