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2 years ago

What can you say about the end behavior of the function f(x)=-4^6+6x^2-52 ????

1 answer:

3 0

Letter C is correct.
When the function is even, (all powers are even) both ends will go in the same direction.
In this case since the leading coefficient is negative, both ends will go down.

You might be interested in

the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l

Alexxandr [17]

It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

$\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in$

$\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in$

You can after that round the length to be 22.517 in

Hope you got the idea

3 0

2 years ago

Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .

mixas84 [53]

Answer:

x=7.5

y=1.5

Step-by-step explanation:

$x + y = 9.0$

subtract x from both sides

$y=9-x$

$0.50x + 0.20y= 4.05$

$0.50 x +0.20(9-x)= 4.05$

$0.50x+1.8-0.2x= 4.05$

combine like terms

$0.30x+1.8= 4.05$

subtract 1.8 from both sides

$0.30x=2.25$

divide both sides by 0.3

x=7.5

$y=9-x$

$y=9-7.5$

y=1.5

4 0

2 years ago

If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF

Dmitrij [34]

Hello,
We have that:
(4x+10)+(2x-1)=9x-15

We solve the equation:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;

from which
x=24:3=8

Then:
DF=9x-15=(9×8)-15=72-15=57

bye :-)

5 0

2 years ago

Read 2 more answers

Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa

AURORKA [14]

Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles

Solution:

Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip

He flew 2,567 miles from California to Hawaii during the second part of his trip

Therefore,

first part of his trip = 3547 miles

second part of his trip = 2567 miles

Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:

difference = first part of his trip - second part of his trip

difference = 3547 - 2567 = 980

Therefore, the difference in number is 980 miles

4 0

2 years ago

Andrew invested $20,000 in mutual funds and received a sum of $35,000 at the end of the investment period. Calculate the ROI.

mario62 [17]

Answer: $15,000

As $35,000-$20,000=$15,000.

That's basically the profit he had made, or the return on his investment (ROI).

As he already had $20,000, he had "only" made $15,000.

5 0

2 years ago