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3 years ago

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

This is a quartic equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

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Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

3 years ago

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.

How far are Ava's feet from the balloon?

Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

$height = 8ft$

$distance = 15ft$

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

$x^2 = 8^2 + 15^2$

$x^2 = 64 + 225$

$x^2 =289$

Take square roots of both sides

$x = \sqrt{289$

$x = 17$

6 0

3 years ago

What is the value of x in this equation? Enter your answer in the box.

katrin [286]

Answer:

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

3×10^x=3×10^6

10^x=10^6

*when bases are same ,powers are equated*

thus x=6

4 0

2 years ago

PLEASE HELP IM GIVING 5 STAR RATINGS

erica [24]

Answer:

a. 5 + 2m

b. 5m

c. 40m + 35

Step-by-step explanation:

5 0

2 years ago

An expression is shown:<br> 32 ÷ 4 <br><br> What is the quotient expressed as a fraction?

harina [27]

Answer:

32/4

simplified is 8/1

Step-by-step explanation:

3 0

2 years ago