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3 years ago

If -1 < x < 0 which of the following has the smallest value?

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer: (B) x^3

Explanation:

If you compare the graphs of

y = x^2
y = x^3
y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

You might be interested in

How can you use number patterns to find the least common factor

Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0

3 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

sergiy2304 [10]

Answer:

Step-by-step explanation:

y = 3.25x + 1.25

1.25 is y-intercept

3.25 is the slope of a graph.

If x = 0, then y = 1.25

(0, 1.25)

If x = 3, then y = 3.25(3) + 1.25 = 11

(3, 11)

4 0

3 years ago

Read 2 more answers

On a test, you earn 92% of the possible points by correctly answering 6 five-point questions and 8 two-point questions. How many

olya-2409 [2.1K]

Step-by-step explanation:

(6×5)+(8×2)=46

92℅=46points

100℅=x

criss cross

92℅x=46

92℅. 92℅

and this is the answer

8 0

3 years ago

Read 2 more answers

Branden and Pete both play running back. Branden carries the ball 75 times for 550 yards and Pete had 42 carries for 380 yards w

mars1129 [50]

Answer:

Pete runs farther per carry.

Step-by-step explanation:

Given:

Branden and Pete both play running back.

Branden carries the ball 75 times for 550 yards.

Pete had 42 carries for 380 yards

Question asked:

Who runs farther per carry ?

Solution:

First of all we find each boy's distance covered per carry:-

For Branden

Branden carries the ball 75 times for = 550 yards.

Branden carries the ball 1 time for = $\frac{550}{75} =7.34\ yard$

For Pete

Pete carries 42 times for = 380 yards

Pete carries 1 time for = $\frac{380}{42} =9.05\ yards$

As Pete runs 9.05 yards for 1 carry while Branden runs 7.34 yards for 1 carry, hence Pete runs farther per carry.

3 0

3 years ago

You are playing Monopoly with a friend. She owns and has developed Park Place and Boardwalk with hotels. If you roll an 8, you w

Mariulka [41]

Okay so this friend has a 8, 9, 10 as her options that she pays at.

8: 2,6 9: 6,3 10: 5,5
6,2 3,6 5,5
4,4
4,4

These are the possibilities of rolling these numbers. = 4 possibilities

4/11 (11 because that is the number of possibilities you get for two dice)

that leaves 7/11 possibilities of rolling and not paying!

36% lands on a spot that she pays at and about 64% possibilities of not paying.

Hope this helped!

:)

6 0

3 years ago