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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.

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Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)

dlinn [17]

The area of the triangle is 14.1 square meters

<h3>How to determine the triangle area?</h3>

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

$Area = \sqrt{s(s -a)(s-b)(s-c)$

This gives

$Area = \sqrt{10 * (10 -5)(10-6)(10-9)$

Evaluate the products

$Area = \sqrt{200$

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

Read more about areas at:

brainly.com/question/27683633

#SPJ1

4 0

2 years ago

Given: 5n - 42 = 12n; Prove: n= -6<br> What are the Statements<br> What are the Reasons

asambeis [7]

Answer:

-72=-72

Step-by-step explanation:

5n-42=12n

n=-6

5*(-6)-42 = 12*(-6)

-30-42=-72

-72=-72

So, n= -6 is the right number for this equation

4 0

3 years ago

Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

Find tue volume of following

kompoz [17]

Whereas the basic formula for the area shape is length x width the basic formula for volume is length x width c height

4 0

2 years ago

Find the probability that a randomly

Alina [70]

Answer:

$31.8\%$

Step-by-step explanation:

The area of the circle is $A=\pi r^2=\pi(4)^2=16\pi$

The area of the triangle is $A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16$

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is $\frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%$

6 0

2 years ago