Conjectures are conclusions formed from evidences. Steven's conjecture that: $x^3 > 125$ is true because: $x > 5$ or $x > -5$ for $|x| > 5$

Given that:

$|x| > 5$

Split the inequality as follows:

$x > 5$ or $x > -5$

Take the cube of both sides

$x^3 > 5^3$ or $x^3 > -5^3$

Evaluate all exponents

$x^3 > 125$ or $x^3 > -125$

Steven's conjecture that: $x^3 > 125$ is true because:

$x > 5$ or $x > -5$ for $|x| > 5$

Read more about absolute inequalities at:

brainly.com/question/4688732

5 0

2 years ago

What is the volume of the right triangle prism shown

Ipatiy [6.2K]

Answer:

42cm3

Step-by-step explanation:

v = 0.5× b × h × l

= 0.5 × 4 × 3 × 7

= 42cm3

3 0

2 years ago

Hello. I need some help with Algebra. Please refer to the image. I kinda am new to this and would really appreciate an answer (:

nikitadnepr [17]

Answer: 570.

Step-by-step explanation:

3 0

2 years ago

The equation D= 13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the

schepotkina [342]

Answer:

The density approaches infinity

Step-by-step explanation:

Notice that you are in the presence of a quotient between a fixed number in the numerator 913), and a number in the denominator with is reducing approaching zero.

The smaller the denominator , the largest the quotient, so as the denominator approaches a very small number, the quotient becomes enormous.

7 0

2 years ago