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

3 years ago

Find the equation of a line that passes through the point (0,-4) and has a gradient of 2. Leave your answer in the form y=mx+c

OLga [1]

Answer:

y=2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-0)

y+4=2x-0

y=2x-0-4

y=2x-4

3 0

1 year ago

Solve for c . ab - c = 9

Nesterboy [21]

Hi

ab - c =9
Solve for c
-c = 9 - ab
Divide both sides by -1
-c/-1 = 9-ab/-1
c = -9 + ab

Good luck !

5 0

2 years ago