The answer to the inequality is expressed as x< 1 and x< -4
<h3>What are inequalities?</h3>
Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
Learn more about inequalities here:
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True.
3 x 5 = 15
4 x 5 = 20
Therefore, 3:4 = 15:20
it is True
hope this helps
Answer:
C. 10in 24in 26in
Step-by-step explanation:
Right Scalene Triangle
Side a = 24
Side b = 10
Side c = 26
Angle ∠A = 67.38° = 67°22'48" = 1.17601 rad
Angle ∠B = 22.62° = 22°37'12" = 0.39479 rad
Angle ∠C = 90° = 1.5708 rad = π/2
Area = 120
Perimeter p = 60
Semiperimeter s = 30
Height ha = 10
Height hb = 24
Height hc = 9.23077
Median ma = 15.6205
Median mb = 24.5153
Median mc = 13