1, when you factor you get 6x(x^2-1)+4(x^2-1)=
18/20 and 27/30 hope this helps
The answer choice which represents the solution to the inequality as given in the task content is; x>-2 or x≤ 1.
<h3>What is the solution of the give complex inequality?</h3>
On this note, it follows that the inequalities can be solved individually as follows;
-4 < 3x +2
-6 < 3x
x > -2
Also, 3x +2 ≤ 5
3x ≤ 3
x ≤ 1.
Ultimately, the correct answer choice is; Choice C; x>-2 or x≤ 1.
Read more on complex inequality;
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Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
Answer:
The number of red pens is 20.
The number of blue pens is 4.
Step-by-step explanation:
We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.
∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.
Total number of pens in the desk drawer = 24
Now, according to question :
Number of red pens + Number of blue pens = 24
⇒5<em>x</em> + <em>x</em> = 24
⇒6<em>x</em> = 24
⇒
So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20
Number of blue pens in the drawer = <em>x</em> = 4