1. Remove parentheses
-3x^2 + x^4 + x + 2x^4 - 7 + 4x
2. Collect like terms
-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7
3. Simplify
-3x^2 + 3x^4 + 5x - 7
Answer:
Kindly check explanation
Step-by-step explanation:
Relative frequency = frequency / total frequency
Total frequency = 30
Outstanding = 14 / 30 = 0. 467 = 46.7%
Very good = 10/30 = 0.333 = 33.3%
Good = 5 / 30 = 0.167 = 16.7%
Average = 1 / 30 = 0.0333 = 3.3%
Poor = 0
_______Rating : frequency : R/ frequency
Outstanding _____ 14 _______0.467
Very good _______10 _______0.333
Good ___________ 5 _______ 0.167
Average _________ 1 _______ 0.033
Poor ____________ 0 _______ 0
Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ±
) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
To find the slope,we can use the point-slope form:

Where m is the slope.
In this case,the equation would be:
-9-2 = m(1-(-3))
-11 = m(1+3)
-11 = 4m
m = -11/4
Therefore the slope is -11/4.
Hope it helps!
Answer:
A
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Thus each interior angle = 720° ÷ 6 = 120° and therefore
3x = 120 ( divide both sides by 3 )
x = 40 → A