We have
(a + b)² = a² + 2ab + b²
so that with a = x² and b = 5, we have
x⁴ + 10x² + 25 = (x² + 5)²
Next, we have
a² - b² = (a - b) (a + b)
so that with a = x and b = √5 i,
x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)
So, the complete factorization over the complexes is
(x - √5 i)² (x + √5 i)²
Answer:


Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope

The equation of the solid line in slope intercept form is equal to

we have

----> the y-intercept is the point (0,3)
substitute

therefore
The inequality is

step 2
Find the equation of the dashed line
The slope is given

From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have

substitute

therefore
The inequality is

because the shaded region is below the dashed line
therefore
The system of inequalities is


The product of 379 and 8 is 3032, that other answer was wrong they answered with the sum (addition) not the product (multiplication)
Answer:
48 cats
Step-by-step explanation:
Am interesting factoid about ratios:
The ratio
can be separated into fractional parts of
and
. We need to know the cat part.
, so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.
We will check each options and verify it
(a)

we can plug m=2



so, this is FALSE
(b)

we can plug x=3



so, this is TRUE
(c)

we can plug x=3



so, this is FALSE
(d)

now, we can plug x=2



So, this is FALSE