Answer:
• zero: -4, -4/3, 7
• positive: -4 < x < -4/3 . . . or 7 < x
• negative: x < -4 . . . or -4/3 < x < 7
Step-by-step explanation:
Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.
The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)
Three of those statements are true.
The only one that is NOT correct is:
<span>Any quadrilateral with one right angle is a rectangle.
</span>
Step-by-step explanation:
we don't see the complex numbers.
so, we cannot check their distances.
a suspicion, though.
sqrt(45) a distance between 2 complex numbers is
sqrt(a² + b²).
so,
a² + b² = 45
a nice combination of whole square numbers would be 6 and 3.
6² + 3² = 36 + 9 = 45
if that is the case, then that would mean one of the following committed numbers
6 + 3i
3 + 6i
-6 + 3i
6 - 3i
-6 - 3i
-3 + 6i
3 - 6i
-3 - 6i
one of these numbers must be the result of the subtraction of the 2 provided complex numbers.
remember
(a + bi) - (c + di) = a-c + (b-d)i
<span>8.42 x 10^3
</span>Use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Solve exponent first
<span>8.42 x 10^3
</span>8.42 x 1000
Solve the rest
8.42 x 1000
8420
8420 is between
D.) 8400 and 8500
