Answer:
um, i think its d
Step-by-step explanation:
f(x) = (3/4)ˣ - 4
As x gets really negative (3/4)ˣ grows positively without bound (because it's (4/3)⁻ˣ and 4/3 > 1).
As x gets really positive (3/4)ˣ tends to zero but never quite gets there.
So (3/4)ˣ > 0 for all x
So f(x) > 0 - 4 for all x
Answer: { y | y > -4 }, first choice
Step-by-step explanation:
let w = width
length = 3w-2
perimeter = 2*length + 2*width
perimeter = 2(3w-2) + 2w
perimeter = 6w - 4 + 2w
perimeter = 8w - 4
perimeter = 124 inch
8w - 4 = 124inch
<em>+4 to each side</em>
8w = 128inch
<em>divide each side by 8</em>
w = 16
length = 3w-2
= 3(16) - 2
length = 46 inch
The answer would be D. 32
Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal.
Therefore, angle C is also 74°.
The sum of the interior angles of a triangle is equal to 180°.
Thus,
180° = ∡A + ∡B + ∡C
180° = 74° + ∡B + 74°
180° = 148° + ∡B
∡B = 180° - 148°
∡B = 32°
Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.