Answer:
The answer to your question is below
Step-by-step explanation:
Functions
f(x) = 12x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
f⁻¹(-2) = -4
b) f(-4) = 12x
f(-4) = 12(-4)
f(-4) = -48
c) f(f⁻¹(-2)) =
f(f⁻¹(x)) = 12(2x) = 24x
f(f⁻¹(-2)) = 24(-2) = -48
I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
= -4
b) f(-4) = 1/2(-4)
= -2
c) f(f⁻¹(x)) = 1/2(2x)
= x
f(f⁻¹(-2)) = -2
1) (2i-4)-(6i+9) = 2i-4-6i-9 = -4i-13
2) (-3+8i)+(3-8i) = -3+8i+3-8i = 0+0i = 0
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle = 
bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle = × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:
32.02
Step-by-step explanation:
The number that is in the hundredths place is five. You can remember this by knowing that the decimal point counts as one and all the number to the right of the decimal point count as zero. So 0 is in the tenths place, 1 is in the hundredths place, 5 is in the thousandths place, 6 is in the ten thousandths place and so on. So if you round this number to the nearest hundredth, you'll get 32.02 because if you're rounding a number and the number you're rounding with (knowing that the number you're rounding will always be rounded with the number to the right of it) is 5 or greater than 5, that number that you have to round will go up one unit.
I hope this helped!
First, we determine that the given equation in this item
is a linear equation. Thus, it should be a straight line. With this, we are
left with the third and fourth choice. Then, we substitute the given data
points to the equation and see if the points satisfy the given.
Choice 3:
<span> (1,3) :
(-5)(1) + (2)(3) = 1 TRUE</span>
<span> (3,8) :
(-5)(3) + 2(8) = 1 TRUE</span>
<span> (-3,-7)
: (-5)(-3) + (2)(-7) = 1 TRUE</span>
Choice 4:
<span> (4,-3) :
(-5)(4) + (2)(-3) ≠ 1 FALSE</span>
<span> (-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE</span>
<span> (-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE</span>
<span>Thus, the answer is the third choice.</span>
