The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
<h3>Dividing polynomials</h3>
From the question, we are to divide the given polynomial P(x) by the divisor d(x)
From the given information,
P(x) = x³ + 8
d(x) = x + 2
The division operation is shown in the attachment below.
The quotient, Q(x) = x² -2x + 4
and the remainder, R(x) = 0
We area to express P(x) in the form
P(x) = d(x).Q(x) + R(x)
Thus, we get
x³ + 8 = (x+2)(x² -2x + 4) + 0
Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
Learn more on Dividing polynomials here: brainly.com/question/27601809
#SPJ1
Answer: (the function is 8^X, not 8X.)
Step-by-step explanation:
X = 1 8^X = 8
X = 2 8^X = 64
X = 3 8^X = 512
X = 4 8^X = 4096
The probability that she selected a white tile or a tile with an even number will be 9/20.
<h3>How to calculate the probability?</h3>
The probability simply means the act of choosing an event based on the likely occurence.
In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.
Therefore, the correct option is D.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Solution:
Given equation: h = -0.5x² + x + 12
h = 0.5
-0.5x² + x + 12 = 0.5
-0.5x² + x + 11.5 = 0
Find the roots of quadratic equation.
x = ((-b )+- √(b² - 4ac))/2a
= ((-1 )+- √(1² - 4*(-0.5)*(11.5)))/2(1)
= -3.9, 5.9
The distance will not be negative.
Hence, the distance is 5.9.
Answer:
74.6 m
Step-by-step explanation:
First look at the rectangle, which is 15 meters wide horizontally and 18 meters long vertically. This rectangle contributes 2(18 m) + 15 m to the perimeter (the 15 m side is the bottom of the figure). That comes to 2(18) m + 15 m, or 51 m.
Next, look at the semicircle. Its diameter is 15 m and thus its total circumference is approximately (3.14)(15 m), or 47.1 m. We take only half of this circumference in calculating the perimeter of this figure: 23.6 m.
The total perimeter of this figure is 23.6 m + 51 m, or approximately 74.6 m.
