Answer:
2x⁴ + x³ - 3x² - 4x + 2
4
Step-by-step explanation:
Given functions:
f(x) = 2x⁴ - 3x² - 2x + 5
g(x) = x³ - 2x - 3
Unknown:
Sum of the polynomials = ?
Order of the sum = ?
Solution:
The sum of the polynomial is expressed as;
f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 + x³ - 2x - 3
= 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3
= 2x⁴ + x³ - 3x² - 4x + 2
The order of the sum is the highest power which 4.
This polynomial is of the 4th order.
If you arrange this properly in the slope intercept form (y=mx+b) so just make it arranged in this format.
4x-7y=-28
Subtract 4x
-7y=-28-4x
Rearrange.
-7y=-4x-28
Divide by -7
y=4/7x+28
The number next to x is your slope and the other number is your y-intercept.
75n-36=21n^2 rearrange so we have an equation equal to zero...
21n^2-75n+36=0 divide whole equation by 3
7n^2-25n+12=0 now factor...
7n^2-21n-4n+12=0
7n(n-3)-4(n-3)=0
(7n-4)(n-3)=0
Since this is an integer 4/7 is extraneous.
The integer value is 3
Answer:
A. 16.8 in³
B. 28.3 m³
C. 65.4 in³
Step-by-step explanation:
The volume of a cone is given as:
V = ⅓ * pi * r² * h
Where r = radius of base of cone
h = height of cone
A. Radius = 2 inches, height = 4 inches
It's volume is:
V = ⅓ * pi * 2² * 4
V = 16.8 in³
B. Diameter of 6 m, and a height of 3 m
It's diameter is 6 m, therefore, it's radius is:
r = d / 2 = 6 / 2 = 3 m
It's volume is:
V = ⅓ * pi * 3² * 3
V = 28.3 m³
C. Diameter of 5 in, and a height of 10 in
It's diameter is 5 in, therefore, it's radius is:
r = d / 2 = 5 / 2 = 2.5 m
It's volume is:
V = ⅓ * pi * 2.5² * 10
V = 65.4 in³
Answer:
You will find it.
Explanation:
Replace the X value in each answer's formula with the table's value, then find the answer.
Ex: A. y = 4x + 4
if x = -1
=> y = 4.(-1) + 4 = 0 (not match y value in the table) => the answer is not A
