Answer:
D. n= 0 or n= 4/5
Step-by-step explanation:
Factor and set each factor equal to zero.
n
=
0
,
4
5
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n
=
0
,
4
5
Decimal Form:
n
=
0
,
0.8
The baker needs to use 100/3 pounds of 90% chocolate to make the cake.
<h3>
Equation </h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 90% chocolate. Using equation:
100 * 70% + x * 90% = (x + 100) * 75%
100 * 0.7 + 0.9 * x = (x + 100) * 0.75
70 + 0.9x = 0.75x + 75
x = 100/3
The baker needs to use 100/3 pounds of 90% chocolate to make the cake.
Find out more on Equation at: brainly.com/question/22688504
Answer:
Option (2)
Step-by-step explanation:
Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.
NP = N'P'
Coordinates of N → (5, 9)
Coordinates of P → (7, 9)
Formula of distance between two points
and
is,
d = 
By this formula length of NP = 
= 2 units
Therefore, Option (2) will be the correct option.
Answer:
4x^3 - 3x^2 - 14x + 6 (this is the formula since we don't know x)
Step-by-step explanation:
[(4x-2) x (x^2 - 3)] - [(x+2) x (x)] = 4x^3 - 3x^2 - 14x + 6
Since it is x^3 cubed it has 3 maximum roots
by the zero multiplication property of function
if you plug find a root then you can deduce it is a factor in other words if f(x)=(x-a)(x-b)
then f(a)=0 and f(b)=0
so
f(2)=8+8-32-32= -48 therefore it is not a factor
f(-2)=-8+8+32-32=0 hence it is a factor
f(4)=64+32-64-32=0 it is a factor
f(-4)=-64+32+64-32=0 it is a factor
f(-6) it is not a factor via the fundmental therom of algebra
f(x)=(x+2)(x-4)(x+4)
=(x^2-16)(x+2)=x^3+2x^2-16x-32 which checks our work