Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
Answer:
138
Step-by-step explanation:
p(x) = 3x^4 + 2x^3 − 4x^2 + 21
Let x = 2
p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21
= 3*16+2*8-4*4+21
=48+16-16+21
= 69
This is per girl
There are 2 girls
2 * 69
138
Given :
James puts $3,500 into a savings account that earns 2.5% simple interest.
He does not touch that account for 3 years.
To Find :
The new balance of the account be after 3 years.
Solution :
Interest on $3500 after 3 years is :

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5 .
Hence, this is the required solution.
Given that,
Radius of the circle, r = 8.91 cm
Angle, 
To find,
The area of minor sector.
Solution,
The formula for the area of minor sector is given by the formula as follows :

So, the area of the shaded sector is
.