r + 4(r - 3)
<em><u>We'll use the distributive property to simplify this.</u></em>
r^2 - 3r + 4r - 12
<u><em>Combine like terms</em></u>
r^2 + r - 12 is the simplified form.
Answer:
330
Step-by-step explanation:
6x²+4x+8
Let x=7
6 ( 7)^2 + 4(7) +8
6*49+ 28+8
294+28+8
330
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
Answer:
The scale factor is 
Step-by-step explanation:
The volume of the original prism is 
The volume of the dilated prism is 
Let the scale factor be 
.
To find the volume of the dilated prism, we multiplied by 
.
![\Rightarrow k=\sqrt[3]{\frac{27}{8}}](https://tex.z-dn.net/?f=%5CRightarrow%20k%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B8%7D%7D)
