Answer: The first number that appears in both sequences is 28.
Step-by-step explanation:
Let's write down numbers from each of the sequences
Sequence 1) We need to start from 7 and multiply 4
7x4=28, 28x4=112
The sequence is 7,28,112...
Sequence 2) We need to start from 8 and add 5
5+8=13, 13+5=18, 18+5=23, 23+5=28
The sequence is 8,13,18,23,28...
They both have 28
Answer:
B: a = 1, b= 7, c = -2
Step-by-step explanation:
<u>Quadratic Formula</u>

Given:

Comparing the terms of the given x-value with those of the quadratic formula:

Therefore:
Using the found values of a and b to solve for c:






In summary: a = 1, b = 7, c = -2

Therefore, <u>option B</u> is the correct solution.
15.
4(x-2) = 2(x-4)+2x
i used the distributive property on the parantheses to then get...
4x-8 = 2x-8+2x
I combined the like terms to then get...
4x-8 = 4x-8
+8 +8
4x = 4x
which simplifies to....
x=x
so the answer to question 15 is x=x
17.
-4(p+1) = -2(8-2p)
I used the distributive property on the parantheses....
-4p-4 = -16+4p
+4 +4
-4p = -12+4p
-4p -4p
-8p = -12
÷-8 ÷-8
p = 1.5
so the answer to question 17 is p = 1.5
hope this helps!!!!
Answer:
474.5 ft³
Step-by-step explanation:
volume of cube = l³ = 9³ = 729
volume of the cylinder = πr²h = π × 3² × 9 = 81π
subtracting,
729-81π = 474.5309951 ft³
Step-by-step explanation:
the potential energy increases as the particles get closer because of their need to push each other away. The closer they get the more they repel.