Answer:
1/3 (6p-3) + 1/7 (7p+14)
1/3*6/1p + 1/3*3/1 + 1/7*7/1p + 1/7*14/1
6/3p + 3/3 + 7/7p + 14/7
3p + 1 + 1p + 2
3p + 1p + 1 + 2
4p + 3
Step-by-step explanation:
1/3 (6p-3) + 1/7 (7p+14)
1/3*6/1p + 1/3*3/1 + 1/7*7/1p + 1/7*14/1
6/3p + 3/3 + 7/7p + 14/7
3p + 1 + 1p + 2
3p + 1p + 1 + 2
4p + 3
Answer:
12
Step-by-step explanation:
2*6=12
Answer:
Given the function f(x) = 3x + 1, evaluation of f(a + 1) gives:
C. 3a + 4
Step-by-step explanation:
Given function:
f(x) = 3x + 1
We have to find f(a+1).
For this purpose, we will take x = a+1 and
substitute it in the function f(x) = 3x+1:
f(x) = 3x + 1
f(a+1) = 3(a+1) +1
f(a+1) = 3(a) + 3(1) +1
f(a+1) = 3a+3+1
f(a+1) = 3a + 4
So the function f(a+1) is equal to option C. 3a + 4.
Answer: −22w−25
Step-by-step explanation: Distribute:
=−22w+−5+5w+(−5)(w)+(−5)(4)
=−22w+−5+5w+−5w+−20
Combine Like Terms:
=−22w+−5+5w+−5w+−20
=(−22w+5w+−5w)+(−5+−20)
=−22w+−25
"31-inch piece of steel is cut into three pieces"
Call the pieces a,b,c
a + b + c = 31
"second piece is twice as long as the first piece"
b = 2a
"third piece is one inch more than seven times the length of the first piece"
c = 1 + 7a
Ok, we have our equations, let's substitute the second and third into the first.
a + 2a + 1 + 7a = 31
10a + 1 = 31
10a = 30
a = 30/10 = 3
b = 2a = 6
c = 1 + 7a = 22
Check: 3 + 6 + 22 = 31, good
Answer: 3 inches, 6 inches, 22 inches
