Answer:
x=2.5
Step-by-step explanation:
Put the like terms together, like so:
10x-2x=34-14
The result is this:
8x=20
Simplify to get:
x=2.5
Answer:
18
Step-by-step explanation:
2(6) + 2(3)
12 + 6 = 18
Here is a picture of the answer:
She drove 2 hours at 70 miles per hour, so she drove 70 * 2 = 140 miles total.
The jet traveled 400 miles per hour for 2 hours for a total of 400 * 2 = 800 miles.
Total miles = 140 + 800 = 940 miles.
The answer is C.
Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
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(b)
-
=
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
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(c) Assuming lg means log then using the rules of logarithms
log
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3