Answer:
D
Step-by-step explanation:
The solution is B. In each equation, it uses parenthesis to group operations. On the left, each pair repeats one number either 1.6 and 4.2. On the right is written the reduced form by writing the expression with a greatest common factor.
Option A is incorrect since 1.6 is not the GCF which appears in each parenthesis.
Option B is incorrect because the operation in the parenthesis is multiplication and not addition.
Option C is incorrect because 1.6 as a GCF is applied using multiplication.
Option D is correct since 1.6 does occur as a GCF in each parenthesis. It also has written correctly (4.2 +7) since addition is the operation between the parenthesis.
Answer:
Step-by-step explanation:
Givens
x + y = 2
x - y = 6
Solution
Just add the two equations together. The y's will drop out.
x + y = 2
<u>x - y = 6 </u> Add
2x = 8 Divide by 2
2x/2 = 8/2 Combine
x = 4 Substitute x = 4 into the top equation
x + y = 2
4 + y = 2 Subtract 4 from both sides
4-4+y=2-4 Combine
y = - 2
Answer
x = 4
y = -2
Answer: The correct answer is: " 3 " .
_______________________________
Step-by-step explanation:
_______________________________
The problem given is:
_______________________________
Evaluate: log 2 base 8 .
_______________________________
Rewrite as: "
" ; 
_______________________
Take note of the following definition of a logarithm:
_______________________
"
" ; ↔ "
" ;
_______________________
in which:
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
______________________________
As such:
"
"
⇔ "
" ; Solve for "x" ;
_______________
Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
___________________
→ "
" ;
→ "
" ; since: "
" ;
→ as such: " x = 3 " ;
______________________
Thus:
"log 2 base 8 " ;
=
.
_______________________
Hope this helps!
Best wishes to you!
4x + 30 = 5x + 20
30 - 20 = 5x - 4x
10 = x <==