Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4
y=-2x-2
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
Answer:
Its just 7
Step-by-step explanation:
Count the places. 200+7=207
Answer: 1:5
Step-by-step explanation:
Given: The cost of every mirror is proportional to the cube of the mirror's radius.
i.e. 
Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter.
Then,
The ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors will be:
Hence, the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors = 1:5 .
Answer:
1/3
Step-by-step explanation:
Your choice of answer must be consistent with the instructions.
The only answer with no exponent is the correct one:
1/3
__
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
3^(-4) × 3^3 = 3^(-4+3) = 3^-1
and
a^-b = 1/a^b
so
3^-1 = 1/3^1 = 1/3 . . . . written without an exponent
Answer:
r > 6
Step-by-step explanation:
subtract 3r from both sides of the inequality
0 < r - 6 ( add 6 to both sides )
6 < r ⇒ r > 6
