Answer:
Step-by-step explanation:
Simplified the following system of equations into a linear equation.
Graphed (plot the points) the linear equation onto the graph.
To get the solution (2,-2) (x,y)she went positive 2 to the right and -2 down.
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
Answer:
A=158
Step-by-step explanation: SA = 2 × l × w + 2 × l × h + 2 × w × h
The domain is {0≤x≤200}.
This is because the domain is x, the number of cakes. The smallest number of cakes she can bake is 0.
Since she is buying enough materials to make 200 cakes, this number is the largest number of cakes she can bake.
Hello!
The first thing you should notice is that the exponent will be less than 1, as raising 27 to any power greater than 1 will make it larger, and you're trying to figure out what makes it equal to 3, a number less than 27.
Raising a number to a fractional power is taking its nth root:
is
, so you'll really need to take the nth root of 27 to get 3. To figure out which root, write the number in exponential form with a base of 3:
= 3
=
Now, the bases are the same (they are both 3), so you can set the exponents equal to each other:
3x = 1
Divide both sides by 3 and you've isolated x:
Answer: