Answer:
(-1, -2) will be the solution.
Step-by-step explanation:
System of equations has been given as,
y = 3x + 1 ---------(1)
Input-output value table for the given line will be,
x -2 -1 0 1
y -5 -2 1 4
y = -x - 3 ----------(2)
Input-output value table for the given line will be,
x -2 -1 0 1
y -1 -2 -3 -4
By plotting the given coordinates we can draw the straight lines.
And the point of intersection (common point) of these lines will be the solution of the given system of equations.
Hence, (-1, -2) will be the solution.
Jack's current monthly bill is
(1200 kWh +400 kWh)*($0.075/kWh) = $120
On the interval use plan, Jack's monthly bill would be
(1200 kWh)*($0.03/kWh) + (400 kWh)*($0.15/kWh) = $36 + 60 = $96
If Jack were to switch, his savings would be $120 -96 = $24.
The appropriate choice is ...
b. Jack should switch to the interval use plan, which would save him $24 per month.
The correct question is
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
Step 1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²
Step 2
find the area of the circular <span>fountain (A2)
A2=pi*r</span>²---------> pi*(4x)²=16*pi*x²
Step 3
find <span> the area of the remaining yard (A3)
A3=A1-A2----------> 150*x</span>²-16*pi*x²----> x²*[150-16*pi]----> 2*x²*[75-8*pi]
the answer is the option A)
<span> 2x</span>²<span> (75-8pi )</span>
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
The seedling grew 1 1/6 inches or approximately 1.16 inches. 1/3 is equal to 2/6, 2/6 + 5/6 = 7/6
7/6 = 1 1/6
