The equivalent equation is x² + 20x = -102
<h3>
Simplification of quadratic equation</h3>
The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
<em>collect similar terms together</em>
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: brainly.com/question/1214333
Answer:
2394 cubic centimeters
Step-by-step explanation:
If all of the dimensions of the shipping box are 1.3 times that of the gift, then the volume of the box is 1.3^3=2.197 times that of the gift. Dividing this by the volume of the box, you get a volume of 2000 cubic centimeters for the volume of the gift. Subtracting this from the volume of the box, you get 2394 cubic centimeters of unused space. Hope this helps!
Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where
solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day
EXPLANATION
If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:
Replacing terms:
The approximate area is 37.7 in^2
Answer:For this case, the first thing we must do is define variables.
x: amount of time Miguel uses to complete the task.
y: amount of time Maria uses to complete the task.
We write the system of equations:
x + y = 60
y = (1/2) x
Solving the system we have:
x = 40 minutes
y = 20 minutes
Answer:
it take her to wash them by herself about:
y = 20 minutes
Step-by-step explanation:
