Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
Move x to the right side, so we could get y=-3-x.
If you didn't have a calculator, go to https://www.desmos.com/calculator and graph it. The rest is your work.
Answer: Box3 has 120 oranges.
Box1 has 150 oranges.
Box has 130 oranges.
Step-by-step explanation:
I will answer this in English.
The question says:
3 boxes have 400 oranges.
The first one has 20 more than the second and 30 more than the third.
So we have 3 equations:
box1 + box2 + box3 = 400
box1 = box2 + 20
box1 = box3 + 30
Now, we can take the variable box1 in the third equation and replace it on the other two.
box3 + 30 + box2 + box3 = 400
box3 + 30 = box2 + 20
Now we can isolate one of the variables in the second equation, let's isolate box2.
box2 = box3 + 30 - 20 = box3 + 10
now we can replace it in the other equation:
box3 + 30 + box2 + box3 = 400
box3 + 30 + box3 + 10 + box3 = 400
3*box3 + 40 = 400
3*box3 = 400 - 40 = 360
box3 = 360/3 = 120.
Box3 has 120 oranges.
Box1 has 120 + 30 = 150 oranges.
Box has 150 - 20 = 130 oranges.
Step-by-step explanation:
x² − 4x = 0
To complete the square, take half of the second coefficient, square it, then add the result to both sides.
(-4/2)² = 4
x² − 4x + 4 = 4
(x − 2)² = 4
x − 2 = ±2
x = 2 ± 2
x = 0 or 4
Answer:
31
Step-by-step explanation:
In the above problem it is given that
No of Bees in the hive = 14
Number of bees in the garden = 17
In order to solve it
First of all I wrote 14 in the first box which represents the number of bees in the hive.
Secondly, I wrote 17 in the second box which represents the number of bees in the garden.
Now, in order to calculate the total number of bees i added the number in both boxes
Total Number of bees = 14 + 17
Total Number of bees = 31
So our total number of bees are 31
