Answer:
42*2
Step-by-step explanation:
42*2
Answer:
No real solutions;
Step-by-step explanation:
The easiest method to solve an algebraic equation is to use inverse operations. This applies to the given equation;
- Take the square root of both sides
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As one can see, the right side is a negative number. However, one cannot take the square root of a negative number and get a real result. Therefore, one must use imaginary numbers. Remember, the imaginary unit () represents ().
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- Add (3) to undo the (-3)
- Divide by (2) to remove the coefficient of (2x)
÷ ÷
Simplify,
Answer:
-8, 16, -32, 64
Step-by-step explanation:
a1 = -8
r = -2
a2 = -8(-2)=16
a3 = -8(-2)²=-8(4)=-32
a4=-8(-2)³=-8(-8)=64
We can use a system of equations to solve this.
Notice that we are required to find 3 consecutive even integers.
This can be represented as x, y, and z, where x is the smallest integer, y is the next largest, and z is the largest of the three.
x = x
y = x + 2
z = y + 2
Take a moment to make sense of the above system of equations.
I can simplify the system a bit more by plugging in the second equation into the third one.
z = (x + 2) + 2
z = x + 4
Now the new system of equations is
x = x
y = x + 2
z = x + 2
Now for the second part of this problem. We are given this equation
2x + z = 268216
You may notice that we no longer need the second equation, y = x + 2. Also, the first equation is redundant, so we can ignore it.
That leaves us with this system:
z = x + 4
2x + z = 268216
What do you think we should do? We can plug in z to solve for x.
2x + (x + 4) = 268216
3x + 4 = 268216
3x = 268212
x = 89404
Now we know the first number in the sequence! Then we can find the other two numbers, because we know that the next numbers must be the next largest even numbers in sequence!
89404, 89406, and 89408 are your answers.
Answer:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation: