Answer:
<h2>x² = -3</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so its value can be determined.
<h3>Step 1: Subtract 21</h3>
7x² = -21
<h3>Step 2: Divide by 7</h3>
x² = -3
<h3>Step 3: Check</h3>
7(-3) + 21 = 0
0 = 0 ✔
<h3>Step 4: Answer</h3>
x² = -3
I'm always happy to help :)
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
1, 2, 3, 5, and 7 are all functions. 4, 6, 8, and 9 are not functions.
Answer:
The value of X is 6. X=6
Step-by-step explanation:
