Three times the difference of a number n and 1
Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
<u>Simple interest formula</u>
I = Prt
where:
- I = total interest
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = $225
- r = 3% = 0.03
- t = 5 years
Substitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.
<h3>What is a number line?</h3>
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.
Learn more about the Number line:
brainly.com/question/557284
#SPJ1
