I hope choices must be given in the problem.
I am showing the method to find the equivalent equation of the above equation. You can match with your given choices.
First step is to expand the first term. So,
(x-4)² = (x - 4)(x - 4) Since a²= a*a
= x² - 4x - 4x + 4 * 4 By multiplying.
= x² -8x + 16 Combine the like terms.
So, (x - 4)² - (x -4) - 6
= x² - 8x + 16 - x + 4 - 6
= x² - 9x + 14 Combine the like terms.
So, equivalent equation of the above equation is x² - 9x + 14 = 0.
I would say cy hopes this help
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
Answer:
a. $60
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where
A= Amount after t years.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.
As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.
12 months = 1 year.
Now let us find amount repayable after 12 months for borrowing $1000.
Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.
Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.
Now let us find difference between both repayable loan amounts.
Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.
The equation would be 2x + 5y = 11.
To find this, we first have to find the slope of the line. The slope formula is below.
m (slope) = (y2 - y1)/(x2 - x1)
In which (x1, y1) is the first point and (x2, y2) is the second. So we plug in to solve.
m = (3 - 1)/(-2 -3)
m = 2/-5
Now that we have the slope, we can use it along with a point to get the slope intercept form.
y = mx + b
3 = -2/5(-2) + b
3 = 4/5 + b
11/5 = b
Now that we have the equation of y = -2/5x + 11/5 we can manipulate it into standard form.
y = -2/5x + 11/5 -----> add 2/5x to both sides
2/5x + y = 11/5 ----> multiply both sides by 5
2x + 5y = 11
