<span>3√96 * √98 = </span><span>12√6 * 7√2 = 84</span>√12 = 168√3
Answer:
This would be shifted down 8 and made 3 times less steep.
Step-by-step explanation:
In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.
Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.
In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>
The unit rate that the turtle is crawling is: (1/23)/(5/6) = (1/23)*(6/5) = 6/115 miles/hour.
Answer:
the answer is 32
Step-by-step explanation:
32 is the only answer where 1/4(32) equals 8.