
the numbers should be

or

because you move the point 18 places to obtain 9.15(the dot is initially at the end of the number)
Answer:
D (7=30x)
Step-by-step explanation:
Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;

where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
<u>Answer:</u>
• Equation = 
• length = 56 ft
• width = 32 ft
<u>Step-by-step explanation:</u>
The ratio of the length to width is 7:4.
∴ 
⇒
[Equation 1]
We know that the perimeter of the garden is 176 feet.
∴ 
⇒ 
⇒
[From Equation 1]
⇒ 
⇒ 
⇒ 
⇒ 
We know from Equation 1 that:
∴ 
⇒ 
ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the quotient and the remainder when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is