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3 years ago

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay

B is answer

finlep [7]3 years ago

4 0

The <em><u>correct answer</u></em> is:

B.P=1/4;a=5

Explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.

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Karim is ordering video games. Each game costs $39.99, and there is a $4.85 shipping charge per order. How much will it cost him

weqwewe [10]

Given:
Cost of a game = $39.99
Shipping charge = $4.85
Let,
number of video games be "n"
Now,
total cost = (cost of each game * total no. of games) + shipping charge
= $39.99n + $4.85

So, you use the above equation to find the total cost of video games.

7 0

3 years ago

If (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?

erastovalidia [21]

$(a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50$

4 0

2 years ago

A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea

Andrej [43]

Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!

7 0

3 years ago

Which of the following can be written as an equation

masha68 [24]

Answer:

Step-by-step explanation:

"Is the same as" means an = sign, necessary for an equation!

7 0

3 years ago

Use the formula to evaluate the series 1+2+4+8+...a10

valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

$S_n = \frac{a(1-r^n)}{1-r}$

where a is the first term and n is the number of term.

Given the series: $1+2+4+8+.................+a_{10}$

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

$S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023$

Therefore, the sum of the given series is 1023

8 0

3 years ago