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raketka [301]
3 years ago
13

What is the product of (5× + 1)(5x - 1)?

Mathematics
1 answer:
padilas [110]3 years ago
6 0

we are given

(5x + 1)(5x - 1)

we can distribute it

5x*5x-1*5x+1*5x-1*1

25x^2-5x+5x-1

now, we can simplify it

25x^2-1...............Answer

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

3 0
3 years ago
Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.<br> b^2+3(2x-y)
butalik [34]

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

<h2 /><h2>Answer: 18</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2><h2 />

First we need to substitute the value of the variable into the expression.

b^{2}+3(2x-y) = 3^{2} + 3 (2(4)-5) .

Now we need to solve 3^{2} + 3 (2(4)-5).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3^{2} + 3 (2(4)-5)

First, calculate 3 to the power of 2 and get 9.

9+3(2\times 4-5)=18

Multiply 2 and 4 to get 8.

9+3(8-5) =18  

Subtract 5 from 8 to get 3.    

9+3\times 3 =18  

Multiply 3 and 3 to get 9.

9+9 =18.

<h2>And the answer is, you guessed it, 18!</h2>

7 0
3 years ago
What kind of slope does the following line have?<br> +
Softa [21]

Answer:

horizontal and vertical

Step-by-step explanation:

if its the plus?

5 0
3 years ago
The graph shows the plans for a fence that Macy is building around her vegetable garden. Each unit on the graph represents 5 fee
ipn [44]

Answer:

70

Step-by-step explanation:

5*4=70

3 0
2 years ago
point k is between points j and l if jk=xsquared -4x, kl= 3x-2, and jl= 28, write and solve an equation to find the lengths of j
nadya68 [22]
Jk= 18
Kl= 10

3x - 2 = 28
+2. +2
3x / 3 and 30 / 3 = 10
28-10 = 18
8 0
3 years ago
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