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Leya [2.2K]
3 years ago
15

5^2x * 5^3 =5^9 what is x please help

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

{5}^{2x}  \ast {5}^{3}  =  {5}^{9}  \\  {5}^{2x + 3}  =  {5}^{9}  \\ 2x + 3 = 9 \\ (bases \: are \: equal \: so \: exponents \: will \: also \: \\  be \: equal) \\ 2x = 9 - 3 \\ 2x = 6 \\ x =  \frac{6}{2}  \\  \huge \red { \boxed{x = 3}}

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Identify the steps to completing the square. Its on my algebra 2 homework and i have no idea what it means
Mrrafil [7]
1. your leading coefficient has to be 1 (nothing before the x^2). If there is you have to divide that out before you start.
2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve

Here is an example:

4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side.  It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
x=3-2=1
Those would be your two answers.

<span>Hope that helps</span>
4 0
2 years ago
Pls someone help with this!!! ASAP
andriy [413]
It would be 22 x 3.14 = 69.08 i’m pretty sure lolol sorry if i’m wrong
5 0
2 years ago
Write the expression in standard form: 4y - (3+y)
Firdavs [7]
4y - (3+y) is standard form is: 3y - 3
4 0
2 years ago
Can somebody please help me with these two questions?
Mekhanik [1.2K]

Problem 3

This is not an exponential function. If you were to graph this out, you would see a parabola forming. Or at the very least, a parabolic-like curve forms. An exponential curve only increases or only decreases for the entire domain. However, in this case, we have an increasing portion, and then it decreases.

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

Problem 4

This is an exponential function. Each time x increases by 1, y is multiplied by 4. The equation that models these points is y = 4^x. Note how the function is strictly increasing and there are no decreasing portions mixed in.

6 0
3 years ago
(5x-25)+(3x+9)=180 please answer right now
jok3333 [9.3K]

Answer:

x=24.5\\

Step-by-step explanation:

So we have the equation:

(5x-25)+(3x+9)+180

Combine like terms:

(5x+3x)+(-25+9)=180

Add:

8x-16=180

Add 16 to both sides:

8x=196

Divide both sides by 8:

x=24.5\\

So, our answer is 24.5 :)

6 0
3 years ago
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