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3 years ago

Solve by factoring the equation x^2+36=12x

1 answer:

6 0

$x^2+36=12x\\\\x^2-12x+36=0\\\\x^2-6x-6x+36=0\\\\x(x-6)-6(x-6)=0\\\\(x-6)(x-6)=0\\\\(x-6)^2=0\iff x-6=0\Rightarrow\boxed{x=6}$

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Explain the relationship between an equation in exponential form and the equivalent equation in logarithmic form.

Eddi Din [679]

$\bf 
log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y\\
\\ \quad \\
thus\\
----------------------------\\
8^5=32768\qquad \iff\qquad log_8(32768)=5$

so... notice the example there, with 8
so.. you tell us, what is the relationship then?

8 0

3 years ago

PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl

Julli [10]

Given:

The given expression is

$-4(x+2)-2x+4$

To find:

The two other equivalent expressions.

Solution:

We have,

$-4(x+2)-2x+4$

Using distributive property, we get

$=-4(x)-4(2)-2x+4$

$=-4x-8-2x+4$

So, one equivalent expression is $-4x-8-2x+4$ .

On further simplification, we get

$=(-4x-2x)+(-8+4)$

$=6x-4$

Therefore, the second and fully simplified equivalent expression is $6x-4$ .

5 0

2 years ago

Solve by substitution please??? Immediate help!

marta [7]

Solve for the first variable in one of the equations, then substitute the result into the other equation.
3. (1/2, -1,2)
4. (2, -4)
You can get step by step at:
https://www.mathpapa.com/algebra-calculator.html

3 0

2 years ago

Find g (a + 1 ), if g(x)=5x-3

nordsb [41]

Answer:

g(a+1)=5a+2

Step-by-step explanation:

so (a+1) is the value of x

you can write it like this:

x=a+1

using substitution, we can swap out all 'x's for 'a+1's. like so;

g(a+1)=5(a+1)-3 -- given

=5a+5-3 -- distribute

=5a+2 -- simplify!

Hope i helped! have a great day! please mark brainliest!!

5 0

3 years ago

Find the quotient and the remainder: (x^2+3x-4)/(x-1)

skelet666 [1.2K]

Evaluate this...
$\frac{x^2+3x-4}{x-1}$
the x at the bottom cancels out one of the xs at the top so it will be
$\frac{x^2+2x-4}{-1}$
Now the one cancels out one of the 1s in the -4 so
${x^2+2x-3}$

Hope this helps :)

8 0

2 years ago