To graph it, just graph

and

and see where they intersect
I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it
hmm
multiply both sides by -1

multiply both sides by



minus 1 from both sides and minus 6(3^x) from both sides

use u subsitution

we can rewrite it as

now factor
I mean use quadratic formula
for

so for 0=u^2-16u-1, a=1, b=-16, c=-1


remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor


if you take the log base 3 of both sides you get

if you use ln then

then
Responder:
Los cuadros 89 y 91 presentan proporcionalidad directa
El cuadro 90 muestra una correlación directa.
Explicación paso a paso:
De la imagen adjunta:
Cuadro 89:
Para mostrar proporcionalidad directa:
y α x
y = kx; k = constante de proporcionalidad
Comprobando las tablas:
Cuadro 89:
A = 1,5; B = 3
B = kA; 3 = 1.5k
k = B / A
k = 3 / 1,5 = 2
Usando k = 2;
demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.
B = 2 * 2 = 4
Por tanto, el cuadro 89 exhibe proporcionalidad directa
Comprobando las tablas:
Cuadro 90:
C = 2; D = 8
D = kC; 8 = 2k
k = 8/2 = 4
Usando k = 4;
demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.
B
D = 4 * 3 = 12
De la tabla, D = 9;
Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.
Comprobando las tablas:
Cuadro 91:
E = 1; F = 1/2
F = kE; 1/2 = k
k = 1/2
Usando k = 1/2;
demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.
F = 1/2 * 3 = 3/2
Por tanto, el cuadro 91 presenta proporcionalidad directa.
Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
Answer:
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Step-by-step explanation: