Solve for x. 15^(x-6)=16^(4x)

Mathematics

1 answer:

masha68 [24]2 years ago

7 0

x= -1.938404987

Solution in picture

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I need help. With this p

iogann1982 [59]

$a_n=a_1+(n-1)d$ - the formula of n-th term of an arithmetic sequence.

We have:

$a_5=12.4;\ a_9=22.4$

$a_9-a_5=(9-5)d\to4d=22.4-12.4\\\\4d=10\ \ \ \ |:4\\\\d=2.5$

$a_{31}=a_9+(31-9)d\to a_{31}=22.4+22\cdot2.5=77.4$

Answer: C. 77.4

6 0

2 years ago

Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.

alexandr402 [8]

To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

$\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}$

and yes, the domain for the range 0 ⩽ x <span>⩽ 2, let's get instead the "range" of the original function,

</span> $\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}
\\\\\\
x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\
-------------------------------\\\\
\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}$ <span>
</span>

8 0

2 years ago

If the perimeter of this quadrilateral (2ft 13ft 15in this is the quadrilateral) is 79 inches, what is the measure of the missin

kumpel [21]

Answer:

The missing side length is 27 in

Step-by-step explanation:

see the attached figure

we know that

1 ft= 12 in

step 1

Convert ft to in