1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liubo4ka [24]
3 years ago
6

-3^(-x)-6=-3^x+10Solve the equation below for x by graphing plz

Mathematics
2 answers:
vitfil [10]3 years ago
8 0
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 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
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
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
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

nordsb [41]3 years ago
5 0

Answer:

x = 2.527

Step-by-step explanation:

We have to solve the equation -3^{-x}-6=-3^x+10 by graphing method.

In order to solve this equation from graphing method, we graph the below two equations in the same coordinate axes.

y=-3^{-x}-6...(i)\\\\y=-3^x+10...(ii)

The x -coordinate of the intersection point of these two graphs would be the solution of the equation.

Please see the attached graph.

The x-coordinate of the intersection point is 2.527.

Hence, the solution to the given equation is x = 2.527

You might be interested in
Is this a right triangle?​
-BARSIC- [3]
Yes it is a right angle
4 0
2 years ago
Read 2 more answers
Find the value of X please!!!
dybincka [34]

Answer:

What are we finding for X?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write and equation for the shift of the parent graph y=1/x
SashulF [63]
You can think of this equation as \bf f(x)=\cfrac{1}{x}\implies f(x)=(x)^{-1}

and thus apply the transformations to it as such

\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}\\\\
--------------------\\\\

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

1)  D = 2, C = +3

2) D = -12, C = -2

3) C = +6, D = 3

4) C = -7, D = -7
7 0
3 years ago
According to Synthetic division below, which of the following statements are true
Dmitriy789 [7]

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

3x^2-11x+10

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

(x-2)

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

( 3x^2 - 11x + 10) \div (x-2) = 3x - 5

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.

3 0
2 years ago
Tamara needs to find 455-364. Her work is below. Explain what is incorrect and find the correct answer.
oksano4ka [1.4K]
She needs to find 455-364 but she only subtracted 354 in her shown work. 300, 50, 4 added all up is 354 only.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the
    7·1 answer
  • Greater number832458or 83250
    9·2 answers
  • Is an angle that is greater than 90 degrees is acute True or False
    11·2 answers
  • Yolanda says 10 to the 5th power is the same as 50 because 10×5=50. what was yoland's mistake?
    5·2 answers
  • Screenshot down below math question
    9·2 answers
  • Brainliest will be awarded please answer the below question fast u will get points too.
    10·1 answer
  • Simplest form for 10 sec 1 min
    9·1 answer
  • 30 points if correct.
    15·2 answers
  • In an arboretum, the heights of five trees were 21 feet, 31 feet, 36 feet, 28 feet,
    8·1 answer
  • Solve for b.<br> 3-2(b-2)=2-7b3−2(b−2)=2−7b
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!