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
Kitty [74]
3 years ago
7

How to solve 7^3x+4=49^2x+1

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0
Raise 49<span> to the </span>power<span> of </span>2<span> to get </span><span>2401.
</span><span><span>7^3</span>x+4=2401x+1

</span>Raise 7<span> to the </span>power<span> of </span>3<span> to get </span><span>343.
</span><span>343x+4=2401x+1

</span>Since <span>2401x</span><span> contains the </span>variable<span> to solve for, move it to the left-hand side of the </span>equation<span> by subtracting </span><span>2401x</span><span> from both sides.
</span><span>343x+4−2401x=1

</span>Add <span>343x</span><span> and </span><span>−2401x</span><span> to get </span><span><span>−2058x</span>.
</span><span>−2058x+4=1

</span>Since 4<span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by subtracting </span>4<span> from both sides.
</span><span>−2058x=−4+1

</span>Add <span>−4</span><span> and </span>1<span> to get </span><span><span>−3</span>.
</span><span>−2058x=−3

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span><span>−2058</span>.


</span><span>x=<span>1/686</span></span>
You might be interested in
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
4 years ago
Read 2 more answers
What is the quality of 4x+27x=5
Nadya [2.5K]

Answer:

<h3>X=5/31=0.16</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

4x+27x=31x (Combine like terms, group like terms, & Add.)

31x=5

31x/31=5/31 (Divide by 31 from both sides.)

5/31=0.16

x=5/31=0.16

In conclusion, the correct answer is x=5/31=0.16.

8 0
3 years ago
PLS HELP TIMED QUESTION!!!
ser-zykov [4K]

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

\displaystyle f(t)=a(r)^{t/d}

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58

7 0
3 years ago
Pauley graphs the change in temperature of a glass of hot tea over time. he sees that the function appears to decrease quickly a
babunello [35]

Non-linear graph best describes this function.

<h3>Why nonlinear?</h3>

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

To learn more about nonlinear function visit:

brainly.com/question/762799

#SPJ4

5 0
2 years ago
How to find the length
Zinaida [17]

Answer:

1.  √32

2.  4

3.  5

4.  √29

5.  √10

6.  5√2

Step-by-step explanation:

Use Pythagoras

4 0
3 years ago
Other questions:
  • Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?
    6·1 answer
  • When creating a budget, you must track both your budgeted expenses and your expenses.
    5·2 answers
  • What does more than mean in math add or subtract
    12·1 answer
  • Which of the following is the graph of −f(x)?
    8·1 answer
  • How much will it cost to pour a circular slab 18 ft in diameter by 3 in. For a patio if the concrete costs $40.00 per cubic yard
    10·1 answer
  • A recipe for 114 dozen cupcakes calls for 123 cups of flour, but Rashida has only 1 cup of flour.
    11·1 answer
  • I will give brainliest to the first person to answer the question! Please be correct and please help &lt;33
    11·2 answers
  • The county fair is a popular field trip destination. This year the senior class at High
    6·1 answer
  • Functions Question (image attached)
    5·1 answer
  • Help please i’m giving away 15 points math grade 7
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!