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11111nata11111 [884]
3 years ago
13

3x + 17 = 2x - 6 What’s the answer for x

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
3x+17=2x-6
-2x -2x * subtract 2x from both sides* *3x-2x is 1x*
1x+17=-6 *now subtract 17 from both sides*
-17 -17
1x=-23
1x. 1x
x=23
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Suppose that the functions p and q are defined as follows.p(x) = -2x + 1q(x)=-x?Find the following.
MariettaO [177]

First let us find

(q\mathrm{}p)(x)\begin{gathered} q(p(x))=q(-2x+1) \\ =-(-2x+1)^2 \\ So\text{ } \\ (q\mathrm{}p)(5)=-(-2\times5+1)^2 \\ =-(9)^2 \\ =-81 \end{gathered}

Now let;s solve the second part

\begin{gathered} (p\mathrm{}q)(x)=p(q(x)) \\ =p(-x^2) \\ =-2(-x^2)+1 \\ =2x^2+1 \\ So\text{ (p.q)(5) will be } \\ (p\mathrm{}q)(5)=2(5)^2+1 \\ =51 \end{gathered}

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1 year ago
What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.
sammy [17]

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

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Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

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4 0
3 years ago
the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi
anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

\frac{dP}{dt} = kP

In which k is the growth rate.

By separation of variables, the solution is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

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3 years ago
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Answer:

<h3>C. 180 square inches</h3>

Step-by-step explanation:

<h2>#carry on learning </h2><h2>#mark brainlits</h2>
6 0
3 years ago
Solve for x. <br> 3x = 6x - 2
Yakvenalex [24]

Answer:

x =  \frac{2}{3}

Step-by-step explanation:

3x=6x-2

Subtract '3x' from both sides

0=3x-2

Add '2' to both sides

2=3x

Divide by 3

x=2/3

If you need the answer in decimal form divide 2 by 3

3 0
3 years ago
Read 2 more answers
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