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Stella [2.4K]
2 years ago
7

What is the value of x 2 - 14 when x = 9?

Mathematics
2 answers:
Nonamiya [84]2 years ago
5 0

Answer:

4.

Step-by-step explanation:

9(2) = 18

18-14=4

Liula [17]2 years ago
4 0

Answer:

4

Step-by-step explanation:

1. plug in 9 to get 9*2-14

2. multiply 9 and 2 to get 18

3. subtract 14 from 18 to get 4

You might be interested in
How many applications of integration by parts are required to evaluate integral (x^7)(e^x) dx?
charle [14.2K]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2860229

_______________


Make it more general, and see what happens when you try to reduce the exponent of  x  in the following integral:

\mathsf{\mathtt{I}_0=\displaystyle\int\! x^k\cdot e^x\,dx\qquad\qquad (k\ge 1,~~k\in\mathbb{N})}


Now, integrate it by parts:

\begin{array}{lcl}
\mathsf{u=x^k}&\quad\Rightarrow\quad&\mathsf{du=k\cdot x^{k-1}\,dx}\\\\
\mathsf{dv=e^x\,dx}&\quad\Leftarrow\quad&\mathsf{v=e^x}
\end{array}


\mathsf{\displaystyle\int\! u\,dv=u\cdot v-\int\! v\,du}\\\\\\
\mathsf{\displaystyle\int\! x^k\cdot e^x\,dx=x^k\cdot e^x-\int\! e^x\cdot k\cdot x^{k-1}\,dx}\\\\\\
\mathsf{\displaystyle\int\! x^k\cdot e^x\,dx=x^k\cdot e^x-k\int\! x^{k-1}\cdot e^x\,dx}\\\\\\
\mathsf{\displaystyle\int\! x^k\cdot e^x\,dx=x^k\cdot e^x-k\cdot \mathtt{I}_1}

where \mathsf{\mathtt{I}_1=\displaystyle\int\! x^{k-1}\cdot e^x\,dx.}


So after one iteration, the exponent of  x  was decreased by one unit.

The question is:  after how many iterations will the exponent of  x  equals zero?

     After exactly  k  iterations, of course.

Therefore, for  k = 7, you have to apply integration by parts  7  times, to get rid of that polynomial factor. Then, there will be one last integral left to evaluate:

\mathsf{\displaystyle\int\! e^x\,dx}

But this one doesn't need to be evaluated by parts. You can directly write the result:

\mathsf{\displaystyle\int\! e^x\,dx=e^x+C}


Shortly, for the integral

\mathsf{\mathtt{I}_0=\displaystyle\int\! x^7\cdot e^x\,dx}

you have to apply integration by parts  7  times (not  8  times).


I hope this helps. =)


Tags:  <em>indefinite integral integration by parts reduction formula product polynomial exponential differential integral calculus</em>

8 0
3 years ago
Solve the system of equations using substitution:<br><br> 7y+2x=16 <br> 5y-9=x
7nadin3 [17]
7y+2(5y-9)=16
7y+10y-18=16
17y=34
y=2

5(2)-9=x
10-9=x
x=1
5 0
2 years ago
Can someone please answer this question please answer it correctly and please show work please help me I need it
WARRIOR [948]

Answer:

-16.5 is the amount of distance he jumped and went down

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?
viktelen [127]

Answer:

<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>

Step-by-step explanation:

<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>

Area = \frac{a*b}{2}

<u><em>Area = (a*b) / 2</em></u>

<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>

<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>

<u><em>a is 20 cenimeters</em></u>

<u><em>b is 10 centimeters</em></u>

<u><em>Therefore :</em></u>

Area = \frac{200}{2}

Area = 100

<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>

4 0
1 year ago
Which phrase best describes the translation from the group y=2x^2 to the graph of y= 2x^2 +5
dsp73

Answer:

The graph move up 5.

Step-by-step explanation:

When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)

7 0
2 years ago
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