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2 years ago

Which equation is a linear function y = 2/x + 3 y = x/2 - 5 y = 2 ^ z - 1 y = x ^ 2 + 7

Mathematics

2 answers:

stich3 [128]2 years ago

6 0

Answer:

hello how do i work this app im new

Step-by-step explanation:

Free_Kalibri [48]2 years ago

3 0

Answer: y = x ^ 2 + 7

Step-by-step explanation: trust me

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Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

2 years ago

Choose the best definition for the following phrase: combining like terms (1 point)

Maksim231197 [3]

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

4 0

3 years ago

Round these numbers to the nearest ten and 100 for brainlies 50 points

Dmitrij [34]

Answer:

1. 650, 700 2. 840, 800 3. 370, 400 4. 80, 100 5. 620, 600 6. 250, 200 7. 970, 1,000 8. 330, 300 9. 450, 400 10. 210, 200 11. 100, 100 12. 710, 700

Step-by-step explanation:

4 0

2 years ago

Solving proportions<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%5C3%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7Ba%7D%7B20%7D%20" i

Olegator [25]

Answer:

a = 4/3

Step-by-step explanation:

1/3 a

----- = -----

5 20

Using cross products

1/3 * 20 = 5a

20/3 = 5a

Divide each side by 5

20/3 * 1/5 = 5a/5

4/3 = a

8 0

2 years ago

Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yello

IRINA_888 [86]

Answer:1.25

Step-by-step explanation:90/72

7 0

3 years ago