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vivado [14]
3 years ago
5

What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

x = 48

Step-by-step explanation:

\log_{10}(2x+4)=2

\implies 10^{\log_{10}(2x+4)}=10^2

\implies 2x+4=100

\implies 2x=96

\implies x=48

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How many sides does a nonagon have?
guapka [62]

Answer:

9

Step-by-step explanation:

Fun fact. The name nonagon comes from Greek enneagonon, and is arguably more correct, though less common than "nonagon".

3 0
3 years ago
The probability of drawing an ace from a deck of cards is 1/13. If you drew one card at a time (and put the card back each time)
Digiron [165]

Answer:

31 aces

Step-by-step explanation:

To find the number of aces you would expect, take the probability of an aces and multiply by the number of tries

1/13 * 400 =30.76923

Rounding up, approximately 31 aces

4 0
4 years ago
X-y=5 and x^2y=5x+6​
sergeinik [125]

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

8 0
2 years ago
Please help I don’t know it
navik [9.2K]

Answer:

109

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3(x +2)-9x+5<br> What is the answer
Alika [10]

Answer:

-6x+11

Step-by-step explanation:

8 0
3 years ago
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