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
Vlad1618 [11]
3 years ago
5

Lg(10x+200)=lg

align="absmiddle" class="latex-formula">
+lg10​
Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer: x = {-4, 5}

<u>Step-by-step explanation:</u>

log (10x + 200) = log (x²) + log (10)

log (10x + 200) = log (10x²)

     10x + 200 = 10x²

                   0 = 10x² - 10x - 200

                   0 = x² - x - 20

                   0 = (x - 5)(x + 4)

                   0 = x - 5    0 = x + 4

                  x = 5           x = -4

Check for extraneous solutions:

             10x + 200 > 0                  x² > 0

x = 5      10(5) + 200 > 0               (5)² > 0        both are satisfied

x = -4     10(-4) + 200 > 0             (-4)² > 0        both are satisfied

            Both solutions are valid!

 

You might be interested in
Question 3
choli [55]

Answer:

((19)(49)/98)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers starte
ankoles [38]

Answer:

<em>Worker B needs 9 days to finish the rest of the work</em>

Step-by-step explanation:

<u>Proportions</u>

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

\frac{1}{12}+\frac{1}{16}=\frac{7}{48}

After 3 days they have completed:

3*\frac{7}{48}=\frac{7}{16}

parts of the project, this means it still remains:

1-\frac{7}{16}=\frac{9}{16}

parts of the project and it is done by B alone. Since B does \frac{1}{16} per day, he now takes

\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9

days to complete the project.

Worker B needs 9 days to finish the rest of the work

4 0
3 years ago
From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

\frac{AD}{BD}=\frac{BD}{DC}

Where BD is the altitude.

Cross multiply:

BD^2=AD*DC

Plug in the values and solve for x:

\begin{gathered} (x+3)^2=3*27 \\  \\ (x+3)^2=81 \end{gathered}

Take the square root of both sides:

\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\  \\ x+3=9 \\  \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\  \\ x=6 \end{gathered}

Therefore, the value of x is 6 .

ANSWER:

d. 6

4 0
1 year ago
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Alik [6]

Answer: $2.08

Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)

=2.08

8 0
1 year ago
Jack covers his ears when he hears a loud sound. Which statement is correct?
Gre4nikov [31]

Answer:

correct answer is 3

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Suppose you invest $10,400 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.
    10·1 answer
  • Find the (real-valued) general solution to the differential equation. z′′+5z′=0
    11·1 answer
  • Gary is 3 years older than twice the age of his sister (Elena) __________.
    11·2 answers
  • What is 1 plus -1/8????????
    5·2 answers
  • The fastest speed recorded for a cheetah is 70 mph. This is 11 mph less than 3 times the fastest running speed of a man. What is
    9·2 answers
  • ABC Bookstore rents a storage space that is 60 ft x 40 ft and 12 ft high. It is
    11·2 answers
  • What is the slope of the line represented by the equation 10x - y = 2?
    8·2 answers
  • The value of 8 in the number 874,500 is how many times greater than the value of 8 in the number 8,745? 10 100 1,000 10,000
    13·1 answer
  • Using the slope formula above, find the slope of the line between two points.
    14·1 answer
  • Angle A is three times the size of angle B.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!