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Crank
3 years ago
15

Which of the following shows the true solution to the logarithmic equation below ? Log(x)+log(x+5)=log(6x+12)

Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0
The equation can be rewritten as: Log(x*(x+5))=Log=(6x+12)
so x(x+5)=6x+12
x^2+5x=6x+12
x^2-x-12=0
(x+3)(x-4)=0
x=-3 or x=4
x cannot be negative here, so x=4 is the only solution 
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Solve using substitution. <br> 7x-4y=-12<br> 9x-4y=-20
MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

x=

7

4(y−3)

​

2 Substitute x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

 into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

.

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

​

 

x=−4

y=−4

​

3 0
3 years ago
A medicine bottle contains 8 grams of medicine. One dose is 400 milligrams. How many milligrams does the bottle contain?
kompoz [17]

Answer:

8×1000 milligrams

8000 milligrams

8 0
2 years ago
What is 1/5 + 1/4 + 1/10
ivolga24 [154]

Answer:0.55

Step-by-step explanation:

1/5 + 1/4 + 1/10

add them all together

adds up to 0.55

8 0
3 years ago
Read 2 more answers
line k has a slop of -5. Line J is perpendicular to line K and passes through the point (5,9). Create the equation for line j.
sveticcg [70]

Answer:

The equation of the line would be y = 1/5x + 8

Step-by-step explanation:

Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.

Now we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 9 = 1/5(x - 5)

y - 9 = 1/5x - 1

y = 1/5x + 8

6 0
3 years ago
Which are considered good credit practices? Check all that apply. Pay less than the minimum amount due. Make payments on or befo
Margaret [11]

Answer:

Make payments on or before the due date; Pay off the full amount with the first monthly statement; Have a plan of how you will repay the money.

Explanation:

Good credit practices will help build your credit.

You must pay at least the minimum amount due each month in order to avoid late fees and derogatory marks on your credit report.  This means the first option is not correct.

Making payments on or before the due date will keep your account in good standing.  This option is correct.

Paying off the full amount with the first monthly statement, while it does not help y

our credit score much, will keep your account in good standing.  This option is correct.

Having a plan of how you will repay the money you borrow is essential before you start borrowing.  This option is correct.

Choosing the credit card with the highest interest rate will cause you to pay more over the lifetime of the balance.  This is not something you want; this option is not correct.

9 0
3 years ago
Read 2 more answers
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