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3 years ago

The answer to this equation

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

We are given the equation

$log5x=log(2x+9)$

This can be rewritten as

$log5x-log(2x+9)=0$

Now using the quotient rule for logarithms we can combine these two

$log(\frac{5x}{2x+9} )=0$

Next we can remove the log by using an inverse operation

$10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1$

Now we can solve for x

$\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3$

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How does the graph of y = 3–x compare to the graph of

DerKrebs [107]

Answer: the line is no longer linear

Step-by-step explanation:

7 0

3 years ago

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Please Help me! Algebra 1

dem82 [27]

Option a: The number of bacteria at time x is 0.

Option b: An exponential function that represents the population is $y=200(1.5)^x$

Option c: The population after 10 minutes is 11534(app)

Explanation:

It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)

Option a: To determine the number of bacteria x when y = 200

From the graph, we can see that the line meets y = 200 when x = 0

Thus, the coordinates are (0,200)

Hence, the number of bacteria at time x is 0 when y = 200.

Option b: Now, we shall determine the exponential function of the population.

The general formula for exponential function is $y=a \cdot b^{x}$

Where a is the starting point and $a=200$

b is the common difference.

To determine the common difference, let us divide,

$\frac{300}{200} =1.5$

Also, $\frac{450}{300} =1.5$

Hence, the common difference is $b=1.5$

Thus, substituting the values $a=200$ and $b=1.5$ in the formula $y=a \cdot b^{x}$ ,

we have, $y=200(1.5)^x$

Hence, An exponential function that represents the population is $y=200(1.5)^x$

Option c: To determine the population after 10 minutes, let us substitute $x=10$ in $y=200(1.5)^x$ , since the x represents the population of the bacteria in minutes.

Thus, we have,

$\begin{aligned}y &=200(1.5)^{x} \\&=200(1.5)^{10} \\&=200(57.67) \\&=11534\end{aligned}$

Hence, the population after 10 minutes is 11534(app)

7 0

3 years ago

Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,

Katena32 [7]

Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts.

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750

BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.

3 0

2 years ago

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Simplify the expression 21z - 6z + 13

Bess [88]

Answer:

15z+13

Step-by-step explanation:

hey! all we have to do is combine like terms.

21z-6z+13

15z+13

there's your answer.