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3 years ago

In the equation 2x - y = 4, the x-intercept is 2 and the y-intercept is -4.

Mathematics

1 answer:

geniusboy [140]3 years ago

7 0

Graph c best represents that statement

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

0.4(5x – 12) + 0.5x = 15.2

kvasek [131]

Look at the attached picture ⤴

Hope it will help u..

3 0

3 years ago

Read 2 more answers

0.5x+3.5=6 what is x

nasty-shy [4]

Answer:

Step-by-step explanation:

0.5x=6-3.5

0.5x=2.5

x=2.5÷0.5

x=5

6 0

3 years ago

Read 2 more answers

Help please! thank you.

grin007 [14]

Answer:

since the bases (X) are the same only the exponents will be subtracted and b is greater than a to get a negative exponent

Step-by-step explanation:

5 0

2 years ago

What is 1 + 1????????? ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

jekas [21]

Answer:

1+1=2

Step-by-step explanation:

If you have one cookie and add another cookie that's your second cookie.

6 0

2 years ago