Solve for z: 3/4z – 1 = 1/4(z + 8).

Evaluate the following equations

DochEvi [55]

Step-by-step explanation:

A....

Solution ,

$= \frac{h - 3}{3} = 3h \\$

$= h - 3 = 9h$

$= h - 3 - 9h = 0$

$= h - 9h = 3$

$= - 8h = 3$

Change the sign of both side

$= 8h = - 3$

$= h = - \frac{3}{8 } \\$

B....

Solution,

$= \frac{t}{2} = \frac{t + 1}{5} \\$

Multiply the both side by the least common multiple to eliminate the fraction...

$= 5t = 2t + 2$

$= 5t - 2t = 2$

$= 3t = 2$

$= t = \frac{2}{3} \\$

5 0

2 years ago

Thanks guys for all the help :)

ale4655 [162]

Answer:

(2, 6) .

Step-by-step explanation:

The point A has coordinates (5, 9) and B has coordinates (-1, 3).

The midpoint is (5 + -1)/2 , (9 + 3)/2.

= (2, 6) Answer.

5 0

3 years ago

you invest $1000 dollars in an account at 2.5% per year simple interest. How much will you have in the account at the beginning

Lina20 [59]

<span>I = PRT

</span><span>P = 1000
R = 2.5% -- change to a decimal = .025
T = 3
</span>
<span> now we sub I = PRT
I = (1000)(.025)(3)
I = 75
</span><span> so at the end of 3 years, there will be : 1000 + 75 = $ 1075 in the account
</span>
Hope this helps!!
~Lena~
<span />

7 0

4 years ago

Read 2 more answers

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

4 0

2 years ago

If 5x-2=-12,then x= i want to know the answer to this question lol tell me plz

Sonbull [250]

The answer is x=-2. Hope this helps x

4 0

3 years ago