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aniked [119]
3 years ago
12

What is the solution of log2x − 6 (256) = 4?

Mathematics
2 answers:
timama [110]3 years ago
6 0
So D x= 5 is the right answer

Korvikt [17]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

log_{2x-6}(256)=4

This equation can be written as

(2x-6)^{log_{2x-6}(256)}=(2x-6)^4

256=(2x-6)^4                         [\because a^{log_ax}=x]

Taking 4th root both sides.

4=(2x-6)

4+6=2x

10=2x

5=x

The value of x is 5.

Therefore correct option is D.

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What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
svlad2 [7]

Answer:

y = 2x + 2

Step-by-step explanation:

<em>(a) Slope </em>

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)

The line goes through the points  (-1, 0) and (0, 2).

2 – 0 = m[0 – (-1)]

     2 = m

(b) y-intercept

y = mx + b

Use the point (0, 2)

     2 = 2× 0+ b

     2 = 0 + b

     b = 2

∴  y = 2x + 2

3 0
3 years ago
Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.
IgorLugansk [536]

Answer:

$945.08

Step-by-step explanation:

please give brainliest

6 0
3 years ago
A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0
3 years ago
A dollar bill is worth _____ pennies. When written in decimal format, each penny can be written as ______ of a dollar. 100:10 10
erik [133]
Hey there! :D

A dollar bill is worth 100 pennies. 

$1.00-> .01*100 <=== same thing

When written in decimal format, each penny can be written as 100:1, because there are 100 pennies in a dollar. One penny would just be one out of 100. 

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
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Anastasy [175]
Solving for x
x= -30/5
x= -6 Answer
4 0
4 years ago
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