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3 years ago

Consider the equation below .

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

By using change base formula which is :
log x to the base b = (log x)/(log b) to a new base

∴ log₄(x+3) = log (x+3) / log 4
and
log₂(2+x) = log (2+x) / log 2

∴ the correct answer is number one

See the attached figure.

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Post-test about graphs need help

Murrr4er [49]

Answer:

O A. $y=\frac{4}{3} x-\frac{1}{3}$

Step-by-step explanation:

To find the equation of the line, we need to know the slope and the y-intercept.

so, let's start by the slope. We need two points given in the graph.

(4, 5) and (-2, -3)

Then use the Slope-Formula to identify the Slope of the line.

m = slope

m = $\frac{y2-y1}{x2-x1}$ Slope Formula

m = $\frac{-3-5}{-2-4}$ subtract the second y from the first y / second x from first x

m = $\frac{-8}{-6}$ Turn the fraction to positive because two negatives = positi-

m = $\frac{8}{6}$ Simplify

m = $\frac{4}{3}$ Final Answer

The slope of the line is $\frac{4}{3}$ now what about the y-intercept?

The y-intercept is located at the y axis.

It determines how many units the graph goes up or down depending...

Well in this case, the y-intercept is negative because it is below on the yaxis

Then we must determine the y-intercept.

so we know is negative but it isn't exactly on a point so it is formed as a fra-

then we can determine it by seeing when it hits another unit (hard explainin)

y-intercept = -1/3

Final Answer: y = $\frac{4}{3} x-\frac{1}{3}$

7 0

3 years ago

A certain rollercoaster can accomodate 1,600 riders per hour. A digital sign states there are 345 people in line. If you get int

sdas [7]

1 hour I'm pretty sure

7 0

3 years ago

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WILL MARK BRAINLIEST PLEASE ANSWER QUICK: In the equation y = 2x + 3, the number in front of the x is the _______

Rudik [331]

Answer:

Slope

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m = slope

b = y-intercept

We are given y = 2x + 3:

We define our variables:

m = 2

b = 3

Therefore, our slope is 2 and our y-intercept is 3.

6 0

3 years ago

Read 2 more answers

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary,

Sedbober [7]

Answer:

Step-by-step explanation:

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

______%

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

______%

Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

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3 0

3 years ago

Click the score on the graph where you think the balancing point would be for this data.

Ulleksa [173]

Answer:

The balancing point is 23

Step-by-step explanation:

Given

The above graph

Required

Determine the balancing point

This simply means that we calculate the mean.

From the above graph, we have:

$\begin{array}{cc}x & {f} & {21} & {3} & {22} & {5} & {28} & {1} & {29} & {1}\ \end{array}$

So, the mean is:

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{21*3+22*5+28*1+29*1}{3+5+1+1}$

$\bar x = \frac{230}{10}$

$\bar x = 23$

Hence, the balancing point is 23

3 0

3 years ago