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3 years ago

Which graph shows the solution to the equation log2 (3x – 1) = 2?

Mathematics

2 answers:

MrRa [10]3 years ago

3 0

the answer is graph b on edg.

amm18123 years ago

3 0

Answer:

Option 2

Step-by-step explanation:

Given : Equation $\log_2(3x-1)=2$

To find : Which graph shows the solution to the equation?

Solution :

First we distribute the equation into two equation.

Let Equation 1 be $y=\log_2(3x-1)$

and Equation 2 be $y=2$

Plot these two equation,

The equation 1 with purple line and equation 2 with orange line.

As these equation are equal there intersection point is given by,

Intersection point (1.667,2)

From the given graph only option 2 gives the correxct intersection point.

So, option 2 is correct.

Refer the attached figures below.

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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population

NikAS [45]

Answer:

The probability that the average weight of the boxes will exceed 94 pounds is 43.25%

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

The probability that the average weight of the boxes will exceed 94 pounds is 43.25%

8 0

2 years ago

-2|x+5| =8 can you plz help me!!

Kitty [74]

Answer:

the answer is here

plz mark as brainlist

Step-by-step explanation:

-2x-10=8

-2x=8+10

X= -18/2

hence X= -9

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almond37 [142]

This expression cannot be simplified any further.

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3 years ago

What is the equation of the line in the following graph? 1)y=x+2

Levart [38]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ subtract 2 from both sides

$-2=b\to b=-2$

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3 years ago

What is 22/28 in simplest form

sveticcg [70]

The answer would be 11/14

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