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V125BC [204]
3 years ago
15

2. Evaluate f(x) = 3x+5/x-1 at x = 3

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer

Let f(x) = ax + b

Then

f(x + 1) = a(x + 1) + b

= ax + a + b

Hence, a = 3, and a + b = 5, b = 2

f(-2) = 3(-2) + 2

= -6 + 2

= - 4

f(2x) = 3(2x ) + 2

= 6x + 2

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BigorU [14]
B or Always increasing
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2 years ago
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The stem and leaf plot below could not represent which of the following ​
mario62 [17]

Answer:

Your answer would be D. The height of NBA basketball players in meters

Step-by-step explanation:

It makes sense for the to be 1-9 inches of rain, a plant 1-9 inches, a phone book 1-9 pounds, but there is not a lot of Basketball players that are only one meter tall. ☺ That would be able impossible.

5 0
3 years ago
Please help as soon as possible!
AnnZ [28]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m = \frac{4-6}{8-3} = - \frac{2}{5}, hence

y = - \frac{2}{5} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 4), then

4 = - \frac{16}{5} + c ⇒ c = 4 + \frac{16}{5} = \frac{36}{5}

y = - \frac{2}{5} x + \frac{36}{5} ← equation of line

6 0
3 years ago
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Reports on a student’s ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum
DaniilM [7]

Answer:

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(25.3,6.5)  

Where \mu=25.3 and \sigma=6.5

And for this case we have a score of 31

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

6 0
3 years ago
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never [62]
X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

8 0
3 years ago
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