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3 years ago

T(x)=2x-9/x-a t(1)=1 Value of a?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

4 0

t(1) = 1 = 2(1)-9 / 1 - a

1 - a = 2 - 9 = -7

a = 1 + 7

a = 8 answer

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The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai

fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

First, we need to find the new mean (average) if one of the employees gets a 3500 raise. The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

The mode is the most common number in a set. Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary. The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

The most common number is still 35600. So the mode hasn't changed: 35600.

4 0

3 years ago

I need help with this

Monica [59]

Using derivatives, it is found that regarding the tangent line to the function, we have that:

The slope is of 962.

The equation of the line is y = 962x - 5119.

<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, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

7 0

3 years ago

Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is

Elza [17]

9514 1404 393

Answer:

90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

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3 years ago

A farmer has a rectangular pen for her goats. The length of the pen can be represented by the expression 2x - 1. The width of th

kolezko [41]

area = 2x² + 7x - 4

the area (A ) of a rectangle = length × width

A = (2x - 1 )(x + 4 ) ← expand using FOIL

= 2x² + 8x - x - 4 = 2x² + 7x - 4

3 0

4 years ago

*PLS HELP!!*

pochemuha

80% of 500 = 500(0.8)=400. Since 415>400, Ayden did meet his goal. Hope this helps!

Hence,

Yes, Ayden painted 15 square meters more.

6 0

2 years ago