An employee worked 160.5 hours in may, 165.75 hours in June and 152.25 hours in july. What was the average number of hours you worked each month?

Answers

Answer 1
Answer: To find the average, you have to add everything up and divide by the amount that you have. In this case, you need to add together 160.5, 165.75 and 152.25, and then divide by 3.
160.5+165.75+152.25= 478.5
You've then got to divide this by three.
478.5/3= 159.5
Therefore, the average hour worked each month bu the employee is 159.5
Hope this helps :) 

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Find the distance between (-6,8) and (10,-4)

Answers

The distance between (-6,8) and (10,-4) is 20 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   D = √((x-p)^2 + (y-q)^2) \: \rm units.

We are given that;

The points (-6,8) and (10,-4)

Now,

To use the formula, you need to plug in the values of x1, y1, x2 and y2 into the formula and simplify. For example, to find the distance between (-6,8) and (10,-4), you can do:

d = (10 - (-6))^2 + (-4 - 8)^2

d = (16)^2 + (-12)^2

d = 256 + 144

d = 400

d = sqrt(400)

d = 20

Therefore, the distance formula the answer will be 20 units.

Learn more about distance between two points here:

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Answer:

use the distance formula you can find it on the net

What is the length of the line segment shown on this coordinate grid?First quadrant coordinate grid with a line segment connecting points (2, 6) and (8, 6).


units-----

Answers

use the x values of the 2 points and subtract the biggest number(8)and the smallest (2) and you get 6 that is how long it is 6 units long 
if you have graph paper and you graph the line you can draw a triangle then use the hypotenuse AKA the line and use Pythagorean theorm

Select the algebraic definition for the piecewise function graph.A. 2
B. 4
C. -3 is equal to x <-1
D. -1 is equal to x <1
E. 0
F. 1 is equal to x<3
G. -2 is equal to x<5
H. -3 is equal to x<3
I. 3

Answers

The piece-wise function is defined by:

f(x) = 1, -3 \leq x < -1

f(x) = 2, -1 \leq x < 1

f(x) = 3,  1 \leq x < 3

A piece-wise function is a function that has different definitions, based on the input.

In this graph:

  • When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:

f(x) = 1, -3 \leq x < -1

  • When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:

f(x) = 2, -1 \leq x < 1

  • When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:

f(x) = 3, 1 \leq x < 3

A similar problem is given at brainly.com/question/13205719

Final answer:

A piecewise function is defined by multiple sub-functions, each applying to a certain interval of the main function's domain. An example might be ' -3 is equal to x <-1', representing a portion of the function where any x-value less than -1 outputs -3.

Explanation:

Without the piecewise function graph, it's difficult to identify the correct algebraic definition. However, a piecewise function is a function which is defined by multiple sub functions. Each sub function applies to a certain interval of the main function's domain, which is why we see conditions like 'x < -1' following the function.

For instance, if we look at option C ' -3 is equal to x <-1', it suggests there is a piece of the function where any x-value less than -1 will output -3. It is important to note that these piecewise functions are visualized on a graph, often appearing as lines or curves that start or stop at certain points.

Learn more about Piecewise Functions here:

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Evaluate 2|3y-8|+y if y =2.5

Answers

2|3y-8|+y if y =2.5
2|3(2.5)-8|+2.5 
2|7.5-8|+2.5 
2(0.5)+2.5 
1+2.5
=3.5
Subtitute value of y to the expression:

2 · |3 · 2.5 - 8| + 2.5 = 2 · |7.5- 8| + 2.5 = 2 · |-0.5| + 2.5

= 2 · 0.5 + 2.5 = 1 + 2.5 = 3.5

If it takes Maddox 7.5 hours to drive 375 miles, how far could he drive in 3 hours at the same rate?

Answers

Answer:

150 miles

Step-by-step explanation:

We can use ratios to solve

375 miles       x miles

-------------   = --------------

7.5 hours       3 hours

Using cross products

375 * 3 = 7.5 x

1125 = 7.5x

Divide each side by 7.5

1125/7.5 =x

150 x

Answer:

150 miles

Step-by-step explanation:

375 divided by 7.5 is 50

50 time 3 is 150

Discriminant of 9x^2+12x+4=0

Answers

the\ discriminant\ of\ ax^2+bx+c=0:\ \ \ \ \Delta=b^2-4\cdot b\cdot c \n---------------------------\n9x^2+12x+4=0\ \ \ \Rightarrow\ \ \ \Delta=12^2-4\cdot9\cdot4=144-144=0\n\n\Delta=0\ \ \ \Rightarrow\ \ \ x_0=- (b)/(2a) =- (12)/(2\cdot9) =- (2\cdot2\cdot3)/(2\cdot3\cdot3)= - (2)/(3) \n\nAns.\ The\ discriminant\ is\ \Delta=0
9x^2+12x+4=0\n\n(3x)^2+2\cdot3x\cdot2+2^2=0\n\n(3x+2)^2=0\iff3x+2=0\n\n3x=-2\ \ \ /:3\n\nx=-(2)/(3)\n\n-------------------------------\n\n(a+b)^2=a^2+2ab+b^2