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yKpoI14uk [10]
2 years ago
13

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a

point on the graph?
Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

The graph has rotational symmetry, so the point will be reflected across the y-axis.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

PLEASE HELP IM IN THE MIDDLE OF A TEST
Mathematics
Guest
1 year ago
I'm taking that test rn lol
1 answer:
Vikki [24]2 years ago
4 0

If f(x) is an even function, then f(x)=f(-x). In this case, f(6)=8=f(-6).


This is because an even function is symmetric about the y-axis. Hence the outputs of a negative x-value and a positive x-value are the same.


The correct option is the first option.

Since the graph is even, the outputs of a negative x-value and a positive x-value are the same.


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Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi
yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make 39*4 = 156 packages.

But they made only 112 packages means they are short of 156 - 112 = 44 packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

\frac{43 t - 44}{t} = 39 (39 average given in question)

Cross multiplying

39 t = 43 t - 44

Adding 44 in both sides

39 t + 44 = 43 t - 44 + 44

43 t = 39 t + 44

Subtracting 39 t in both sides

43 t - 39 t = 39 t + 44 - 39 t

4t = 44

Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

3 0
2 years ago
Read 2 more answers
At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all
ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?

Answer:

The value is x  =  \$31.986

Step-by-step explanation:

From the question we are told that they paid master's graduates more than 90% of all

Generally from the z-table the z-score for 90% is z =  1.282

This z-score can be mathematically represented as

z =  \frac{x - \mu }{\sigma}

Here x is the hourly wage they offer  employees with master's degrees

substituting  $27.50 for  \mu and   $3.50  for  \sigma  we have

       1.282 =  \frac{x - 27.50 }{3.50}

=> x  =  \$31.986

3 0
2 years ago
Describe 58 as a sum of tens and ones.
d1i1m1o1n [39]
50+8 50 represents tens place value, while 8 represents the ones place value.
6 0
2 years ago
Can someone at least have an estimate of how much money you will need to buy things fro your new house.. ( I mean everything inc
gregori [183]

Answer:

You’ll have to come up with $10,000 - 25,000.

Step-by-step explanation:

You'll need at least this much for your new house because if you think about it appliances are getting expensive. So, is furniture and it also depends on how big the house is. Then again, this is about how much my parents ( $46, 560 ) spent on our house and we still are looking for more furniture.

3 0
2 years ago
Read 2 more answers
Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o
Anuta_ua [19.1K]

Answer:

$54

Step-by-step explanation:

First

45 times .05= 2.25

Second

45 plus 2.25

Third

45 times .15= 6.75

Fourth

45+2.25+6.75

5 0
2 years ago
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