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Inessa [10]
3 years ago
5

Show work step-by-step:

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer: (a) 8    (b) 12

Step-by-step explanation:

Given : The number of different kinds of soups = 6

The number of different kinds of salad = 2

(a) If you are having either soup or salad, then the total number of choices you have :-

6+2=8

Hence, the total number of choices you have = 8

(b)  If you are having both soup and salad, then the number of choices you have :-

6\times2=12

Hence, the total number of choices you have = 12

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
Which graph shows a function whose inverse is also a function?
strojnjashka [21]

Answer:

A

Step-by-step explanation:

edge2021

3 0
3 years ago
What is the surface area of the square pyramid?
wel
Ok to start you need to break this into a net in your head. Next, calculate each triangle
(6*7)/2 = 21
Then, multiply each triangle by the amount of them.
21*4 = 84
Next, get the area of the square.
7*7 = 49
Lastly, add the triangles and the square up.
49 + 84 = 133
3 0
3 years ago
To determine whether they need to hire extra help for the holiday season, the managers of a railroad company want to estimate ho
nadezda [96]

Answer:

36

Step-by-step explanation:

Data provided in the question:

Standard error = 1.5 minutes             ( ∵ number are repetitive 1.51.5 )  

Standard deviation = 9 minutes        ( ∵ number are repetitive 99 )

Now,

Standard error = ( Standard deviation ) ÷ √n

Here,

n is the sample size

Therefore,

on substituting the respective values, we get

1.5 = 9 ÷ √n

or

√n = 9 ÷ 1.5

or

√n = 6

or

n = 6² = 36

3 0
3 years ago
A light flashes every 1 minute 15 seconds. another flashes every 1 minute 40 seconds. suppose they flash together at certain tim
ASHA 777 [7]

Answer:

5 minutes

Step-by-step explanation:

To get the response to this question, it would be required to convert both times to seconds alone.

For the first, the time It takes to flash is 1 minute 15 seconds which is same as 75 seconds

For the second, it takes 1 minute 40 seconds which is same as 100 seconds.

Now to get the time they would flash together, we need to know their lowest common multiples. The values involved are 75 and 100. Thus, the lowest common multiple of both is 300.

This is equivalent to 300 seconds which is 5 minutes time

6 0
3 years ago
Read 2 more answers
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