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Murljashka [212]
2 years ago
14

Given the following​ function, find f(−5), f(0), and f(4). f(x)=x2+5

Mathematics
1 answer:
bulgar [2K]2 years ago
6 0

Answer:

30, 5 , 21

Step-by-step explanation:

substitute the values of x into f(x) , then

f(- 5) = (- 5)² + 5 = 25 + 5 = 30

f(0) = 0² + 5 = 0 + 5 = 5

f(4) = 4² + 5 = 16 + 5 = 21

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In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p
sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}

We know that formula for permutations is given as

_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}

On substituting the given values in the formula we get,

{_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}

=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\
\\
=35\cdot 34\cdot 33=39270

Therefore, there are 39270 ways in which prizes can be awarded.


6 0
3 years ago
on a scale drawing, 5 metres is represented by 4 centimetres. write the scale as a ratio in it's simplest form.​
ryzh [129]

Answer:

<em>The scale factor is 1:125</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

\frac{4}{500}=\frac{1}{125}

The scale factor is 1:125

8 0
3 years ago
The quotient of a number and 4 is at most 5
gladu [14]
N/4 less than or equal to 5
5 0
3 years ago
Estimate the sum of 703 + 620
Natalija [7]
When you estimate, you round each number, the add.
We round them to 
700+620, which is 1320
So our non estimated answer is 1323
But our estimated answer is 1320
7 0
3 years ago
The area of the square is 27 cm.<br> What is the perimeter of the triangle?
Ede4ka [16]

Answer:24

Step-by-step explanation:3x9=27

3+3=6

9+9=18

18+6=24

7 0
3 years ago
Read 2 more answers
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