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Amiraneli [1.4K]
3 years ago
15

Given the function g(x) = x2 - 4x + 0, determine the average rate of change of

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

4

Step-by-step explanation:

ARC = \frac{g(b) -g(a)}{b-a}, b = 7, a = 1

24/6 = 4

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72 is 25% of students that have a cat, how many total students are there?
Lemur [1.5K]

Answer:

the answer is 288 because 72 would be one fourth or 25% of 288. 72 plus 72 plus 72 plus 72 equals 288 equals 100%

7 0
3 years ago
Midpoint of (1,3) and (4,-5)
crimeas [40]

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

We solve:

m = ( 5/2 ,  -1 )

5 0
2 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
lianna [129]
There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0
3 years ago
Dream Loan Bank offers loans. Carrie borrows $10,500 to help start a business. The loan must be repaid at 4.5% simple interest o
MaRussiya [10]

~~~~~~ \textit{Simple Interest Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount given}\dotfill & \$10500\\r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\t=years\dotfill &10\end{cases}\\\\\\A=10500(1+0.045\cdot 10)\implies \boxed{A=15225}

7 0
2 years ago
A group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete t
stepladder [879]

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

6 0
2 years ago
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