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s344n2d4d5 [400]
2 years ago
10

How many extraneous solutions does the equation below have?

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

Two extraneous solutions

Step-by-step explanation:

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Since the school was opened the number of students has increased 60%. There are 240 students. Calculate the number of the studen
Alja [10]

Answer:

150 students

Step-by-step explanation:

60% = 0.6

x + 0.6x = 240

1.6x = 240

x = 240/1.6

x = 150

7 0
2 years ago
Each team in the softball league plays each of the other teams exactly once. If
Aleks04 [339]
<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because  A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6

Excluding the minus result, you got 7 teams.
6 0
3 years ago
Could someone please help me with this? I would mark you as Brainliest:)
Hunter-Best [27]

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence (a_{i}) (range) and their respective indexes (i) (domain):

i         a_{i}

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is a(i) = 6 + 5\cdot (i - 1).

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence (a_{i}) (range) and their respective indexes (i) (domain):

i         a_{i}

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

a(i) = a_{1} + r\cdot (i - 1) (1)

Where:

a_{1} - First element of the sequence.

r - Arithmetic difference.

i - Index.

If we know that a_{1} = 6 and r = 5, then the algebraic expression for the general term of the sequence is:

a(i) = 6 + 5\cdot (i - 1)

c) If we know that a(i) = 6 + 5\cdot (i - 1) and i = 25, then the 25th term in the sequence is:

a(25) = 6 + 5\cdot (25 - 1)

a(25) = 126

The 25th term in the sequence is 126.

7 0
2 years ago
The area of the region in the first quadrant between the graph of y = k*sin(x) and x-axis (where k &gt; 0 ) on the closed interv
astraxan [27]
Note that 0\le k\sin x\le k in the given closed interval, so the area is exactly given by the definite integral

\displaystyle\int_0^\pi k\sin x\,\mathrm dx

(no absolute values needed!)

Integrating gives

-k\cos x\bigg|_{x=0}^{x=\pi}=-k(\cos\pi-\cos0)=-k(-1-1)=2k
8 0
3 years ago
Jaerd made 12 3/4 cups of snack mix for a party. His guest ate 2/3 of the mix. How much snack did his guest eat
77julia77 [94]

Answer:

8 1/2 cups

Step-by-step explanation:

12 3/4 divided by 3= 4 1/4 times 2 = 8 2/4 = 8 1/2

5 0
2 years ago
Read 2 more answers
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