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guapka [62]
3 years ago
15

Solve the literal equation for x s=2r+3x

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

2r+3x=5

2r+3x+-3=5+-3x

2r=5-3x

2r/2=5-3x

2r/2=5-3x/2

r=1/2⁵ + -3/2x

r=1/2⁵ + -3/2x

hope it helps ya!

Zolol [24]3 years ago
4 0

Answer:

r  =  s /2  -  3 x /2

or

x  =  s /3  −  2 r/ 3

Step-by-step explanation:

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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90
Sholpan [36]

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

3 0
3 years ago
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5. Which equation is true when the value of x is -2<br> Helppppp
DENIUS [597]

Answer:

B

Step-by-step explanation:

because 4(x+3)=6x+16 is true

4(-2+3)=6(-2)+16

4(1)= -12+16

4=4

so the equation is true

hope it helped

4 0
3 years ago
Can someone help please?
Alekssandra [29.7K]

Answer:

y=1X

Step-by-step explanation:

This is because the distance over the money made over the days worked is 2/2 which simplifies to 1 so that would be the one x. then the y intercept is found on the y axis where does the line cross the y axis? this would be at zero so you do not need to put that in the equation

8 0
3 years ago
The number of gallons of water in a large tank at time (t) minutes is given by the function W(t)=160,000-8,000t+t². Find the ave
sergij07 [2.7K]

The number of gallons of water in the tank at t=10 is

... W(10) = 160,000 -10(8000 -10) = 80100

The number of gallons of water in the tank at t=10.5 is

... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25

The rate of change over the interval is

... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5

The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.

The sign is negative, so the amount of water is decreasing.

3 0
3 years ago
The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes
AlladinOne [14]

Answer:

The mode are: 7, 8

Step-by-step explanation:

Given

7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7

Required

Determine the mode

We start by arranging the given data in ascending order

The ordered data are:

7,7,7,7, 8,8,8,8, 10, 11, 11

From the above data.

7 has a frequency of 4

8 has a frequency of 4

10 has a frequency of 1

11 has a frequency of 2

The data with the highest frequency is the mode.

We can see that 7 and 8 both have frequencies of 4

<em>Hence, the mode are: 7, 8</em>

8 0
3 years ago
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