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DENIUS [597]
3 years ago
15

How many solutions does the following equation have?

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

There will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation 9x - 4 = - 3x + 5 + 12x have.

Solving the equation and finding the solutions

9x - 4 = - 3x + 5 + 12x

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

9x +3x-12x =  5 + 4

Simplifying

12x-12x =  9\\0=9

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

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Is the relation is a function?
labwork [276]

Answer:

Step-by-step explanation:

Not a Function​ because : (-20, - 7) and (-20,- 10)

each element must associate with a single

-20 to associate two elements: -10; -7

3 0
3 years ago
Which of the following is equal to 8? (-24) divided by (3) (-11) -3 (-3) -11 (-2) x 4
MArishka [77]
-24÷-3 is equal to 8
4 0
4 years ago
Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches.
nignag [31]

Answer:

a) P(75 < x < 80 ) = 0.2088

b) The probability that  average height of all humans less than 65

P( X < 65 ) = 0.0495

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of the Population = 72

Given variance of the Population = 18 inches.

Standard deviation of the Population = √18 = 4.242

Let 'x' be the random variable in Normal distribution

a)

Given X₁ = 75

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721

Given X₂= 80

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885

The probability that  average height of all humans between 75 and 80

P(75 < X < 80 ) = P(0.70721 < Z < 1.885)

                        = | A ( 1.885) - A( 0.70721|

                       = 0.4699 - 0.2611

                      = 0.2088

P(75 < x < 80 ) = 0.2088

b)

<u><em>Step(ii)</em></u>:-

Given X₁ = 65

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650

The probability that  average height of all humans less than 65

P( X < 65 ) = P( Z < - 1.650 )

                 = 1 - P( Z > 1.650)

                = 1 - ( 0.5 + A (1.650))

              =  0.5 - A( 1.65)

             = 0.5 - 0.4505

             = 0.0495

The probability that  average height of all humans less than 65

P( X < 65 ) = 0.0495

4 0
3 years ago
Help me please I haven’t even learned this :,)
Nana76 [90]

Answer:

-11/12 is the answer

Step-by-step explanation:

8 0
3 years ago
A carton of milk has spilled on a tile floor. The milk flow can be expressed with the function m(t) = 9t, where t represents tim
LUCKY_DIMON [66]

Answer:

Part A:  A(m(t)) = π(81t²); Part B:  1017.36

Step by step explanation:

Part A:  

To find A(m(t)), we substitute our value for m(t), 9t, in place of m:

A(m(t)) = πm² = π(9t)² = π(81t²)

A(m(t)) = π(81t²)

Part B:  

Substitute 2 in for t:

A(m(2)) = π(81(2²)) = π(81(4)) = 3.14(324) = 1017.36

7 0
3 years ago
Read 2 more answers
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