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amm1812
3 years ago
10

The two lines graphed below are not parallel. How many solutions are

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Any non-parallel lines in the plane must intersect in one place; thus, there is one solution to the system of equations.

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A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym members
lina2011 [118]

Answer:

See below.

Step-by-step explanation:

So we know that a gym membership costs $25 plus $14 each month.

In other words, the one-time cost is $25 and there will be a cost of $14 each month.

We can write this as:

f(x)=14x+25

Where f(x) equals the total cost given the number of months x.

For 6 months, the total cost will be:

f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109

6 0
3 years ago
Are 4/16 and 0.25/2 equivalent numbers? If so, explain how they are.
Aleksandr-060686 [28]
Two fractions are equivalent if the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of the second and the denominator of the first.
                           4 x 2 ___ 16 x 0.25
                               8 is not equal to 4
Thus, they are not equivalent. 
3 0
3 years ago
Simplify the expression 7g+4p-3g-9p
otez555 [7]

Answer:

4g-5p i think

Step-by-step explanation:

7g-3g=4g

4p-9p=-5p

3 0
3 years ago
Read 2 more answers
You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc
faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0
3 years ago
Please see attachment
Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   x = \frac{1}{\sqrt{2} }  

Step-by-step explanation:

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

Given function

                       f(x) = \frac{-x}{2x^{2} +1}     ...(i)

Differentiating equation (i) with respective to 'x'

                     f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2}  }   ...(ii)

                    f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2}  }

Equating Zero

                   f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2}  } = 0

                 \frac{2x^{2}-1}{(2x^{2}+1)^{2}  } = 0

                2 x^{2}-1 = 0

               2 x^{2} = 1

             x^{2}  = \frac{1}{2}

             x = \frac{-1}{\sqrt{2} }  , x = \frac{1}{\sqrt{2} }

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

Again Differentiating equation (ii) with respective to 'x'

f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4}  }

put

      x = \frac{1}{\sqrt{2} }

f^{ll} (x) > 0

The absolute minimum value at   x = \frac{1}{\sqrt{2} }

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

The value of absolute minimum value

                         f(x) = \frac{-x}{2x^{2} +1}

                       f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}

         on calculation we get

The value of absolute minimum value = - 0.3536      

<u><em>Final answer</em></u>:-

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   x = \frac{1}{\sqrt{2} }    

3 0
3 years ago
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