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podryga [215]
3 years ago
14

Which of the following statements have the same result? Explain each step in solving each one.

Mathematics
1 answer:
QveST [7]3 years ago
4 0
First:   f(2) is same as  f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8

Second
 f^(-1) (3) is inverse function.  first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3

x=3
f^-1(3) = 16/3

Third
  2y + 14 = 4y - 2
      we just solve for y
     2y = 16
      y = 8

Now we take that f(x) = y because we both write to be the functions of x

that means that First and third have same result.


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Consider the system of equations.
frosja888 [35]

Answer:

First part: -10x-4y=-12

Second half: infinitely many solutions

Step-by-step explanation:

Just did the assignment and got it correct

6 0
3 years ago
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josh is looking to get a new car because he decided he was spending too much on gas. over the past year he found that he drove 7
Sveta_85 [38]

Josh's monthly fuel expenses are $1,050.

<h3><u>Prices</u></h3>

Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:

  • 27 = 100
  • 33 = X
  • 3300 / 27 = X
  • 122.22 = X
  • 122.22 = 100
  • 100 = X
  • 10000 / 122.22 = X
  • 81.81 = X
  • (7700 / 33) x 4.5 = X
  • 233.33 x 4.5 = X
  • 1050 = X

Therefore, Josh's monthly fuel expenses are $1,050.

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6 0
2 years ago
Please explain how to do this i am lost
mixas84 [53]

Answer: y = 7x - 6

Step-by-step explanation:

7 = m (slope)

-6 = y-intercept

8 0
3 years ago
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Please help! Will mark brainless​
KengaRu [80]
Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:

10 x 9 = 90 mm

Now, find the area of the “missing” part.

5 x 2 = 10 mm

Finally, you deduct the missing part from the complete rectangle!

90 - 10 = 80 mm

The area of this whole thing is 80 mm!

4 0
2 years ago
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HELP PLEASE!!!!!!!!!!!!
Bogdan [553]

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

7 0
3 years ago
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