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ehidna [41]
3 years ago
15

How do i find the solution or can you help me find it please

Mathematics
2 answers:
Verizon [17]3 years ago
8 0

remember, you can do anything to an equation as long as you do it to both sides


we can do a subsitution

y=x+6

y=-7x-10

since y=x+6, we can subsitute x+6 for y in the other equation

y=-7x-10

x+6=-7x-10

add 7x to both sides

8x+6=-10

minus 6 from both sides

8x=-16

divide both sides by 8

x=-16/8=-2


the valu eof x that satisfies both equations is x=-2

Nina [5.8K]3 years ago
3 0

y = x + 6

y = -7x - 10

---

Solve for x in the first equation. Subtract y and x from both sides.

-x = 6 - y

Divide both sides by -1.

x = -6 + y

---

Plug x into the second equation.

y = -7(-6 + y) - 10

Distribute -7 inside the parentheses.

y = 42 - 7y - 10

Combine like terms.

y = 32 - 7y

Add 7y to both sides.

8y = 32

Divide both sides by 8.

y = 4

---

Plug 4 for y into the first equation.

4 = x + 6

Subtract 6 from both sides.

x = -2

---

Your answer is -2; x = -2 satisfies both equations.

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Answer:

The minimum guaranteed mileage is  x = 71489.55

Step-by-step explanation:

From the question we are told that

   The mean is  \mu  =  67900

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Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    P( X  \ge x ) =1-  P( \frac{X - \mu }{\sigma } < \frac{ x -  67900 }{ 2050}  ) = 0.04

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

     P( X  \ge x ) =1-  P( Z

=>  P( X  \ge x ) = P( Z

=>    z = \frac{ x -  67900 }{ 2050}

From the z table, the critical value corresponding to 0.96 to the left of the curve is  

         z = 1.751

So

        1.751 = \frac{ x -  67900 }{ 2050}

=>     x = 71489.55

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Step-by-step explanation:

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