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Lerok [7]
3 years ago
5

The temperature at sunrise is 42°F. Each​ hour, the temperature rises 7°F. Write an equation that models the temperature​ y, in

degrees​ Fahrenheit, after x hours. What is the graph of the​ equation? Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours.
Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

y = 42 + 7x

Step-by-step explanation:

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Find the intersection points using substitution or elimination for each system of equations:
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Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

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*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
3 years ago
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NeX [460]

       A parallel equation (when graphed) will have the same slope, but a different y-intercept.

       As long as you keep y = -\frac{5}{2}x + b, you can input anything for b to solve this question.

       Given:

y = -\frac{5}{2}x - 5

       Equation of a parallel line:

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     Example answer you can use:

             y = -\frac{5}{2}x - 8

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