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2 years ago

Solving the following system using the elimination method. 2x+y=-9 2x-5y=-3

Mathematics

2 answers:

leonid [27]2 years ago

8 0

Broke MB did he ryghdjd off rijekrjrirjriirjt

Stells [14]2 years ago

7 0

Answer:

x = -57/14, y = -6/7

Step-by-step explanation:

2x + y = -9

-(2x - 5y = -3)

-------------------- (Add the two equations together)

7y = -6

y = -6/7

2x - 6/7 = -9

2x = -57/7

x = -57/14

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Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

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The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

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