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chubhunter [2.5K]
3 years ago
6

Evaluate the expression for w = -1. -6W2 + 13w + 21 = Submit

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

2

Step-by-step explanation:

In this case, you have to substitute the w for -1, and then do the operation:

-6( -1 )^2 + 13( -1 ) + 21

-6( 1 ) - 13 +21

-6 -13 + 21

-19 + 21

2

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its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
brilliants [131]

T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c  ----- (ii)

<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>

Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c = \frac{-9}{2}

Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0
3 years ago
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ehidna [41]

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serg [7]

Answer:

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Step-by-step explanation:

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Sav [38]

Answer:

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*** This is the meaning of x tending to

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Now, go to the second line at the right and move to the left until you reach the end of the line, which is for x = -1,

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