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3 years ago

7

HELP ME PLEASEEEEEEEEEEEEEEE

2 answers:

Murljashka [212]3 years ago

5 0

Well i'm gonna be honest : my answer probably is wrong, but here ya go :

so since the y intercept of f(x) is -2 translating that 6 units upwards will make it positive 4

so if six units upwards takes it to g(x) the answer should be 4

anygoal [31]3 years ago

4 0

Ok so the formula they gave you is in the form y=mx+b. What's different however is that they say the graph is translated up 6 units. So the formula f(x)=-4x-2 becomes f(x)=-4x+4 (since b represents how high the graph is). And to find any y intercept, you must make X zero, and -4(0) +4 is now equal to 4 and 4 is your answer

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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