Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Notice that x+4 is one of the denominators, and that x(x+4) is the LCD.
x
Thus, mult. ------- by x(x+4), obtaining x^2.
x+4
Next, mult. [ 1/x + 1/(x+4) by x(x+4), obtaining x+4 + x = 2x+4 or 2(x+4)
x^2
Then the simplified fraction becomes ----------
2(x+4)
Generally Brainly allows you to post only 1 or 2 questions at a time. I will do #15 as a courtesy to you, but want you to try #16 yourself (or to post it separately).
-4, 2, 8, 14, ... is an arithm. seq. Every new term is equal to the previous term, plus 6: -4+6 = 2; 2+6=8, and so on. Thus: first term is a = -4; common difference is d = 6
a(50) = a(1) + (50-1)(6), or a(50) = -4 + (49)(6) = 290 (answer)
10x+20y=150 is the equation I don't quite understand how she would have money left because she spend $150 for her t-shirts and jeans.
48 divided by 3 = 16
16 ounces of trail mix altogether in one bag.
There were only 5 ounces of raisins so 16 - 5 = 11. There are 11 ounces of almonds in each bag of trail mix.
Answer:
2*(5x - 2) + 2*(3x+1) ; Perimeter = 62 centimeters
Step-by-step explanation:
2*(5x - 2) + 2*(3x+1) = 10x - 4 + 6x + 2
= 16x -2
If x = 4 , then Perimeter = 16*4 - 2 = 64 - 2 = 62 cm
