$\frac{t}{t-4}= \frac{t+4}{6} \\ t \neq 4 \\ 6t= (t+4)(t-4) \\ 6t=t^2-16 \\ t^2-6t-16=0 \\ D=b^2-4ac=(-6)^2-4*1*(-16)=36+64=100 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ t_1= \frac{6-10}{2}=-2 \\ \ t_2= \frac{6+10}{2}=8$

Answer: t=-2, t=8

4 0

3 years ago

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

RSB [31]

L (water level) = -0.5 d (days) +34

Place 26 into the (L) variable and solve

26= -0.5 d + 34

0.5 d = 8

d=16

7 0

3 years ago

Compare the table and equation.

insens350 [35]

Answer:

The table and equation have the same slope

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Step 1

Find the slope of the table

we have

$A(4,12)\ B(5,15)$

Substitute the values

$m=\frac{15-12}{5-4}$

$m=\frac{3}{1}=3$

Step 2

Find the slope of the equation

we have

$y=3x$ ------> the equation represent a linear direct variation

The slope is equal to $m=3$

therefore

The table and equation have the same slope

7 0

3 years ago

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