(a) The 150 gallons of empty space in the tank are being filled at the rate of 1 gallon per minute. The tank will be filled after 150 minutes.

(b) s(0) = 5
.. s'(t) = -2s(t)/(50 +t)

6 0

3 years ago

F(x)=6x^2 +10x−1

KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

$D=b^2-4ac$

In this case you have the following Quadractic function provided in the exercise:

$f(x)=6x^2 +10x-1$

Let's make it equal to 0:

$0=6x^2 +10x-1$

You can identify that:

$a=6\\\\b=10$

Knowing these values, you can substitute them into the formula and then evaluate:

$D=10^2-4(6)(-1)\\\\D=124$

Therefore, since:

$D>0$

You can determine that the it has two distinct real roots.

3 0

3 years ago

Pencils cost 0.55 each. A pack of pencils cost $11. Which equation can be used to fined p the number of pencils in one pack

Lerok [7]

$(0.55 \times p) = 11$
$p = (11 \div 0.55)$

8 0

3 years ago

Rewrite the equation y - 4= 2(x + 4) in slope-intercept form.

Karo-lina-s [1.5K]

First distribute the 2 through the parenthses on the right side.

So we have y - 4 = 2x + 8.

In slope-intercept form, the y is by itself on the left side.

So we add 4 to isolate the y on the left to get y = 2x + 12.

So in slope-intercept form, our equation is y = 2x + 12.

7 0

2 years ago