Lowest wind chill temperature on Monday was 1/4(-36) = -9 F

The lakes initial level with respect of normal is -8 inches
New level after decreases = -8 - 1 1/4 - 2 3/8 = -11 5/8 inches.

5 0

3 years ago

In a certain class, the ratio of girls to boys was 5 to 4. If there are 80 boys in the class, how many students are there in all

andriy [413]

there are 180 students in the entire class

5 0

2 years ago

Read 2 more answers

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

1 year ago

1/4-5/8n is equivalent to p(2-5n)​

1/4-5/8n is equivalent to p(2-5n)