Find the quadratic equation whose solutions have a sum of 3/4 and a product of 1/8. To get started, you will need to figure out the values of the coefficients a, b, and c. Then show that the resulting equation works by solving the equation, followed by checking that the solutions have the indicated sum and product. Your final equation should have coefficients that are integers, with no common factors between them all (other than 1).

8x² - 6x + 1 = 0

Step-by-step explanation:

Quadratic:

x² - (sum)x + product = 0

x² - ¾x + ⅛ = 0

To avoid fractions, multiply by 8

8x² - 6x + 1 = 0

x = ½ and ¼

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.