An egg is dropped from the window of a building. the height, in feet, of the egg t seconds after it is thrown is represented by d=-16t^2-7t+61. how many seconds after the egg is thrown will it be 10 feet from the ground?

1.58

Step-by-step explanation:

Okay. We're solving for t because we need to know how many seconds. From the problem, we know the height (10), but we don't know when that height happens.

We can factor by multiplying -16 by 61 first to get -976 and see what multiplies to get -976 AND adds to get -7 at the same time. But we can also use the quadratic formula because, let's be honest, factoring can be a lot of extra work.

Plug both the plus and the minus versions into your calculator and...

There's no such thing as negative time, so -2.02 is automatically disqualified, leaving 1.58 as the answer.

Hope this helps, let me know if I missed anything!

why can't you?

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950