Answer: No solutions
Step-by-step explanation:
There are no solutions to 0 = x² - x + 1.
[Method One]
We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.
[Method Two]
I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.



-> Negative numbers don't have real square roots, so there is no solution
Answer:
The equation is:
and the number is 72.
Step-by-step explanation:
We have to use mathematical notation to convert the given statement into an equation. As we don't know the exact value of number, we have to use a variable in place of the number.
Let x be the required number then
"A number decreased by 7"

"and then divided by 5"

" is 13."

For solving, multiplying both sides of equation by "5"

Adding 7 on both sides of equation

Hence,
The equation is:
and the number is 72.
1/6 of an hour is equivalent to 10/60 or 10 minutes.
To find out how much 3/4 of an hour is, change the denominator of both fraction so that they match up. We can make this easier by multiplying 4 by 15 to get 60 (hence an hour) and since we multiplied 4 by 15, we also need to multiply 3 by 15 which gets us 45.
We end up with 10/60 and 45/60 or 10 minutes and 45 minutes.
Half of 10 is 5 so we know we'll have a decimal of .5 in our answer.
4 times 10 equals 40 and 40 plus 5 equals 45, so 4.5.
Answer:
10
Step-by-step explanation:
5x2