Answer:
She spend studying <u>5 hours</u> for social studies test and <u>7 hours</u> for science test.
Step-by-step explanation:
Given:
This week Elise has tests in both social studies and science. She studied for a total of 12 hours for both tests. Elise studied for 2 hours longer for science test than she did for social studies test.
Now, to find hours she spend studying for each test.
Let the number of hours she studied for social studies test be 
So, the number of hours she studied for science test = 
Total hours for both tests = 12 hours.
According to question:
<em>Subtracting both sides by 2 we get:</em>
<em />
<em />
<em>Dividing both sides by 2 we get:</em>
<u>The number of hours she studied for social studies test = 5.</u>
Now, to get the number of hours she studied for science test by substituting the value of 
:
<u>The number of hours she studied for science test = 7.</u>
Therefore, she spend studying 5 hours for social studies test and 7 hours for science test.
Answer:
x = 5 and x = 1 are the factors
Step-by-step explanation:
<h2>step 1) </h2>
identify the a, b, and c values (a=1 b= -6 c=5)
<h2>step 2) </h2>
plug them into the quadratic formula
x = -(-6) ± √(-6)² - 4(1)(5) / 2(1)
<h2>step 3) </h2>
multiply -1 by -6 to get 6
x = 6 ± √(-6)² - 4(1)(5) / 2(1)
<h2>step 4)</h2>
multiply -6 by -6 to get 36
x = 6 ± √36 - 4(1)(5) / 2(1)
<h2>step 5)</h2>
multiply 4 by 1 to get 4
x = 6 ± √36 - 4(5) / 2(1)
<h2>step 6) </h2>
multiply 4 by 5 to get 20
x = 6 ± √36 - 20 / 2(1)
<h2>step 7)</h2>
subtract 36 by 20 to get 16
x = 6 ± √16 / 2(1)
<h2>step 8) </h2>
take the square root of 16 to get 4
x = 6 ± 4 / 2(1)
<h2>step 9)</h2>
multiply 2 by 1 to get 2
x = 6 ± 4 / 2
<h2>step 10) </h2>
add 6 by 4 to get 10
x = 10 / 2
<h2>step 11) </h2>
divide 10 by 2 to get 5 (now you know the first factor is x=5)
x = 5
<h2>step 12)</h2>
subtract 6 by 4 to get 2
x = 2 / 2
<h2>step 13)</h2>
divide 2 by 2 to get 1 (now you have found the final factor x=1)
<h2>step 14)</h2>
you know know that the factors of x²- 6x + 5 are<em><u> x = 5 and x = 1</u></em>
Answer:
here is your answer
t/2
Step-by-step explanation:
Hope this helps you
If yes then do mark my answer as brainliest
