X² + 18x + 79 = 0
x = <u>-(18) +/- √((18)² - 4(1)(79))</u>
2(1)
x = <u>-18 +/- √(324 - 316)</u>
2
x = <u>-18 +/- √(8)
</u> 2<u>
</u>x = <u>-18 +/- 2√(2)
</u> 2<u>
<em /></u><em />x = -9 <u>+</u> √(2)
x = -9 + √(2) x = -9 - √(2)
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
Answer:
y=15x
Step-by-step explanation:
revenue=cost of hair cut(number of haircuts)
Answer:
its 10.5
Step-by-step explanation:
If you divide what alex earned by his total sales, you get 10.5%.
