<h3>
<u>Answer:</u></h3>
<h3>
<u>Step-by-step explanation:</u></h3>
A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.
The inequality given to us is :-
Let's plot a graph to see its interval . Graph attached in attachment .
Now we can see that the Interval notation of would be ,
![\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Corange%20%5Ctt%20%5Cpurple%7B%5Cleadsto%7Dy%20%5Cin%20%5B-2%2C-1%5D%20%7D%7D)
<h3>
<u>Hence</u><u> the</u><u> </u><u>standa</u><u>rd</u><u> </u><u>form</u><u> </u><u>of</u><u> </u><u>inequa</u><u>lity</u><u> </u><u>is</u><u> </u><u>y²</u><u>+</u><u>3y</u><u> </u><u>+</u><u>2</u><u> </u><u>≤</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>the </u><u>Solution</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ineq</u><u>uality</u><u> </u><u>is</u><u> </u><u>[</u><u> </u><u>-</u><u>2</u><u> </u><u>,</u><u> </u><u>-</u><u>1</u><u> </u><u>]</u><u> </u><u>.</u></h3>
Answer:
9.89 m
Step-by-step explanation:
AC is the hypotenuse (H)
x is the opposite (O)
O and H are in sine
sin=O/H
H=O/sin
H=7.9/sin(53)
=9.89187169943418
3 SF
9.89 m
Answer:
p = 
, q = 9
Step-by-step explanation:
4x² + 12x ( factor out 4 from each term )
= 4(x² + 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 3x
= 4(x² + 2( )x + 
- )
= 4(x + )² - 4 ×
= 4(x + )² - 9
Answer:
1, 7, 17, 31
Step-by-step explanation:
2(1)² + 1 - 2 = 3-2 = 1
2(2)² + 1 - 2 = 9-2 = 7
2(3)² + 1 - 2 = 19-2 = 17
2(4)² + 1 - 2 = 33-2 = 31
