The expression of the inequality word problems for each question is; As expressed below
<h3>How to express inequalities?</h3>
A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
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Answer:
C 2
Step-by-step explanation:
This is a parabolic function
Notice how we go negative and then positive
y = ax^2 +bx+c
Let x = 0
-5 = a(0) + b(0) +c
c = -5
y = ax^2 + bx -5
Let x = 3
4 = a(3)^2 +b(3) -5
Let x=-3
4 = a(3)^2 -b(3) -5
Add the two equations
4 = a(3)^2 +b(3) -5
4 = a(3)^2 -b(3) -5
----------------------------
8 = 2a (3)^2 - 10
18 = 2 a(9)
18 = 18a
a =1
Solving for b
4 = 1(3)^2 -b(3) -5
4 = 9 -3b -5
4 = 4 -3b
0 = -3b
0 =b
The equation is
y = (x)^2 -5
Letting y = -1
-1 =x^2 -5
Adding 5 to each side
4 = x^2
Taking the square root of each side
±2 = x
x= ±2
Given the choices
Answer: 1763
Step-by-step explanation:
Split this shape into three spaces, to where there are two square-like shapes above one rectangular shape. Next you will find the area of all three separate shapes and add them up to get your total area.
23m times 12m = 276,
23m times 12m = 276,
31m - 12m = 19m, (Here, we are taking the amounts we know of our rectangular shape to get the formula L times W used for determining this shape's area. We use the length of one of the squares(12m) subtracted by the length of both the rectangular shape and one of the squares.(31m) What we get is the lone value of L.
69m times 19m = 1311.
Add 276 + 276 + 1211. Answer = 1763.
Answer: 86
Step-by-step explanation:
Answer:
9 gal
Step-by-step explanation: