Answer:
Step-by-step explanation:
To answer this question you first need to know what the inequality symbols mean!
≤ Less than or equal to
≥ Greater than or equal to
So if Ariel has $35 this mean the following:
$1.45 is the flat fee or y-intercept
$0.55 is the slope
This mean the following:
$1.45 + $ 0.55x ≤ $35
$0.55x ≤ $33.55
x≤61
Answer:
34 Cubes
Step-by-step explanation:
<u>Step 1: </u>Find the Volume of the Rectangular Prism
The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.
Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches
<u>Step 2:</u> Find the Volume of the Cube
Edge length of the cube, s=15 Inch
Volume of a Cube =
Volume=
=3375 Cubic Inches
<u>Step 3: </u>Determine how many cubes fit in the prism
To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.
Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube
=141750 ÷ 3375
=34
34 Cubes will fit in the rectangular prism.
-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span></span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span></span>
<span><span>Δ<span>−−</span>√</span>=<span>625<span>−−−</span>√</span>=25</span>
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)−25</span><span>2∗−1</span></span>=<span><span>−130</span><span>−2</span></span>=+65</span>
<span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)+25</span><span>2∗−1</span></span>=<span><span>−80</span><span>−2</span></span>=+40</span></span>
Time = distance / speed
time = 300/194
time = 1.546 hrs...not sure if u need that rounded...if so, then it is 1.5 hrs or 1 1/2 hrs
14x - 34 = 78 <== ur equation
