4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
The relation between pressure and volume is given as
v = 18000/p
where
v = volume, in³
p = pressure, lb/in²
When the pressure is p = 900 lb/in², then the volume is
v = 18000/900 = 20 in³
Answer: 20 in³
Let's solve your inequality step-by-step.
<span><span><span>4x</span>+11</span><23
</span>Step 1: Subtract 11 from both sides.
<span><span><span><span>4x</span>+11</span>−11</span><<span>23−11</span></span><span><span>4x</span><12
</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span><<span>124</span></span><span>x<3
</span><u>Answer:
</u><span> x<<span>3</span></span>
Answer:
b. g(x)=|x+3|-1
Step-by-step explanation:
<span>So we want to know what is the lenght of the sides of the board that has an area of A=144 in^2. Well, we know that the area of a square is A=a^2 where a is the side of a square. So the length of the side is square root of the area: sqrt(144)= 12. So the length of the game board is 12 inches.</span>