The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Answer: 7 BATCHES
Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal
Now the factory uses 4 9/10 batch of oatmeal
1=7/10 OATMEAL
X=4 9/10 OATMEAL
X=(7/10*1)/4 9/10
=4 9/10*10/7
=490/70
=7
Use the chain rule.
Let u = 25sin²(x), such that dy/dx = dy/du · du/dx
Answer:
SOLUTION #1
If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)
SOLUTION #2
If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D
Answer:
Volume of cylinder = 
Step-by-step explanation:
Given : A cylinder fits inside a square prism.
To find : The volume of cylinder
Solution : Refer the attached graph.
Area of circle = 
Area of square = 
Side of square = diameter of circle= 
Diameter = 2r
∴ Area of square= 
Area of circle is 
of area of square.
Volume is always = area × height
Volume of prism = Area of square × h = 
Volume of cylinder = Area of circle × h =
Now, rate
⇒Volume of cylinder is of Volume of prism.
Volume of Cylinder =
Volume of cylinder = 
Volume of cylinder =
