Step-by-step explanation:
(3x+20)² is the same as
(3x+20)(3x+20)
you need to have for different numbers
SO
3x*3x is 9x²
3x*20 is 60x
20*3x is also 60x
20*20 is 400
put it together
9x²+60x+60x+400
simplify to
9x²+120x+400
Answer:
x = 22
Step-by-step explanation:
+ 2 = 6 ( subtract 2 from both sides )
= 4 ( square both sides to clear the radical )
x - 6 = 4² = 16 ( add 6 to both sides )
x = 22
The required ratio of cakes baked to hours worked = 30: 1
<u>Concept:</u>
We know that a ratio is a term in mathematics that signifies how many times one value contains the other.
<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.
<u>Explanation:</u>
From the given graph, it can observe that,
30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).
The required ratio of cakes baked to hours worked = 30: 1
Learn more:
brainly.com/question/24728840
Answer:
x = ± 2
Step-by-step explanation:
Given
2x² + 11 = 131 ( subtract 11 from both sides )
2x² = 120 ( divide both sides by 2 )
x² = 60 ( take the square root of both sides )
x = ± = ± = ± 2
Answer:
Step-by-step explanation:
Let be the length and width of the base of the prism and,
be the height of the prism.
Now height of the prism is 2 feet less than the length and width.
So
Volume of the the square prism is
Now we graph both the functions.
The point at which they intersect each other is
So, the length of the prism is .