Answer:
x=0 or x= -3/2
Step-by-step explanation:
Step 1: Subtract 11x from both sides.
24x4+92x−11x=11x−11x
24x4+81x=0
Step 2: Factor left side of equation.
3x(2x+3)(4x2−6x+9)=0
Step 3: Set factors equal to 0.
3x=0 or 2x+3=0 or 4x2−6x+9=0
x=0 or x= -3/2
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
The GCF of 93 and 62 is 31
Answer:
3.0833
Step-by-step explanation:
i dont know how many 3's
Answer:
15 a^2 + -10 a b
Step-by-step explanation:
Expand the following:
5 a (-2 b + 3 a)
Hint: | Distribute 5 a over -2 b + 3 a.
5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):
-2 5 a b + 5 3 a a
Hint: | Combine products of like terms.
5 a×3 a = 5 a^2×3:
5×3 a^2 - 2×5 a b
Hint: | Multiply 5 and 3 together.
5×3 = 15:
15 a^2 - 2×5 a b
Hint: | Multiply 5 and -2 together.
5 (-2) = -10:
Answer: 15 a^2 + -10 a b
