Answer:
infinitely many
Step-by-step explanation:
Given
12x + 1 = 3(4x + 1) - 2 ← distribute parenthesis and simplify
12x + 1 = 12x + 3 - 2, that is
12x + 1 = 12x + 1
The expressions on both sides are equal.
This indicates that any value of x makes the equation true.
Thus there are infinitely many solutions
Answer:
Principal = $975
Step-by-step explanation:
Formula for interest is;
I = PRT/100
Where;
P is principal
R is interest rate
T is time
We are given;
I = $195
R = 4%
T = 5 years
Thus, making P the subject of the formula, we have;
P = 100I/RT
P = (100 * 195)/(4 * 5)
P = $975
Answer:
(2x – 7) × (2x + 7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (4x² – 49) m²
Dimension =?
The picture in the question above has a rectangular shape. Thus, the area is given by:
Area (A) = Length (L) × Width (W)
A = L × W
The dimension of the shape will be:
L × W
Now, we shall determine the dimension (L × W) as follow:
Area (A) = (4x² – 49) m²
Dimension (L × W) =?
A = L × W
L × W = 4x² – 49
Recall:
4 = 2²
49 = 7²
Thus,
L × W = 2²x² – 7²
L × W = (2x)² – 7²
Different of two squares
L × W = (2x – 7)(2x + 7)
L × W = (2x – 7) × (2x + 7)
Dimension = (2x – 7) × (2x + 7)
Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)
Answer:
-18+9k
Step-by-step explanation:
If you use the distributive property, you get:
(-3*6) and (-3*-3k)
If you simplify each of them you get:
-18+9k
Answer:
22
Step-by-step explanation:
-4(-5)+2
20+2
22
