15·x²=15·x so
x²=x
x·x=x with x≠0 than x must be 1
x=1
2a+1 + 3a+2 +5a-9 you would start by combining like terms
2a+3a+5a= 10a
1+2-9= -6
10a-6=94
then subtract 94-6=88
then divide 88 by 10= 8.8
a=8.8
Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
All real numbers
Interval Notation:
−∞,∞)
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
C = 0.007x² − 2.8x + 100
There are two ways we can find the minimum. The first is by noticing that this is an upwards parabola, so the minimum is at the vertex. For y = ax² + bx + c, the vertex is at x = -b/(2a).
x = -(-2.8) / (2 × 0.007)
x = 200
Alternatively, we can minimize C using calculus. Take the derivative with respect to x and set to 0:
dC/dt = 0.014x − 2.8
0 = 0.014x − 2.8
x = 200
Area of a triangle can be calculated as:
Area = 0.5 x Base x Height
Area is given to be 52 in²
Height is 13 inches.
We are to find the base b of the triangular shaped guitar.
Using the values in above formula, we get:
Thus the base of triangular shaped guitar will be 8 inches.