An instrument for detecting and measuring small electric currents
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. The vertex is the turning point, or minimum, of the function. It is (x, y) = (-4, 0). The x-coordinate there is -4, so the equation of the axis of symmetry is ...
x = -4
Answer:
Estimating the difference of fractions and mixed numbers is similar to estimating sums. Round each fraction or mixed number and then subtract to find the estimate.
Step-by-step explanation:
The difference is about 1.63
(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
.
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows
= 3^8, 27³ = 3^9 and 81² = 3^8. - According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as
× 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25. - So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.