Answer:
(7, 0).
Step-by-step explanation:
Where the diagonal lines overlap to form squares is where the solutions to the inequality lies.
The point (7, 0) lies in that region.
Answer:
A) (1 s, 2.3 s)
B) (-4 m/s², 3.8 m/s²)
Step-by-step explanation:
The car's position which is the distance is given by the equation;
s(t) = t³ - 5t² + 7t
A) Velocity is the first derivative of the distance. Thus;
v(t) = ds/dt = 3t² - 10t + 7
At v = 0, we have;
3t² - 10t + 7 = 0
Using quadratic formula, we have;
t = 1 and t = 2.3
Thus, time at velocity of 0 is t = (1 s, 2.3 s)
B) acceleration is the derivative of the velocity. Thus;
a(t) = dV/dt = 6t - 10
At velocity of 0, we got t = 1 and t = 2.3
Thus;
a(1) = 6(1) - 10 = -4 m/s²
a(2.3) = 6(2.3) - 10 = 3.8 m/s
Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)
Answer:
$1792
Step-by-step explanation:
512 x 3.50 = $1792
Answer:
EF = 34.3
HD = 53.2
GE = 45.7
GOOD LUCK FOR THE FUTURE! :)
Answer:
(x - 2)(x + 2)
Step-by-step explanation:
(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]
= x² - 4
There are two terms in this expression. Therefore, the give term is a binomial.
(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]
= 2x² + 8x - x - 4
= 2x² + 7x - 4
There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.
(x + 4)(x + 1) = x(x + 1) + 4(x + 1)
= x² + x + 4x + 4
= x² + 5x + 4
This polynomial is having 3 terms therefore, it's a trinomial.
(m - 4)(m + 1) = m(m + 1) - 4(m + 1)
= m² + m - 4m - 4
= m² - 3m - 4
Therefore, this polynomial is a trinomial.
Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.