Answer:
x = - 3, x = 
Step-by-step explanation:
Given
4x² + 2x - 30 = 0 ( divide through by 2 )
2x² + x - 15 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 15 = - 30 and sum = + 1
The factors are + 6 and - 5
Use these factors to split the x- term
2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 5) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
The mean absolute deviation of the set of numbers is 5/4
<h3>How to determine the
mean absolute deviation?</h3>
The set of numbers is given as:
1 1/2, 0, 4 and 2 1/2
Rewrite the set of numbers as:
1.5, 0, 4 and 2.5
Calculate the mean of the set using:
= Sum/Count
So, we have:
= (1.5 + 0 + 4 + 2.5)/4
Evaluate
= 2
The mean absolute deviation is then calculated as:
M.A.D = 1/n * ∑|x - |
So, we have:
M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]
Evaluate the absolute difference
M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]
Evaluate the sum
M.A.D = 1/4 * 5
Evaluate the product
M.A.D = 5/4
Hence, the mean absolute deviation of the set of numbers is 5/4
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Answer:
1, 2, 3
Step-by-step explanation:
solve the inequality by dividing both sides by 2, hence
n ≤ 3
3 = 3 and 1, 2 < 3
hence 1, 2 and 3 all make the inequality true
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius, which is always half of the diameter.
r = 1.8 / 2 = 0.9 cm
circumference :
2×pi×0.9 = 1.8×pi = 1.8 × 3.142 = 5.6556 cm ≈ 5.7 cm
