Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
0.25e − 14 = 26 Then you add 14 from both sides
0.25e=40 Then you divide both sides by 0.25
e=160
Then to check you work you do this:
0.25(160)-14=26
40-14=26
26=26 Correct!!!!
B = 2 + g . . . (1)
g = 6 + r . . . (2)
r = 6 + p . . . (3)
Putting (3) into (2) gives:
g = 6 + 6 + p = 12 + p . . . (4)
Putting (4) into (1) gives:
b = 2 + 12 + p = 14 + p . . . (5)
b + g + r + p = 1200
2 + g + 6 + r + 6 + p + p = 1200
2 + 12 + p + 6 + 6 + p + 6 + p + p = 1200
32 + 4p = 1200
4p = 1200 - 32 = 1168
p = 292
From (5), b = 14 + p = 14 + 292 = 306
Therefore, there are 306 blue mables.
The solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
<h3>How to solve the
compound inequality?</h3>
The compound inequality is given as:
6b < 36 or 2b + 12 > 6
Evaluate the like terms in the individual inequalities
6b < 36 or 2b > -6
Divide the individual inequalities by the coefficients of b
b < 6 or b > -3
Hence, the solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
Read more about compound inequality at
brainly.com/question/1485854
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Answer:All even number except 2 are composite numbers. 4 is the smallest composite number. step-by-step explanation:
