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Kazeer [188]
3 years ago
8

=1/3(3w - 12)= 1/6( 24-6w)

Mathematics
2 answers:
Lina20 [59]3 years ago
7 0

Answer:

i got you it's w=4

Step-by-step explanation:

2w/2=8/2 your going to divide both sides by 2. simplify that which gives you w=4

Taya2010 [7]3 years ago
3 0
1w-4= 4-1w
+1w +1w
——————
2w-4=4
+4 +4
—————
2w=8
———
2. 2



w= 4
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HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

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3 years ago
Estimate 76.216+66.36 by first rounding each number to the nearest whole number.
xeze [42]

Answer:

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Step-by-step explanation:

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76+66=142

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Another math question: You have 15 apples you friend gives you 15 more now withth the total of apples you have, you have to answ
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