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2 years ago

Simplify 4(6 - 2x) - 3(3 - 4x) 4x + 15 15 - 20x 15 - 6x

Mathematics

2 answers:

Leto [7]2 years ago

8 0

Answer:

4x+15 Is the answer

Step-by-step explanation:

4(6−2x)−3(3−4x)

Distribute:

=(4)(6)+(4)(−2x)+(−3)(3)+(−3)(−4x)

=24+−8x+−9+12x

Combine Like Terms:

=24+−8x+−9+12x

=(−8x+12x)+(24+−9)

=4x+15

shutvik [7]2 years ago

5 0

Hey there!

“ Simplify 4(6 - 2x) - 3(3 - 4x)”

FIRST: you have to DISTRIBUTE

4(6) + 4(–2x) + (–3)(3) + (–3)(–4x)

4(6) = 24

4(–2x) = –8x

–3(3) = –9

–3(–4) = 12x

NEW EQUATION: 24 – 8x – 9 + 12x

SECOND: COMBINE your LIKE TERMS

(24 – 9) + (–8x + 12)

24 – 9 = 15

–8x + 12 = 4x

OR........ (MAINLY this one )

(–8x + 12) + (24 - 9)

(–8x + 12) = 4x ⬅️ FRONT NUMBER

24 – 9 = 15 ⬅️ BACK NUMBER

ANSWER: 4x + 15 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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3 years ago

which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

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1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

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$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

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$f(x)=(x+3)^{2}-13$ -----> function in vertex form

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we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

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The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

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we know that

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inn [45]

We can say that:
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