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3 years ago

Consider these functions

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

9514 1404 393

Answer:

C. 3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

$g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}$

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(x + 2)(x(square)+ x + 1)<br><br>Explain it steps

Dafna11 [192]

Answer:

${x}^{3} + 3 {x}^{2} + 3x + 2$

Step-by-step explanation:

$(x + 2)( {x}^{2} + x + 1)$

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$= {x}^{3} + {x}^{2} + x + 2 {x}^{2} + 2x + 2$

$= {x}^{3} + 3 {x}^{2} + 3x + 2$

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3 years ago

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3 years ago

Find m abc (6x-7) (4x+23)

Salsk061 [2.6K]

Answer:

m∠ABC = 83°

Step-by-step explanation:

The angle ∠abc and ∠dbe are opposed by the vertex. By definition "<em>Two angles opposite the vertex are congruent or equal</em>"

So ∠abc = ∠dbe

Then, to solve this problem you must match both expressions and clear the variable x.

$(6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15$

Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)

So, we have:

$6(15) -7\\= 90 - 7\\= 83\°$ °

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4 years ago

URGENT! DO NOT TROLL!

nexus9112 [7]

Hello!

The formula for area of a circle is $\pi r^{2}$

$\pi$ is 3.14 (which is 22/7), and r stand for the radius, which is half of the diameter. If the diameter is 28 cm, the radius is 14 cm.

$\pi 14^{2}$
$\pi (196)$
616

Answer:
Approximately 616 cm $^{2}$ .

Hope this helps!

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3 years ago