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3 years ago

I need help solving this ASAP thanks! I would really appreciate it ❤️

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

6x² + 8x

Step-by-step explanation:

First, look at the outer box. The area will be equal to (3x+2)(4x). For the inner box, the area will be equal (3x)(2x).

The shaded region is the area of the outer box minus the area of the inner box. In equation form, it is below. Simplify it so that it is in standard form

(3x + 2)(4x) - (3x)(2x)

(12x² + 8x) - (6x²)

6x² + 8x

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82. A company spends x hundred dollars on an advertising

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The company spends $649 on advertising

The sales function after advertising is given as:

$S(x) = 5 + 7\ln(x + 1)$

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

$5 + 7\ln(x + 1) = 19.1$

Subtract 5 from both sides

$7\ln(x + 1) = 14.1$

Divide both sides by 7

$\ln(x + 1) = 2.014$

Take exponents of both sides

$x + 1 = e^{2.014$

$x + 1 = 7.49$

Subtract 1 from both sides

$x= 6.49$

Hence, the company spends $649 on advertising