4 years ago

Analyze the diagram to complete the statements.

Mathematics

1 answer:

svetoff [14.1K]4 years ago

4 0

Answer:

What are your answer choices?

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For every $9 invested in company A, $2 is invested in company B. Stacey quizzes her children, Krista and Kevin, about how much m

svet-max [94.6K]

Answer:

$108

Step-by-step explanation:

From the above question, we have the proportion:

Company A/Company B

= $9/$2 = x/x24

The next step is : We Cross Multiply

2x = $24 × $9

x = $24 × $9/2

x = $108

Therefore, she will invest in $108 company A if she invests $24 in company B.

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3 years ago

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3 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$