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const2013 [10]
1 year ago
14

Match the symbol to the meaning f(x) \rightarrow -\infty Answer 1 x \rightarrow a^- Answer 2 x \rightarrow -\infty Answer 3 x \r

ightarrow a^+ Answer 4 x \rightarrow \infty Answer 5 f(x) \rightarrow aAnswer 6 f(x) \rightarrow \infty Answer 7

Mathematics
1 answer:
Helen [10]1 year ago
4 0

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the key terms

\begin{gathered} f(x)\Rightarrow o\text{utput} \\ \rightarrow\Rightarrow approaches \\ a\Rightarrow a \\ \infty\Rightarrow\text{ infinity} \\ -\infty\Rightarrow\text{negative infinity} \end{gathered}

STEP 2: Match the symbol to the meaning

Hence, the correct meaning matching will be:

\begin{gathered} f(x)\rightarrow-\infty\Rightarrow\text{the output approaches negative infinity} \\ x\rightarrow a^-_{}\Rightarrow x\text{ approaches a from the }left \\ x\rightarrow-\infty\Rightarrow x\text{ approaches negative infinity} \\ x\rightarrow a^+\Rightarrow x\text{ approaches a from the right} \\ x\rightarrow\infty\Rightarrow x\text{ approaches infinity} \\ f(x)\rightarrow a\Rightarrow the\text{ output approaches a} \\ f(x)\rightarrow\infty\Rightarrow the\text{ output approaches infinity} \end{gathered}

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enyata [817]

Answer:

Jean paid $2,286 for the snow thrower, with a finance charge of $306.

Step-by-step explanation:

Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

198 + 2,088 = X

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Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

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2 years ago
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Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

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