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ipn [44]
3 years ago
7

Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32

Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer: -80

Step-by-step explanation:

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

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3 years ago
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3 years ago
Which postulate can be used to prove that two triangles are congruent
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Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles. 

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3 years ago
27 Solve for x to the nearest tenth: x² + x - 5 = 0.
Anestetic [448]

Answer:

Step-by-step explanation:

We can use the quadratic formula to get the answer to this

Quadratic Formula: -b +- √b² - 4ac/2a

Once we input A, B, and C into this, and solve any multiplication, we get

x = -1  +- √1 + 20/2

We divide by 2a, which 2a = 2.

-0.5 +- 10.5.

these are the following values of x:

x = 10

x = 11

Pretty sure this is it, hope it helps!

4 0
2 years ago
Karen wants to know how fast her sunflower willgrow. Right now, her sunflower is 3 3/8 inches tall. Ifher sunflower grows 5/8 of
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Answer:

Idhduen

Step-by-step explanation:

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