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Zigmanuir [339]
3 years ago
14

Meg lives in Indianapolis and wants to visit her mom in lima. How many more kilometers would meg drive if she drove to lima thro

ugh dayton?

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

the question is asking how many more kilometer would meg drive if she stopped in dayton first than if she drove directly to lima. therefore, meg would drive 70.811 more kilometer if she stopped in dayton first than if she drove directly to lima.

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The function f(x)f(x) is a quartic function and the zeros of f(x)f(x) are -6−6, -5−5, -2−2 and 11. Assume the leading coefficien
Luden [163]
<h2>Answer: </h2>

\boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}

<h2>Explanation: </h2>

A quartic function is a function given by the the following equation in standard form:

f(x)=a_{4}x^4+a_{3}x^3+a_{2}x^2+a_{1}x+a_{0} \\ \\ \\ Where: \\ \\ a_{4},a_{3},a_{2},a_{1},a_{0} \ \text{are constant} \\ \\ \text{and} \ a_{4} \ \text{is the leading coefficient}

From the statement we must assume the leading coefficient of f(x) is 11, so:

a_{4}=11

The zeros are:

x=-6 \\ \\ x=-5 \\ \\ x=-2 \\ \\ x=11

So, we can write:

f(x)=11(x-(-6))(x-(-5))(x-(-2))(x-11) \\ \\ \\ So: \\ \\ \mathrm{Rule}:-\left(-a\right)=a \\ \\ \\ Then: \\ \\ f(x)=11\left(x+6\right)\left(x+5\right)\left(x+2\right)\left(x-11\right)

Expand:\left(x+6\right)\left(x+5\right):\ x^2+11x+30: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^2+11x+30\right)\left(x+2\right)\left(x-11\right) \\ \\ \\ Expand:\left(x^2+11x+30\right)\left(x+2\right):\ x^3+13x^2+52x+60:  \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^3+13x^2+52x+60\right)\left(x-11\right)

Expand: \left(x^3+13x^2+52x+60\right)\left(x-11\right):\ x^4+2x^3-91x^2-512x-660 \\  (Distributive \ property)

Finally:

f(x) = 11(x^4 + 2x^3 - 91x^2 - 512x - 660) \\ \\ \boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}

3 0
3 years ago
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meriva

Answer:

C(4)=99.5

Step-by-step explanation:

398 divided by 4 is 99.5

4 is the number of sunglasses and therefore equals x.

So C(4)=99.50

7 0
3 years ago
Add and simplify 3/14+9/14
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This is relatively simple because both have the same common denominator. All you must do is add 3 and 9 together. That gives you 12/14. To simplify we can half both numbers down to 6/7.
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Carlos has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Carlos randomly re
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