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2 years ago

Evaluating Piecewise Functions: Please explain your answer. Thank you.

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Answer:

f(-1) is undefined.

Step-by-step explanation:

We are given:

$f(x) = \left\{ \begin{array}{ll} -3x-11 & \quad x \leq -5\\ 2 & \quad x > 5 \end{array} \right.$

And we want to find f(-1).

The piecewise function only gives us values for x-values less than or equal to -5 or greater than 5.

Since -1 is fits neither of those conditions, it is not defined.

Our answer is undefined.

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Answer:

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2 years ago

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Help asap!! How can this formula be used in the "real world" (x1+x22,y1+y22)

hoa [83]

It can be used in statics for the major of Mechanical Engineering. You can find the total amount of weight on beams by forces.

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3 years ago

A researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 50% of this population prefers t

Amanda [17]

We will use the Binomial probability formula to find the answer

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ

We have
n, the number of trial = 16
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p, the probability of success = 0.5

Substitute these values into the formula

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3 years ago

mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the

juin [17]

The correct answer is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

2x+4y=54 (because they are ordering 54 tires).

This makes our system

$\left \{ {{x+y=21} \atop {2x+4y=54}} \right.$

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:

$\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right. \\
\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.$

Now we will subtract the second equation from the first one:

$\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right. \\
\\-2y=-12$

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards. Substituting this into the first equation,

x+6 = 21

Subtract 6 from each side:

x+6-6 = 21-6

x = 15

There were 15 bicycles.

3 0

3 years ago