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Dmitrij [34]
2 years ago
13

Evaluate the piecewise function at the given values of the independent variable.

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

a) f(-1) = 1

b) f(0) = 6

c) f(2) = 8

Step-by-step explanation:

If x is lesser than 0, we have that:

f(x) = 4x + 5

Otherwhise

f(x) = x + 6

(a) f(-1)

Here x = -1.

-1 is lesser than 0

Then

f(x) = 4x + 5

f(-1) = 4*(-1) + 5 = -4 + 5 = 1

(b) f(0)

Here x = 0

When x equals 0

f(x) = x + 6

Then

f(0) = 0 + 6 = 6

(c) f(2)

Here x = 2

When x = 2

f(x) = x + 6

Then

f(2) = 2 + 6 = 8

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Answer:

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Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 up 3 units? A. The x-coordinate o
Katen [24]

Answer:

D. (y-2) becomes (y-5) and -5 < -2

Step-by-step explanation:

When transforming functions, the following applies:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

In this situation, the circle is shifted up 3 units and the variable y which controls this is in the function. To move it up you will subtract 3 in the parenthesis for (y-2) so it becomes (y-5). This will move the vertex 3 units higher.

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3 years ago
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The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
Trava [24]

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

Learn more about the mathematical model here;

brainly.com/question/4960142

#SPJ1

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1 year ago
PLS HELP I GOTTA TURN THIS INNN ​
vagabundo [1.1K]

Answer:

Lauren

Step-by-step explanation:

1/2 is Erin

3/4 is Lauren

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3 years ago
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