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zlopas [31]
1 year ago
3

Given the following piecewise function,

Mathematics
1 answer:
Vlad1618 [11]1 year ago
6 0

The value of f(0) is f(0) = 3 and the value of f(-4) is f(-4) = 1

<h3>Determining the value of a function </h3>

From the question, we are to determine the value of the given functions

The functions are

f(0) and f(-4)

First, we will determine the value of f(0)

Since 0 ≥ -2, we will use the function

f(x) = x² + 2x + 3

Thus,

f(0) = (0)² + 2(0) + 3

f(0) = 0 + 0 + 3

f(0) = 3

Now, we will determine the value of f(-4)

Since -4 < -2, we will use the function

f(x) = x + 5

Thus,

f(-4) = -4 + 5

f(-4) = 1

Hence, f(0) = 3 and f(-4) = 1

Learn more on Determining the value of a function here: brainly.com/question/14379796

#SPJ1

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A shop has 8 different types of postcards and at least 13 of each type. how many selections of 12 postcards are there if
Zolol [24]

Answer:

Answered

Step-by-step explanation:

It is a combbinatorics problem. let's think as we need to do 8 partitions  

of these 13 to separate the postcards of different types. So The number of

partitions of n=13 into r=8 terms counting 0's as terms as  C(n+r-1,r-1)​.

(a)

Here n=13 and r=8, put it in the above formula so we get C(13+8-1,8-1)= C(20,7)= 77520 selections.

b).

Here, either (i) we can choose none of type I or (ii) we choose one of type I

Case(i): r=7, n=12 (Here we have only 7 types to choose from​)

Case(ii): r=7, n=11 (Here we have only 11 cards to choose and only 7 types to choose them from)​

Case (i) + Case(ii) = ,C(12+7-1,7-1) + C(11+7-1,7-1) = C(18,6) + (17,6) = 18564+12376 = 30940 selections.

4 0
3 years ago
–0.2(x – 20) = 44 – x
GarryVolchara [31]

-0.2(x-20)=44-x\qquad\text{use distributive property}\\\\-0.2x+4=44-x\qquad\text{subtract 4 from both sides}\\\\-0.2x=40-x\qquad\text{add x to both sides}\\\\0.8x=40\qquad\text{divide both sides by 0.8}\\\\x=\dfrac{40}{0.8}\\\\x=\dfrac{400}{8}\\\\\boxed{x=50}

5 0
3 years ago
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Novosadov [1.4K]
Hi i’m answering on here so i can ask someone something through the messages bc i haven’t answered enough questions
6 0
3 years ago
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Ten less than a number is three more than six times the number.
Dahasolnce [82]

Write it as an equation:

X - 10 = 6x + 3

Now solve for x:

Subtract 3 from both sides:

x-13 = 6x

Subtract 1 x from both sides:

-13 = 5x

Divide both sides by 5:

x = -13/5

6 0
3 years ago
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Chanel is going to paint a chervron design on her wall using the template. She will need to paint 50 of the templates. How many
sashaice [31]

Answer:

350 in²

Step-by-step explanation:

Assuming the solid likes are the design. So we see two parallelograms there.

Area of 1 parallelogram = base x height. Since we have a joint height, we will multiply the total height with the base (both have the same base length) to get the area of 1 design.

1 design = 3.5 x 2 = 7 in²

50 designs = 7 x 50 = 350 in²

8 0
3 years ago
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