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Andrews [41]
3 years ago
7

Consider the function p(c)=2^c+1 . What is p(3)?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data     I'm not sure if number 1 is a power of not, so I'll answer both cases.

1.- Number 1 is not a power

            p(c) = 2^c + 1

            p(3) = 2³ + 1

            p (3) = 8 + 1

            p(3) = 9

2.- Number 1 is a power

            p(c) = 2^c + 1

            p(3) = 2^3 + 1

            p(3) = 2^4

            p(3) = 16

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Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua
Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630    Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

Dividing both sides by 35

\frac{35x}{35}=\frac{490}{35}\\x=14

Putting x=14 in Eqn 2

y=14+14\\y=28

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

#LearnwithBrainly

4 0
3 years ago
Graph ΔABC and its image after a rotation of 180º about the origin.
ValentinkaMS [17]

Answer:

The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.

Step-by-step explanation:

From the given figure it is noticed that the vertices of  triangle ABC are A(0,0), B(1,5) and C(-4,5).

If a figure rotated at 180º about the origin, then

P(x,y)\rightarrow P'(-x,-y)

The vertices of image are

A(0,0)\rightarrow A'(0,0)

B(1,5)\rightarrow B'(-1,-5)

C(-4,5)\rightarrow C'(4,-5)

Therefore the vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5).

The graph of image and preimage is shown below.

3 0
3 years ago
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2 years ago
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son4ous [18]

Step-by-step explanation:

In order to find the number of solutions, we have to expand both sides out first.

3(x - 2) + 7x =  \frac{1}{2} (6x - 2)

First, expand 3(x-2), which will obtain 3x-6.

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