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tia_tia [17]
2 years ago
14

Paul has just enough money to buy either 5 erasers and 30 pencils or 10 erasers and 24 pencils. Each eraser costs $0.30. How muc

h does each pencil cost?
Mathematics
1 answer:
jasenka [17]2 years ago
6 0
Each pencil will cost $0.25
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Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?
svlad2 [7]

Answer:

C. f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))

Step-by-step explanation:

We want to find the equation of a polynomial the following properties;

i. Leading coefficient is 1

ii. roots (7 + i) and (5 – i) with multiplicity 1

Recall the complex conjugate properties of the roots of a polynomial.

According to this property, if

a+bi is a root of a polynomial, then the complex conjugate, a-bi  is also a root.

This means that:

(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial.

The complete set of roots are:

x=(7+i),x=(7-i),x=(5-i),x=(5+i)

Therefore the polynomial is:

f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))

The correct choice is C.

3 0
2 years ago
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Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards. Football cards take up the first 18
Ierofanga [76]

Answer:

162

Nine time Nine times Two gets you the answer provided

5 0
2 years ago
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Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days w
Elan Coil [88]

12.857 days

Step-by-step explanation:

Since the number of days is passing the same for both Nick and Perry we can assign the unknown value (no. Of days) the same denotation of x

Therefore;

180 – 6x = 0 + 8x

180 = 8x + 6x

180 = 14x

X = 12.857

Learn More:

For more on calculating unknown values check out;

brainly.com/question/10578482

#LearnWithBrainly

4 0
2 years ago
Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6
zalisa [80]

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3)\\
\\
=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\
\\
=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is

The result 6 x^4 - x^3 - 19 x^2 + 2 x + 12   is a polynomial.


4 0
2 years ago
The battery life for Bruhier's cell phone is longer when he has fewer apps running. When only one app is running, the battery wi
trapecia [35]

Answer:inverse, 16, 2

Step-by-step explanation:

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2 years ago
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