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ollegr [7]
3 years ago
9

Please fast urgent .

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

31. 122

32. 2400 cans

Step-by-step explanation:

31.

fig 1=1

fig 2=10

fig 3=26

fig 4=50

fig 5=82

fig 6=122

32. 520/13=40

40(60)=2400

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Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
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leva [86]

Answer:

6) ≈ 904.74                            7) 88

Step-by-step explanation:

use a caulater and the proper equations

to find the volume of a sphere you must use V=4\3•π•r^3 (four thirds times pi time the radius cubed), plug in 6 into "r" in the equation and that should give you roughly 904.74

To find the volume of a pyramid you must use the equation Lwh\3 (length times width times hight product of which is divided by 3) giving you 88

7 0
3 years ago
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frutty [35]

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

<em><u>To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:</u></em>

<em><u /></em>x^2 - 12x + 35

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<em><u>Group:</u></em>

(x^2 -7x) (-5x + 35)

<em><u>Take out the GCF (Greatest Common Factor):</u></em>

x(x - 7)  -5(x - 7)

(x - 5) (x - 7)

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3 years ago
Read 2 more answers
Maria makes $8.55 an hour working at the jewelry store. Her paycheck shows that she worked 32.5 hours over the past week. How mu
raketka [301]

Answer:

277.88

Step-by-step explanation:

\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer}

855\cdot \:325=277875

8.55\mathrm{\:has\:}2\mathrm{\:decimal\:places}\\32.5\mathrm{\:has\:}1\mathrm{\:decimal\:place}\\\mathrm{Therefore,\:the\:answer\:has\:}3\mathrm{\:decimal\:places}\\=277.875

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2 years ago
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