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Sedbober [7]
3 years ago
6

8.07 Rational or irrational

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer:

Rational

Step-by-step explanation:

Setler79 [48]3 years ago
5 0
Rational Hope this helps
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PLEASE HELP! INVERSE QUESTION!
Katena32 [7]

Last one.

Hope this helps.

3 0
3 years ago
Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is
juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

6 0
3 years ago
If f(x) is shifted 4 units to the left and 6 units up, what is the equAation of the resulting graphs
irina1246 [14]

Answer:

f= (x-4, y+6) or f= (x-4),(y+6)

Step-by-step explanation:

* when you move to the left you are subtracting from x because eventually you'll get to the negatives, if you were going to the right you would add

* going up from y, you would be adding since the further up you go the higher positive number you'll get, if you were going down it would be subtracting from y

4 0
2 years ago
Select all the correct answers. Select all the Expressions that are equivalent to the polynomial below. (3x-7)(2x+8)
Leno4ka [110]

Answer:

6x ² - 10x - 56

Step-by-step explanation:

(3x -7) (2x +8)

To expand this, each term in the first bracket would multiply the other bracket.

3x(2x +8) -7( 2x + 8)

6x ² + 24x - 14x - 56

6x ² + 10x - 56

I hope this was helpful, Please mark as brainliest²

4 0
3 years ago
Read 2 more answers
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