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puteri [66]
3 years ago
12

Does anybody know how to do this ?

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
M< means to measure so I would measure
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At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

7 0
3 years ago
2x + 3 = 4x^2<br> completing the square
ch4aika [34]

Answer:

\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}

Step-by-step explanation:

First, make them on one side of the formula in the form of ax^2+bx+c=0 which is 4x^{2} -2x-3=0

Next, insert the corresponding number in the quadratic formula, \frac{-b+\sqrt{b^{2}-4ac } }{2a}  ,\frac{-b-\sqrt{b^{2}-4ac } }{2a} , and the answer can be calculated.

6 0
2 years ago
Twice a number deceased by 7.translate in algebraic expressions​
Dafna1 [17]

Twice a number (2x) decreased by 7 (- 7).

2x - 7

Two times a specfic number (x) subtracted by 7.

8 0
3 years ago
Read 2 more answers
According to the Bohr model, the radius of a hydrogen atom is approximately 5.29 × 10-11 meters.
andrezito [222]
Simplify the expression:
41.9
7 0
3 years ago
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These are the first sentences in the short story, “the gift of magi” by O. Henry: “one dollar ad eighty/seven cents. That was al
saveliy_v [14]
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1 cent

1) You need 2 pennies.
2) You need 7 pennies.
3) You need 9 dimes.
4) You need 2 quarters and 0 nickels.
5) You need 5 nickels.

Hope this helps =)
4 0
3 years ago
Read 2 more answers
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