Answer:
IIaI-IbII
Step-by-step explanation:
II-30I-I-5II=
I30-5I=
I25I=
25
II-5I-I-30II=
I5-30I=
I-25I=
25
Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
<h3>Zeros of a function</h3>
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:

<h3>This case</h3>
The quadratic function is f(x) = x² + 4x +9
Being:
the zeros or roots are calculated as:



and



If the content of the root is negative, the root will have no solution within the set of real numbers. Then
has no solution.
Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
Learn more about the zeros of a quadratic function:
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I suppose you mean

Recall that

which converges everywhere. Then by substitution,

which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives

(starting at
because the summand is 0 when
)
b. Naturally, the differentiated series represents

To see this, recalling the series for
, we know

Multiplying by
gives

and from here,


c. This series also converges everywhere. By the ratio test, the series converges if

The limit is 0, so any choice of
satisfies the convergence condition.
Answer: just by looking at the graph, it looks like (-1, -2) is the ordered pair. But to be sure, just plug in the ordered pair
Step-by-step explanation:
6x - y = -4
6(-1) - (-2) = -4
-6 + 2 = -4
-4 = -4
Answer: <u><em>The first number is 8</em></u>
Step-by-step explanation: Let the three No. s be x, y and z respectively
given = x+ y+ z= 72
y=7x
z=7x-18
∴As we know x+ y+ z=72
i.e. x+7x+7x-18=72
15x=72+18=90
15x=90
x=90/15
∴x=8
∴y=7x
7×8=56
∴z=7x-18
56-18=38
∴<u><em>The first no. is x=8</em></u>
<u><em>The second no. is y=7x = 56</em></u>
<u><em>The third no. is z=7x-18 = 38</em></u>