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Allushta [10]
2 years ago
8

I don't understand this factorisation a2+ 4a+3​

Mathematics
1 answer:
Tomtit [17]2 years ago
7 0

Answer:

\boxed{\sf (a + 3)(a + 1)}

Step-by-step explanation:

\sf Factor  \: the  \: following:  \\  \sf \implies  {a}^{2}  + 4a + 3 \\  \\  \sf The \:  factors  \: of \:  3 \:  that \:  sum \:  to \:  4  \\ \sf are \:  3  \: and  \:  1. \\ \\  \sf So,  \\   \sf \implies {a}^{2}  + (3 + 1)a + 3 \\  \\  \sf \implies   {a}^{2}  + 3a + a + 3 \\  \\  \sf \implies a(a + 3) + 1(a + 3)  \\  \\ \sf \implies (a + 3)(a + 1)

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The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your kn
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The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.

<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>

Given:

$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$ and

$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$

The generalized equation of a parabola in the vertex form exists

$y=a(x-h)^{2}+k

Vertex of the function f(x) exists (1, 5).

Vertex of the function g(x) exists (-2, -3).

Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.

The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.

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brainly.com/question/11325676

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8 0
2 years ago
What is 46,290 in scientific notation?
Snezhnost [94]

Answer:

Step-by-step explanation:

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2 years ago
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When two lines cross like this, sum of measures of opposite angles is 180.
this means that:
measure angle AEC + measure angle BED = 180
4x-40 + x+50 = 180
5x +10 = 180
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therefore:
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3 years ago
Is it possible to find the prime factorization of 29 explain why or why not
zhuklara [117]

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2 years ago
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A firm buys components from two suppliers: 60 percent from supplier A and the rest from supplier B. It so happens that 9 percent
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Answer:

0.114,0.5263

Step-by-step explanation:

Given that a firm buys  components from two suppliers:

A : 60%  Defective 9%

B:40%  Defective 15%

a) the probability that the next component the firm buys is defective

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b)  the probability that the component that the firm buys is from supplier B if we know that it is defective

=Prob from B and defective/Prob defective

= \frac{0.40(0.15)}{0.114} \\=0.5263

8 0
3 years ago
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