Factor a2 - 11a + 30

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

D) is the answer c) is incorrect because a5 + a6 is not -11a

Schach [20]3 years ago

3 0

Answer:

Factor a2 - 11a + 30

A) (6 - a)(5 - a)

B) (a + 2)(a + 15)

D) (a - 6)(a -5)

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?

sertanlavr [38]

Answer:

$Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

$Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( $x$ in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of $f(x)$ and we must find the domain and range of $g(x)$ .

Domain

The domain of $g(x)$ is the domain of $f(x)$ . That is, $Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

Range

We have to define the bounds of the range of $g(x)$ , given that range $f(x)$ is modified by streching and horizontal translation operations:

Lower bound ( $f(x) = j$ )

$g(x) = m\cdot j +p$

Upper bound ( $f(x) = k$ )

$g(x) = m\cdot k +p$

In consequence, the range of $g(x)$ is $Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

3 0

3 years ago

The measure of one angle is 130 which statement is true regarding the 130 angle and angle 3

Dafna11 [192]

According to Figure that is shown below, the correct answer for this problem is:

<span>B. They are alternate interior angles, so angle 3 also measures 130°.

</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.