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2 years ago

The graph of the function f(x) = –(x + 2)(x + 6)is shown below. Which statement about the function is true?

Mathematics

2 answers:

alexdok [17]2 years ago

3 0

Answer:

See options below. No answer choice given.

Step-by-step explanation:

The graph of the function is below. What can be said about the function is the following:

Roots are -2 and -6.
Factors are (x+2) and (x+6)
X-intercepts are (-2,0) and (-6,0)
Y -intercept is (0,-12)
Parabola is concave down due to negative leading coefficient
Vertex is at (-4,4)
Axis of Symmetry is x=-4
Its a quadratic which has a parabola as its graph

notsponge [240]2 years ago

3 0

Answer:

Step-by-step explanation:

The function is increasing for all real values of x where

x < –4.

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Give an example of a polynomial that has the asymptotes of x=5 and y=0.5

BaLLatris [955]

(x²+4x+3)/2(x²-10x+25)

the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5

the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5

this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)] for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4

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2 years ago

Last week, Jamie counted the number of rice grains in his plate, and found he had 250

Reil [10]

30% decrease
175 divided by 250 = 0.7
1 - 0.7 = 0.3
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2 years ago

HELP QUICK!!!<br><br> 5x2+30x+45/(x+3)^2

Ronch [10]

The answer is in the red part but the work is everything on top.

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2 years ago

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Naddika [18.5K]

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

$x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6$

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

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2 years ago

Select the correct answer from the drop-down menu. (X-2) is a factor of x4+ 2x^3-7x^2 -8x +13. The other factors are ___,___, an

ArbitrLikvidat [17]

Answer:

=x4+2x3−7x2−8x+13

Step-by-step explanation:

Let's simplify step-by-step.

x4+2x3−7x2−8x+13

There are no like terms.

Answer:

=x4+2x3−7x2−8x+13

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2 years ago