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Lina20 [59]
3 years ago
9

If (X + 8) is a factor of f(x), which of the following must be true?

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer: C

Step-by-step explanation:

If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,

X + 8 = 0

X = 0 - 8

X = -8

If -8 is substituted into f(x), the equation will tend to zero. That is,

F( -8 ) = 0

C is therefore the correct answer.

You might be interested in
Which are the solutions of x2 = –5x + 8?
Nostrana [21]

Answer:

As exact answers:

x=\frac{-5-\sqrt{57} }{2}  and  x=\frac{-5+\sqrt{57} }{2}

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈  1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}            (Ignore the Â, it's a formatting error)

x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}           Simplify

x=\frac{-5±\sqrt{25-(-32)} }{2}               Two negatives make a positive

x=\frac{-5±\sqrt{57} }{2}  

Split the equation at the ± for plus and minus:

x=\frac{-5+\sqrt{57} }{2}  = 1.27491722 ≈ 1.3

x=\frac{-5-\sqrt{57} }{2}  = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

6 0
3 years ago
The following points lies in the solution set of the system of inequalities shown graphed below?
andre [41]
Option C would be the correct answer :)
3 0
3 years ago
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
k0ka [10]

Answer: quadratic

Constant term -6

Quadratic term -18x^2

Linear term -21x

Step-by-step explanation:

(3x+2)(-6x-3)=-18x^2-21x-6

6 0
3 years ago
What is the equation of the line that passes through the point (-4,4) and has a<br> slope of -3
Arte-miy333 [17]

Answer: y-4=-3(x+4) or y=-3x-8

Step-by-step explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4))            [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4)              [distribute]

y-4=-3x-12                [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

3 0
3 years ago
Malcolm has been watching a roulette-style game at a local charity bazaar. The game has only ten numbers on the wheel, and every
Mariana [72]

Answer:

Malcolm is showing evidence of gambler's fallacy.

This is the tendency to think previous results can affect future performance of an event that is fundamentally random.

Step-by-step explanation:

Since each round of the roulette-style game is independent of each other. The probability that 8 will come up at any time remains the same, equal to the probability of each number from 1 to 10 coming up. That it has not come up in the last 15 minutes does not increase or decrease the probability that it would come up afterwards.

5 0
3 years ago
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