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natima [27]
3 years ago
6

If (x - 5) is a factor of f(x), which of the following must be true?

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0

Answer:

A root of f(x) is x=5

Step-by-step explanation:

If (x-5) is a factor of f(x), then 5 is a root.

If (x+5) is a factor of f(x), then -5 is a root.

So we are only given that (x-5) is a factor of f(x), so we only know that x=5 is a root.

This is by factor theorem. It says if (x-c) is a factor then f(c)=0 which means c is a root of f(x) because it makes the expressions equal to 0.

Minchanka [31]3 years ago
6 0
The second choice is true.
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Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
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\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
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3 0
3 years ago
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 millimete
KiRa [710]

Answer: the probability that a measurement exceeds 13 milliamperes is 0.067

Step-by-step explanation:

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

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µ = mean current

σ = standard deviation

From the information given,

µ = 10

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For x = 13,

z = (13 - 10)/2 = 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.933

P(x > 13) = 1 - 0.933 = 0.067

6 0
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Answer:

ok

Step-by-step explanation:

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5 0
2 years ago
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