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Svetradugi [14.3K]
2 years ago
11

Given a polynomial f(x), if (x + 2) is a factor, what else must be true?

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

c=-2

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

f(-2)=0

Therefore, the correct option is d.

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The scientific notation 2 x 10^-2 has what value?
PIT_PIT [208]
The value is 0.02

If it is a negative number, you move the decimal over to the left. :)
8 0
3 years ago
Suppose that y varies directly with x. Given x=4 when y=20.<br> Find y when x = 3
scoray [572]

Answer:

y = 15

Step-by-step explanation:

Given: y varies directly with x, x=4 when y=20

To find:  y when x = 3

Solution:

As y varies directly as x, it means that as x increases, y also increases by the same factor.

As y varies directly with x,

y=kx

Here, k is a constant

As x = 4 when y = 20,

20=4k\\k=\frac{20}{4}=5\\\Rightarrow y=5x

Put x = 3

y= 5(3) = 15

4 0
2 years ago
Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
Molodets [167]

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

h(t) = \frac{800}{30}t, 0 \leq t < 30

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

h(t) = 800, 30 \leq t < 35

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at brainly.com/question/13205719

7 0
2 years ago
The ratio of boys to girls in a class room is 5 to 7. If there are 30 boys then how many girls are there
Brums [2.3K]

Answer:

The ratio of boys to girls to 5:7

Let the number of boys be 5x

Let the number of girls be 7x

5x = 30

x = 6

Now just plug in 6 for the x in 7x

and number of girls 7 x 6 = 42

4 0
3 years ago
Read 2 more answers
Case 1: Jackson is a recent college graduate who just got his first job. He commutes approximately 35 minutes each way to his ne
Vikentia [17]
The financially responsible choice would be for Jackson to lease a car for right now. as Jackson moves up in the company to a high paying position he should pay off the car. this way Jackson isn’t in any debt while he’s making his modest income and not have any money left.
3 0
2 years ago
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