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Schach [20]
3 years ago
11

If f(x)=3x+2 and g(x)=x2-x find each value. 14. g(2)-2

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
Value 14 so it must be 55 or something
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Which scale factor represents a reduction?<br><br>-3  <br>2 over 3<br>3 over 2<br>2
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A scale factor is a number multiplied to a certain number to determine the magnification of the quantity if the data. This is used to relate the effect of changing one parameter to the dependent variable. For example, if the temperature is doubled, then the volume increases by a factor of 2. To know the second volume, just multiply the first volume by 2.

So, an expansion factor must be more than 1. The greater the number, the greater the extent of expansion. Otherwise, if the factor is expression in proper fractions, the number is then reduced. The negative sign actually does not matter because it might be a vector quantity that expresses only the direction of motion, for example. From the choices, there are two fractions: 2/3 or 3/2. But since 3/2 is an improper fraction and is equal to 1.5, it is expansion because the factor is more than 1. Therefore, the scale factor for reduction is 2/3.
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Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)
antoniya [11.8K]

Answer:  The required polynomial of lowest degree is p(x)=x^3-2x^2+25x-50

Step-by-step explanation:  We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50

Thus, the required polynomial of lowest degree is p(x)=x^3-2x^2+25x-50

4 0
4 years ago
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