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Dmitry [639]
3 years ago
9

7) Is -2 a zero (or root) of f(x) = 7x3 + x2 - 9x + 5?

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

Step-by-step explanation:

i do not know

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Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions
Orlov [11]
Rewrite equation so that it is homogeneous . 
ay'' +by' + cy = 0

Solve characteristic equation:
ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a} 

The solutions to the homogeneous equation are:
y = k_1 e^{r_1 t} + k_2 e^{r_2 t}

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}
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3 years ago
If the value of 2x3 is 2, then what is the value of x?
Oduvanchick [21]
ANSWER: x = 1/3

WORKING OUT:

2 times x times 3 = 2

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4 years ago
Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x
monitta

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

f(0) = 0

y-intercept: 0

5 0
3 years ago
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diag
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The answer is A. 21.14 m/s
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3 years ago
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You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc
faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

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3 years ago
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