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frozen [14]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

first box is x+3

second box is 5

Step-by-step explanation:

To find the first f(x) equation , lets pick two points from the slanting line

(-3,0)(-2,1)

lets find the equation of this line

we need find equation y=mx +b

slope m = \frac{y_2-y_1}{x_2-x_1} = \frac{1-0}{-2-(-3)} =1

m=1  and point is (-3,0)

use formula y-y1=m(x-x1)

y-0 = 1(x-(-3))

y= 1(x+3)

y= x+3

another line is a horizontal line

for horizontal line , slope is always 0

we have line at 5 on y so equation is y=5


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What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6
RoseWind [281]

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

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For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

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3 years ago
Read 2 more answers
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