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3 years ago

What is the value of X? A.10 B.7 C.11 D.4

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

the answer is c

Step-by-step explanation:

just guess lol

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What is the sum of the roots of the polynomial shown below? f(x) = x^3 + 2x^2 - 11x-12

svp [43]

Answer:

Sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

Solution:

The general form of cubic polynomial is $a x^{3}+b x^{2}+c x+d=0$ ---- (1)

If we have any cubic polynomial $a x^{3}+b x^{2}+c x+d=0$ having roots $\alpha , \beta , \theta$

Sum of roots $\alpha + \beta + \theta$ = $\frac{-b}{a}$ ---(2)

From question given that,

$x^{3}+2 x^{2}-11 x-12$ --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= $\frac{-2}{1}$

= -2

Hence the sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

4 0

2 years ago

How to make 69% as a fraction in simplest form?

IceJOKER [234]

69% can be written as
69/100
That cannot be reduced any further since 69 and 100 do not have any common factors other than 1

4 0

3 years ago

Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou

luda_lava [24]

0.19 * 7 = 1.33 * 8,00 = 10,640

4 0

2 years ago

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A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold

Lesechka [4]

Answer:

$300$

Step-by-step explanation:

$8 \times 7 \frac{1}{2} \times 5 \times = 300$

5 0

2 years ago

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7^16/7^12=7^-18/? what is the missing denominator

creativ13 [48]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
\\\\\\
x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
\\\\\\
\boxed{x=7^{-22}}\implies x=\cfrac{1}{7^{22}}$

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3 years ago