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WARRIOR [948]
3 years ago
13

Which of the following is the complete list of roots for the polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

<h2>x = -4 or x = -2</h2>

Step-by-step explanation:

f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4

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Evgesh-ka [11]

Answer:

He bought 20 shirts

Step-by-step explanation:

shirts -- x

pants -- 3/4 of x

Therefore,

He bought --- 28(3/4 of x) pants and 40(x) shirts.

So, 28(3/4 of x) + 40(x) = 1220

=> 21x + 40x = 1220

=> 61x = 1220

=> x = 20

He bought 20 shirts and 15 pants.

Thenks and meak me brainliest :))

3 0
3 years ago
The triangles are similar. Solve for the missing segment.
PIT_PIT [208]

Answer:

56

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{35+20}{20} = \frac{32+?}{32} ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56

3 0
3 years ago
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Answer:

Step-by-step explanation:

a. 0.31

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3 years ago
A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the ca
vaieri [72.5K]
Catfish≤350 because the catfish cannot generate more than 350 volts.
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3 years ago
The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising
Ahat [919]

For this case we have the following variables:

x: the number of minutes of television Sam watched each day

y: the number of minutes she spent exercising

Then, we have the following function that models the problem:

y = -0.78x + 95

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Substituting in the given equation we have:

y = -0.78 (30) + 95\\y = 71.6

Answer:

the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day is:

72 minutes

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