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2 years ago

Please help meeee!!!!The domain (input values) of the sine function is:

Mathematics

2 answers:

bogdanovich [222]2 years ago

3 0

Answer:

the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

Alexeev081 [22]2 years ago

3 0

Your answer is choice C

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0

3 years ago

Solve the inequality.

maw [93]

The solution to inequality is less than the negative of 21. Then the correct option is C.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−(1/3)x + 10 > 17

Then the solution to the inequality will be

−(1/3)x + 10 > 17

−(1/3)x > 17− 10

−(1/3)x > 7

When the sign is changed then the equality sign also changed.

(1/3)x < −7

x < − 21

The value of x is less than the negative of 21.

Thus, the correct option is C.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0

2 years ago

jamaica class spent 1 3\4 hours in science class. They studied insects for 2\3 of the time. How much time did they spend studyin

viktelen [127]

1 3/4 hours* (2/3)= 1 1/6 hours.

They spent 1 1/6 hours studying insects~

8 0

3 years ago

Read 2 more answers

2 x 6 - 21 divided by 7

Tresset [83]

Hi there!

The answer is -1.2857

Hope this helps!

8 0

3 years ago

HELP PLEASE 80 POINTS

alexgriva [62]

Answer:

x = 15/p
x = -3

Step-by-step explanation:

<h3>Given</h3>

4(px + 1)=64

Solve for x
Find x when p = -5

<h3>Solution</h3>

4(px + 1) = 64
4(px + 1)/4 = 64/4
px + 1 = 16
px = 15
x = 15/p

<u>When p = -5, substitute p:</u>

x = 15/p
x = 15/(-5) = -3

4 0

3 years ago

Read 2 more answers