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3 years ago

Determine if the given functions are even, odd or neither. f(x) = -2x2 - 7 and g(x) = 2x2 + 3

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

Answer:

It's odd.

Explanation:

A function is odd when f(−x)=−f(x)

f(−x)=6(−x)3−2(−x)

=−6x3+2x

=−(6x3−2x)

=−f(x)

Thus, the function is odd.

If a function is odd, then it is symmetric over the x-axis.

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Q#3. if cos x = sqrt(2)/2, and 3pi/2 < x < 2pi, what is sin(x + pi/3)

garri49 [273]

#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))

#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.

#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).

#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5

Hope this helped :L

5 0

3 years ago

Hi how’s your day ? Would you like to help me ?

Feliz [49]

Answer:

Good

I think its the second but i'm not sure because there are no measurements

Good luck

5 0

2 years ago

Need help asap please

cestrela7 [59]

Answer:

9:49 is the answer because question say ratio is square of small and big

6 0

2 years ago

Which property allows you to write the expression (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?

rodikova [14]

Answer:

3+7i

Step-by-step explanation:

3 0

3 years ago

Given congruent triangles name the corresponding sides and corresponding angles

Alborosie

Answer:

See explanation

Step-by-step explanation:

Given $\triangle ABC\cong \triangle ADC$

According to the order of the vertices,

side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);

side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);

side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);

angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);

angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);

angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);

6 0

3 years ago