Answer:
19) n = -14
20) x = 4
21) b= -14
22) x = 2
23) x = -1
24) x = -9
Step-by-step explanation:
19) Use the distributive property to get rid of the parentheses. You will get: 20-4n = 76. So, n = -14.
20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4
21) Add 3 to both sides to get:
= -1. So, b = -14
22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.
23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1
24) Add 2 to both sides to get:
= -3. So, x = -9
Hope this helps :)
Given:
The equation of the parabola is:

To find:
The y-intercept of the parabola.
Solution:
We have,

Putting
in the given equation, we get



Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).
1. Pythagorean Theorem
2. Converse
3. Pythagorean Theorem
4. Pythagorean Theorem
Answer:
Step-by-step explanation:
( g ° f )(x) = ( x + 7 )² = x² + 14x + 49
20 + 3(x² + 14x + 49) = - 34
20 + 3x² + 42x + 147 = - 34
3x² + 42x + 201 = 0 ⇔ x² + 14x + 67 = 0
D = 196 - 268 = - 72 < 0
There is no any roots in set of real numbers.
The values of x in set of complex numbers are:
=
±
= - 7 ± 3√2 i