Answer:
See answers and explanations
Step-by-step explanation:
A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0
B) Since the discriminant is 0, this means the equation only has one root.
C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)
Answer: 20
H(c) = 6.4 + 0.6c
<u>6.4</u> is the constant.
When the height of the cups is <u>18.4</u> the function is:
18.4 = 6.4 + 0.6c
Then, you add <u>6.4</u> from both sides
18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4 + 6.4
Simplify
18.4 = 6.4 + 0.6c
Switch sides
6.4 + 0.6c = 18.4
Multiply both sides by <u>10</u>
6.4 x 10 + 0.6c x 10 = 18.4 x 10
Refine
64 + 6c = 184
Subtract <u>64</u> from both sides
64 + 6c - 64 = 184 - 64
Simplify
6c = 120
Divide both sides by <u>6</u>
6c/6 = 120/6
c = <u>20</u>
HELP ME PLES
PERIOD, FREQUENCY OR AMPLITUDE
1. Doesn't change period
2. More of this means more energy
3. Increases as a pendulum swings back and forth faster
4. Measured in cycles per second
5. Measured in meters or centimeters
6. This is decreases with smaller swing
7. If the frequency increases, this decreases
8. Measured in Hertz
9. Measured in seconds
10. if it swings back and forth slower, this decrease
11. As it dampens, this decreases
Answer:
180 pages
Step-by-step explanation:
First you find the slope of the line assuming this is linear. it's just the Rise over Run. so go up 4 over 2 which means the slope is going up two. so do 90 times 2 which is 180. That means Jeff read 180 pages.
Answer:
Step-by-step explanation:
Nope, x-√6 is a factor of x^4-36. Let solve the question by factorization method.
x^4 - (√6)^4
x^4 - (√6)^4
(x²)² - (√6²)^²
(x²)² - (√6²)^²
(x² - 6)(x² + 6)
Hence, the required factor forms of equation is (x² - 6)(x² + 6)
Therefore, x-√6 is not a factor of x^4-36.
<u>Formula used while solving the problem :</u>
1. a² - b² = (a + b) (a - b)
2. a^4 - b^4 = ( a² + b²)(a² - b²)
