Answer:
y = -1
Step-by-step explanation:
When solving this equation use the distributive property and get...
-4 (y - 2) = 12
-4y + 8 = 12
-4y = 12 - 8
-4y = 4
y = -1
Answer: After 7 years the population will be one-half the initial amount.
Step-by-step explanation:
Given: Initial population = 500,000
The population declines according to the equation:
, where P is the population in t years later.
One-half the initial amount = 0.5 x 500,000
= 250,000
Put P(t)=250,000, we get
Hence, After 7 years the population will be one-half the initial amount.
Answer:
<u>k = 3</u>
Step-by-step explanation:
one zero of p(x) = kx²– 14 x + 8 is 6 times the other.
let the zeros are ⇒ a and 6a
the equation kx²– 14 x + 8
can be written as k ( x²/k– 14/k x + 8/k)
So, a * 6a = 8/k ⇒ (1)
And a + 6a = 14/k ⇒ (2)
from (2) k = 14/(a + 6a) = 14/(7a) = 2/a
∴ a = 2/k
Substitute at (1)
a * 6a = 8/k
2/k * 12/k = 8/k
solve for k
24/k = 8
k = 24/8 = 3
<u>the value of k = 3</u>
And the zeros will be 2/3 and 4
Answer:
2
Step-by-step explanation:
Copy 1 is a scaled copy of the original triangle. The scale factor is 2, because each side in Copy 1 is twice as long as the corresponding side in the original triangle. , , Copy 2 is a scaled copy of the original triangle.
