Let the number be x, then
1/5 * x = 2/3 * 90
1/5 x = 60
x = 60 * 5 = 300 (answer)
Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
Answer:
1) 2(t - 7)(t + 1)
2) $32,000
Step-by-step explanation:
v(t) = 2t² - 12t - 14
v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)
x = -b/2a = 6/2 = 3
y = 2(3)² - 12(3) - 14 = -32
(3, -32) means at 3 months, -32 thousand dollars
Answer:
48t + 60
Step-by-step explanation:
hope this helps!!
Answer:
B
Step-by-step explanation:
Fact: The diagonals of a parallelogram bisect each other. If NL= 15 the NP = 1/2 NL
1/2 NL = 15/2 = 7.5.
NP = 7.5
Answer: NP = 7.5 B