True
False
False
True
(I think)
Answer:
h(6) = 32
Step-by-step explanation:
h (x) = x^2 – 4
h(6) =
Let x = 6
h (6) = 6^2 – 4
= 36 -4
= 32
Answer:
5.25
Step-by-step explanation:
27 = 8a - 15
We have to find "a" here.
We add 15 to each side. The 15 cancels out on the left, and we are left with 27+15 = 42. We then have to divide by 8 on each side to get the "a" by itself.
42/8 = 5.25. We can check our work by answering the "number" with the word problem. 8 * 5.25 = 42 and then 42-15 = 27. Our number gets the answer 27, therefore the answer is 5.25!
Hope this helps.
Answer:
-6 and -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a G.P, the nth term is given as
Un=ar^(n-1)
Where
a is first term
n is nth term
And r is common ratio
So in the question given above,
The third term exceed the first term by 16
i.e U3=U1+16
Where U1=a. First term
U3=a+16
Given also that, the sum if the third term and fourth term is 72.
Then U3+U4=72.
We are told to find common ratio (r)
U3=ar^3-1
U3=ar^2
Also, U4=ar^3
U3+U4=72
ar^2+ar^3=72
ar^2(1+r)=72. equation 1
Also for
U3=a+16
ar^2=a+16
ar^2-a=16
a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)
Then,
a(r-1)(r+1)=16. Equation 2
Divide equation 2 by equation 1
a(r-1)(r+1)/ar^2(1+r) =16/72
Then a cancel a and (1+r) cancel (1+r)
So,
(r-1)/r^2=2/9
Cross multiply
9(r-1)=2r^2
2r^2-9r+9=0
Solving the quadratic equation
2r^2-6r-3r+9=0
2r(r-3)-3(r-3)=0
(r-3)(2r-3)=0
r-3=0. Or. 2r-3= 0
Then r=3 or r=3/2
