Answer:
for 18 x is 6 and for 20 it is 11
Step-by-step explanation:
For 18, since -1+2x and 5+x is the same thing, set up and equation. WE can simplify to -1+x=5 and then we get x=6
For 20, 18 is 11 since 18=-4+2x. If we simplify we get 22=2x then we can use algebra to say that x=11
Hope this helps :)
Let the leading term of the polynomial, f(x), be axⁿ.
Examine the possibilities.
n a x -> - ∞ x -> +∞
------- ---- ----------- ------------
even a>0 f -> +∞ f -> +∞ Not true
even a<0 f-> - ∞ f-> -∞ True
odd a>0 f-> -∞ f-> +∞ Not true
odd a<0 f-> +∞ f-> -∞ Not true
Answer:
(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.
Answer:
6
Step-by-step explanation:
Inverse proportion.
z = k/w
z = 3, w = 4
Solve for k constant.
3 = k/4
(4)3 = (4)k/4
12=k
The value of k constant is 12.
z = k/w
Put w as 2 and k as 12 and solve for z.
z = 12/2
z = 6
The value of z when w equals 2 is 6.
Check the forward differences of the sequence.
If 
, then let 
be the sequence of first-order differences of 
. That is, for n ≥ 1,
so that 
.
Let 
be the sequence of differences of ,
and we see that this is a constant sequence, 
. In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for 
in terms of 
:
and so on down to
We solve for 
in the same way.
Then
and so on down to
Answer:
14cm, 16 cm, 18 cm
Step-by-step explanation:
Note that
= a:b: c = 7:8:9
We have to find the sum of the proportion
Sum of proportion = 7 + 8 + 9
= 24
Length of side a
7/24 × 48 = 14 cm
Length of side b
8 /24 × 48 = 16cm
Length of side a
9/24 × 48 = 18 cm
What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
14cm, 16 cm, 18 cm
