Answer:
f(x) = 2x+5
Step-by-step explanation:
Given the arithmetic sequence shown
7,9, 11, 13, 15, 17,
THe nth term of the sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 7
d is the common difference = 9-7 = 11-9 = 2
Substitute
Tn = 7 + (n -1)*2
Tn = 7 + 2n - 2
Tn = 2n + 5
Hence the required function is f(x) = 2x+5
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
The unit rate is 4/5 or .8. Simply divide 4/5, and then use that to find your other answers. 3/.8=3 3/4 6 1/4* .8= 5.
4 5
3 3 3/4
5 6 1/4
Answer: you just multiply the big by the percentage. But change the percentage to a decimal. There only two operating when dealing with percentage. Add or subtract. Once you multiply the percentage with big number add or subtract the answers with the big number.
Step-by-step explanation:
956 dude this is not difficult
