this is neither a geometric nor an arithmetic sequence
add 4, add 6, add 8
Since you have options, I would guess and check
n=2
2^2+2 =6
3(2)-1 = 5 no
(2+1) (2+2) =12 no
Choice A
Answer:
1.
2.
5. (q+3r)(q^2-3qr+9r^2)
7. x= - 4/7, 1/9
See below for additional problems and help.
Step-by-step explanation:
To factor polynomials, look for patterns and greatest common factors. When you remove these factors, write the factor and what remains.
For example:
Notice the term is left and is the term when the expression is divided by -m.
2. Factor by grouping is similar. Pull out factors within pairs of term. Separate the terms by parenthesis. If the quantities in the [parenthesis are the same, the factoring has been successful.
Notice that (2w+7c) is the same. The factoring is complete. The factors are:
3 - 6 is similar using specific forms for factoring. To find the forms, look in your notes or at resources on online. Here is one example.
4. A sum of cubes has the form
.
To use this form, take the cube root of each term. a = q and b=3r.
The factors are
7-9 all involve factoring and then solving. You solve by setting the factors equal to 0.
7. (7x+4)(9x-1) = 0
(7x+4) = 0 (9x-1)=0
7x=-4 9x = 1
x= - 4/7 x = 1/9
Unit price = total price / size
unit price for 25 ounce can :
$4.80 / 25 ounces = $0.192 per ounce
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form