Answer:
Step-by-step explanation:
6
Desmos graphing calculator will draw this graph for you.
draw 2 curves
y = x^4 + x^3
and
y = 4x^2 + 4x
The roots are the points where the 2 curves intersect.
You can see by simple substitution that one root is zero.
x^4 + x^3 - 4x^2 - 4x = 0
f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root
f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root
f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root
The answer is A
You have to try to determine the sequence, and you try two basic kind of sequences: aritymethic and geometric.
In aritmetic sequeces the relationships is that the difference between any adjacent terms is constant.
For example
´Number of term (n) Term, An
1 7
2 11
3 15
4 19
Then the relationship between adjacent terms is 19 - 15 = 4 = 15 -11 = 4 = 11 - 7 = 4.
You can find, then, a general expression that relates any term with its position.
It is An = 7 + (n-1)*4
In geometric sequences the relationship is found dividing two adjacent terms, because the ratio is constant.
For example:
Number of term Term
1 10
2 20
3 40
4 80
You can then find the relation as: 20/10 = 2 = 40/20 = 2 = 80/40 = 2.
In this case the general term is An = 10 * 2^ (n-1)
Answer:
<h2>y=6x+10a</h2>
Step-by-step explanation:
let the number of children be x
and the number of adults be a
let the total price be y
given that children tickets are $6 each
also, an adult ticket is $10
x+a=14-------1
y=6x+10a----2
Therefore the expression for the total price can be expressed as
<h2> y=6x+10a</h2>
Answer:
m<B = 107°
Step-by-step explanation:
∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.
<D corresponds to <B, therefore,
m<D = m<B
m<D = 180° - (41° + 32°)
m<D = 180° - 73°
m<D = 107°
m<D = m<B = 107°
m<B = 107°
