P(x)=-15+7/4=-2
P(y)=12-4/4=2
P=(-2,2)
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, gree
erastova [34]
Answer:
Possibly the answer is 2 green spaces, 2 star spaces, 3 question mark spaces
Step-by-step explanation:
Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
Answer:

Step-by-step explanation:

In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.

Simplify.

Add b to both sides.

Simplify.

Multiply everything by 3 to remove the fractions.

Simplify.
2b + 3b = 45
Simplify.
5b = 45
Divide 5 from both sides.
5b ÷ 5 = 45 ÷ 5
Simplify.
b = 9
For more information on solving variables, check out the following answers!
Answer:
a_n = 28-2n
Step-by-step explanation:
Given sequence is:
26,24,22,20
We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence
The standard formula for arithmetic sequence is:

Here,
a_n is the nth term
a_1 is the first term
and d is the common difference
So,
d = 24-26
= -2
a_1 = 26
Putting the values of d and a_1

Hence, the recursive formula for given sequence is: a_n = 28-2n ..