Answer:
(h, k )
Step-by-step explanation:
given the standard form of an absolute function
f(x) = a| x - h | + k , then
vertex = (h, k )
4/5/8/87/7/9 is the answer
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for <em>x</em>
- <u>Distribute 4:</u> 4x - 8 = 3x + 1
- <u>Subtract 3x on both sides:</u> x - 8 = 1
- <u>Add 8 to both sides:</u> x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
- <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
- <u>Multiply:</u> 28 = 27 + 1
- <u>Add:</u> 28 = 28
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
Answer:
The spinner
Step-by-step explanation:
The spinner will work because there is a 2/5 chance of landing on green everytime it is spun