ANSWER:
y=3/4x-3
How to solve:
Slope: 3/4
(4,0)
y-y=m(x-x)
y-0=3/4(x-4)
y=3/4x-1
Let <em>x</em> be the first number in the sequence, so the first three numbers are
{<em>x</em>, 0.5<em>x</em>, 0.5²<em>x</em>}
Then
{<em>x</em>/4 + 10, 0.5<em>x</em> - 10, 2(0.5²<em>x</em>) + 10}
is arithmetic, so there is some constant<em> c</em> such that
0.5<em>x</em> - 10 = <em>x</em>/4 + 10 + <em>c</em> ==> <em>x</em>/2 - 10 = <em>x</em>/4 + 10 + <em>c</em>
2(0.5²<em>x</em>) + 10 = 0.5<em>x</em> - 10 + <em>c</em> ==> <em>x</em>/2 + 10 = <em>x</em>/2 - 10 + <em>c</em>
Solve the second equation for <em>c</em> :
<em>x</em>/2 + 10 = <em>x</em>/2 - 10 + <em>c</em>
<em>c</em> = 20
Substitute this into the first equation and solve for <em>x</em> :
<em>x</em>/2 - 10 = <em>x</em>/4 + 10 + 20
<em>x</em>/4 = 40
<em>x</em> = 160
Then the terms are
{160, 80, 40}
Answer:
9x + 30 ≤ 22
Step-by-step explanation:
Let x be "a number."
"the sum of a number times 9" is 9x +
"and 30" 9x + 30
"is at most 22" 9x + 30 ≤ 22
Answer:
Step-by-step explanation: 4,666 2/3
