Answer:
<h2>y = -x - 1</h2>
Step-by-step explanation:
From the graph we have:
y-intercept = -1
x-intercept = -1
The slope-intercept form of an equation of a line:
<em>y = mx + b</em>
m - slope
b - y-intercept
Therefore we have: <em>y = mx - 1</em>
Put the coordinates of the x-intercept to the equation:
(-1, 0) → x = -1 and y = 0:
0 = -1m - 1 <em>add m to both sides</em>
0 + m = -m + m - 1
m = -1
Finally we have the equation:
<em>y = -1x - 1</em>
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.
We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63
Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:
38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63
Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9
So at month 9, the 2 plans will cost the same.
Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.
Hope this helps! :D
Step 1: Put a decimal point at the end of the number: 2445000000.<span>
Step 2: Move the decimal point 9 spaces to the left: </span>2.445000000
Number: 2.445000000 aka 2.445<span>
Exponent: 9
Answer: 2.445 x 109</span>
First off, if they’re vertical angles, they have to be congruent. So set the equation up as x=4x-30. Then solve and get the answer of x=10. Therefore your angle measure is 10 degrees
