Answer:
- Infinitely many solutions
Step-by-step explanation:
First, let's organize the equations of the lines into slope-intercept form.
- x + 4y = 1
- => 4y = -x + 1
- => y = -x/4 + 1/4
And,
- 2x + 8y = 2
- => 8y = -2x + 2
- => y = -2x/8 + 2/8
- => y = -x/4 + 1/4
Since both the graphs are the same, the two equations have infinitely many solutions.
Answer:
ok
Step-by-step explanation:
<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Answer:
350
Step-by-step explanation:
The difference is 35, she's spending 35 everyday
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
