You can plug -x - 1 for y in the first equation
2x - (-x - 1) = 10
2x + x + 1 = 10
Combine
3x = 9
Divide
x = 3
Plug 3 for x in any equation ( I'll use th second equation )
y = - (3) - 1
y = - 3 - 1 = -4
x = 3 ; y = -4
(3, -4)
3x-18 is less than -90
First, you add 18 to both sides of the inequality (getting 3x is less than -72). Then you divide by 3 on both sides giving you your answer x is less than -24
Answer:
x value of vertical asymptote and y value of horizontal asymptote
Step-by-step explanation:
The graph of 1/x approaches infinity as x approaches 0 (the vertical asymptote)
As x gets either bigger or smaller, 1/x approaches the x-axis (from above on the positive side, from below on the negative side) (the horizontal asymptote)
Consider 1/(x-5) + 2, at what value of x does the graph 'go nuts' ?
When the bottom of the fraction becomes 0, x - 5 becomes 0 when x = 5, so the vertical asymptote of g(x) is at x=5
What value of y does f(x) approach as x gets more positive or more negative - as x gets bigger (as an example), y approaches 0
What y value does g(x) approach as x gets bigger? Well, as x gets big, 1/(x-5) gets small, approaching 0. The smallest 0 + 2 can get is 2, so y=2 is the horizontal asymptote
Answer:
A) 
Step-by-step explanation:
The graph has x-intercepts at 
and 
, so our factors for the polynomial will be 
and 
. This means we can rule out options B and D.
Our graph also has a y-intercept of 
when 
, so if we let 
and , we can find the multiplier:
Thus, the correct equation is A)
There are 8 yellow and 24 blue. Our ratio from yellow to blue is 8:24.
To simplify this, we need to see if we can divide 8 and 24 by a common factor.
8 and 24 can be divided by 8, so let's do that.
8/8 = 1.
24/8 = 3.
Your new and simplified ratio is 1:3 from yellow to blue, but we're looking for blue to yellow. Flip the ratio.
3:1 is your ratio.
C.) is your correct answer.
I hope this helps!
