Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
Answer:
6
Step-by-step explanation:
The expression can be rearranged to ...
b = 3 -9/(a+5)
In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.
The attached table shows the values (a, b) = (x₁, f(x₁)).
Answer:
The answer to your question is below
Step-by-step explanation:
Data
function f(x) = x² + 2x - 8
-See the graph below
1) x-intercepts
We observe in the graph that there are no x-intercepts.
2) y-intercepts
We observe in the graph that the y-intercept is (0, 8). Point A
3) axis of symmetry
The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)
4) The vertex is the lowest point of the parabola, this point is (-1, 7)
Point B in the graph.
R= 18
d=r(2)
36=r(2)
36/2=r(2)/2
18=r
Answer:
x = 2/3
Step-by-step explanation:
combine -3 and 1. We get -2 there, and now have:
-2 + 10x = x + 4.
Combining the x terms, we get 9x = 6, so that x = 6/9, or x = 2/3