Answer:
for -9x+2>18 its x<-16/9 and for 13x+15≤-4 its x<-19/13
Step-by-step explanation:
Answer:
3816547290
Step-by-step explanation:
this is from a puzzle called notable numbers
Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = (x+2)
g(x) = (x+5)
Putting the value of f(x) and g(x) in equation (1).
→ (x+5) = (x+2) + k
→ = k
→ k =
So , the value of k is 1.
Answer:
(4,0)
Step-by-step explanation:
4x+2y=16
-4y+x=4
Multiply the first equation by 2
2(4x+2y)=16*2
8x +4y = 32
Add the 2nd equation
8x +4y = 32
x -4y =4
--------------------
9x =36
Divide each side by 9
9x/9 = 36/9
x=4
Now solve for y
-4y +x =4
-4y +4 = 4
Subtract 4 from each side
-4y +4-4=4-4
-4y =0
Divide by -4
-4y/-4 =0/-4
y=0
(4,0)
Let x and y be the dimension of the rectangle. Suppose x is the width and y is the length. Since the perimeter is 36, we have
If we increase the length by 1, we change . Similarly, if the width is increased by 2, we change . So, the increased area is
If we substitute the value for y deduced in the first equation, we have
The solutions to this equation are
One of them is negative, so we have to choose the positive one:
Which implies