Answer:
see below
Step-by-step explanation:
f(x) +k is a vertical shift
+k shifts the graph up k units
-k will shift the graph down k units
f(x) -2 will shift the graph of f(x) down 2 units
Answer:
Step-by-step explanation:
x + y = 25 ...........................(1)
{4x + 2y =64} / 2 divide the equation by 2
2x + y = 32 ........................(3)
Step Two
subtract (1) from (3)
2x + y = 32
x + y = 25
x = 7
Therefore from equation 1 we get x + y = 25
but x = 7
7 + y = 25 Subtract 7 from both sides.
y = 25 - 7
y = 18
Check
4*x + 2*y = 64
4*7 + 2*18 =? 64
28 + 36 = ? 64
64 = 64
The checks out to be the right answer.
So 119 out of 250 people had a pool in their backyard...119/250 = 47.6%
so out of 10,000 people, expected value of ones with a pool is :
47.6% of 10,000 ...
0.476 * 10,000 = 4760 people <===
The answer is 21 because there are 7 threes so you can just multiply it by 7
Answer:
x =5
Step-by-step explanation:
6 + 8 ( x - 1) = 2 (3x + 4)
Distribute
6+8x-8 = 6x+8
Combine like terms
8x -2 = 6x +8
Subtract 6x from each side
8x-6x -2 = 6x -6x+8
2x -2 =8
Add 2 to each side
2x-2 +2 = 8+2
2x = 10
2x/2 = 10/2
x =5