Answer:
<em>p</em><em>=</em><em>-</em><em>7</em>
Step-by-step explanation:
11+2p=p+4
2p-p=-11+4
p=-7
Answer:
4
Step-by-step explanation:
4d + 1 = 17
1 + 4d = 17
Move all terms containing d to the left, all other terms to the right.
1 + -1 + 4d = 17 + -1
0 + 4d = 17 + -1
4d = 17 + -1
4d = 16
d = 4
Answer:
c = 1.05p
Step-by-step explanation:
the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p
Let illustrate with an example.
The price of a hat was $100, after the 5% increase. the cost of the hat becomes
100 + (0.05 x 100) = 105
To find the percentage increase
divide 105 by 100 and subtract 1
(105/100) - 1 = 1.05
Answer:
-8/7 =x
Step-by-step explanation:
-2 x+1
----- = -----------
12 x+2
Using cross products
-2 (x+2) = 12 (x+1)
Distribute
-2x -4 = 12x+12
Add 2x to each side
-2x+2x -4 = 12x+2x+12
-4 = 14x +12
Subtract 12 from each side
-4-12 = 14x
-16 = 14x
Divide each side by 14
-16/14 =14x/14
-8/7 =x
F(x) = x^2 + 3x + 2
if g(x) is the reflection of f(x) across the x - axis then
g(x) = -f(x)
g(x) = - (x^2 + 3x + 2)
g(x) = - x^2 - 3x - 2