Answer: 18x2 + 69x + 65
Step-by-step explanation:
(3x + 5) (~6x + 13)
1. 3x(6x + 13) + 5(6x + 13)
2. 18x2 + 39x + 5(6x + 13)
3. 18x2 + 39x + 30 + 65
4. 18x2 + 69 + 65
Y + 4 = 4/3(x + 1)...first we distribute
y + 4 = 4/3x + 4/3 ...now we subtract 4 from both sides
y = 4/3x + 4/3 - 4
y = 4/3x + 4/3 - 12/3
y = 4/3x - 8/3 <======
u will have a slope of 4/3....and a y int of (0,-8/3)...ur x int is (2,0)
in standard form, it is :
y = 4/3x - 8/3
-4/3x + y = -8/3
4x - 3y = 8....in case u need to find some points to graph
The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
Answer:
d>67
Step-by-step explanation:
Let's solve your inequality step-by-step.
−50−(−9d+7)>−d+10+9d
Step 1: Simplify both sides of the inequality.
9d−57>8d+10
Step 2: Subtract 8d from both sides.
9d−57−8d>8d+10−8d
d−57>10
Step 3: Add 57 to both sides.
d−57+57>10+57
d>67