Hey there!!
The basic slope-intercept formula :
y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.
Given equation : 7x - 2y = 8
We will have to isolate the ' y '
... 7x - 2y = 8
Subtract 7x on both sides
... -2y = -7x + 8
Divide by - 2 on both sides
... y = ( 7x / 2 ) - 4
Hence,
slope = 7/2 = 3.5
y-intercept = ( 0 , -4 )
Hope it helps!!
Answer:
they both has 7 slides and the presentation had a duration of 28 seconds
Step-by-step explanation:
we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10
then we just solve for x
2x+16=3x+10
subtract 10 from each side
2x+6=3x
step 2 subtract 2x from each side
x=6
so both of their presentations are 7 slides long
then to find the length of their presentations we just plug in 6 to one of the equations
2(6)+16
2x6=12 12+16=28 so both of their presentations were 28 seconds
Degree 4 means you'll have x^4 as your leading term. Multiplicity of 3 means you have the same factor 3 times. So if x = -2, then (x + 2) = 0, so (x + 2) is used 3 times. FOIL that out 3 times and you get x^3 + 6x^2 + 12x + 8. Now multiply by (x + 0) to get a 4th degree polynomial of x^4 + 6x^3 + 12x^2 + 8x. There!
Note : Since unit of currency is not defined, I'll be using units.
Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6
now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units
