Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)
m = 
= 
= - 1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1), then
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - x + 5 ← equation of line
Answer:
Triangle
Step-by-step explanation:
The square root of 99 is irrational.
1) add, equal
2) multiply, equal
3) subtract, equal
A toy company needs to profit at least $500 from selling cars and trucks. A car can make a profit $2 while the truck can $3 profit.
let x be the number of cars
let y be the number of truck
If 200 resources for the car per week, we have:
Profit = $2x + $3y
$500 = $2*200 + $3*y
$500 - $400 = $3y
100 = 3y
y =100/3 = 33.33
The number of trucks needs to produce per week is at least 34 pieces.
