Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)
Answer:
x=50/3y
y=50/3x
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
If you’re asking for the cost of the drink, the drink would be $1. This is because 2 sandwiches would cost $10 and that means 1 sandwich would make it $5. If 2 sandwiches cost $10, the remaining $2 in the $12 dollars would be the drinks. 2 drinks for $2 would make 1 drink for $1. So the cost of 5 drinks is $5 or $1 per drink.
If confused, don’t be shy to ask :)
Step-by-step explanation:
you put the values in place of the variable names and calculate.
y² + x + y
(-4)² + -3 + -4 = 16 - 3 - 4 = 16 - 7 = 9
Answer:
b(x) = (3+0.5x) (38-4x)
Step-by-step explanation:
Let the generated revenue per day be b(x)
Let x be the number for every 50cents($0.5) price increase
Formula to be used to generate the revenue generated is expressed using the formula:
b(x) = Price × Quantity
Next is to derive the price and quantity function in terms of x.
For the price:
If he currently charges $3 per book
Let derive the price function for the model and x number of price increase for every 50 cents, then
Price = ($0.5 of x)+$3
Price = $3+$0.5x
Price = $(3+0.5x)
For the quantity:
Number of books rent out per day = 38
If for every 50cents increase in rental price x, the average business can expect to lose 4 rentals a day, then the total lost per quantity = 4x
Quantity per time = Number of books rent out daily - loss on each book
Quantity = $(38-4x)
Next is to substitute the price and quantity function into the revenue formula above:
Revenue = Price × Quantity
Revenue = (3+0.5x)(38-4x)
Hence the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases is b(x) = (3+0.5x)(38-4x)
