Step-by-step explanation:
In the field of differential equations, an initial value is an ordinary differential equation together with a specific value, cut the initial condition, of the Unknown function at a given point.
Answer:
17/24
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 24
Multiplying numerators and denominators to get the LCD in all fraction denominators
= 2×4/6×4 + 3×3/8×3
Then rewriting the equation with the equivalent fractions
= 8/24 + 9/24
With like denominators we can operate on just the numerators
= 8/24 + 9/24
= 17/24
First, you need to factor the function. You can do this by finding a pair of numbers whose product is equal to the c term (-6) and whose sum is equal to the b term (-5). These numbers are -6 and 1 (-6*1=-6, -6+1=5). The factored expression takes the form:
(x+1)(x-6)=0
The zeroes can be found by flipping the signs in the parentheses. The zeroes are equal to each number.
The zeroes are -1 and 6.
Hope this helps!!
Answer:
1) the factored form is y= ( x-5 ) ( x+4 )
2) the vertex is (4.5, -0.25)
3) the y intercept is when x equals 0 so it is at (0,20)
4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is (0,20)
5)
a. it dips between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)
b. it is taken at the vertex aka the lowest point so the height is -0.25
Is it multiple choice? An example would be 2, 8, 32...