Answer:
in the first equation: x < -1/6
in the second equation: x≥6
Step-by-step explanation:
just ask!
hope this helps :)
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
The price charged for the batch of cookies is $8.925
Step-by-step explanation:
Marked price refers to the price at which an establishment offers to sale a product. For-profits to occur, marked price is always more than cost price (cost of producing the item)
Here the local bakery has marked up the price by 155%. This means that the local bakery has increased the marked price by 155% above the cost price accrued to them.
The cost price of the cookies= $ 3.5
Hence the increased marked price= (155/100) *3.5
Increased marked price= $ 5.425
Hence the charge customers need to pay for the cookies= increased marked price + cost price
Charge = $5.425+ $3.5= $8.925
the price charged for the batch of cookies is $8.925
Answer:
A or 24
Step-by-step explanation:
In PEMDAS you do the steps from left to right in the name.
So first, you do 3 * x and x = 6 so 3 * 6 which is 18.
then 18 + y and y = 8 so 26
26 minus 2 is 24.
Hope this helped~ ^-^
Answer:
the right answer would be 13