Answer:
1 3/5 or 8/5 cups for 2 pies
Step-by-step explanation:
Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
Answer:
Step-by-step explanation:
a. Since the parabola is compressed by a factor of 1/3 we can state:
- a parabola is written this way : y=(x-h)²+k
- h stands for the translation to the left ⇒ 2*3=6
- k for the units down ⇒4*3=12
So the equation is : y=(x-6)²+12
b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2
- We khow that a parabola is written this way : y=(x-h)²+k
- (h,k) are the coordinates of the vertex
- the maximum value is 7*0.5=3.5
- we khow tha the derivative of a quadratic function is null in the maximum value
- so let's derivate (x-h)²+k= x²+h²-2xh+k
- f'(x)= 2x-2h h is 1 since the axe of simmetry is x=1
- f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
- Now we khow that 1 is the point where the derivative is null
- f(1)=3.5
- 3.5=(x-1)²+k
- 3.5= (1-1)²+k⇒ k=3.5
So the equation is : y=(x-1)²+3.5
7.
the maximum height is where the derivative equals 0
- h= -5.25(t-4)²+86
- h= -5.25(t²-8t+16)+86
- h=-5.25t²+42t-84+86
- h=-5.25t²+42t+2
Let's derivate it :
- f(x)= -10.5t+42
- -10.5t+42=0
- 42=10.5t
- t= 42/10.5=4
When the height was at max t=4s
- h(max)= -5.25(4-4)²+86 = 86 m
h was 86m
Answer:
Step-by-step explanation:
since you are given two points use the point- slope formula and the slope formula
y-y1 = m( x -x1) and m = y2 -y1 / x2 - x1
find the slope m, 1st
p1 = (x1,y1) given (-8,-2)
p2 = (x2,y2) given (-4,-6)
m = -6-(-2) / -4-(-8)
m = -6+2 / -4+8
m = -4 / 4
m = -1 :)
now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me
y - (-8) = -1(x-(-2))
y+8 = -1(x+2)
y+8 = -x-2
y = -x-2-8
y= -x-10
and your done :)
Answer:
The next number is 127
Step-by-step explanation:
The sequence is the previous number times 2 plus one.
