Answer:
x = 7
Step-by-step explanation:
Expand 3x+2(x-5)=25 which looks like
3x+2x-10=25
Add similar elements: ( 3x+2x = 5x)
5x-10=25
Add 10 to both sides
5x-10+10 = 25 + 10
Simplfy
5x = 35
Divide both sides by 5
5x ÷ 5 = 35 ÷ 5
Simplfy:
x = 7
have a wonderful day
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
No
Step-by-step explanation:
The 4.5 cups of peanuts should be 4
