Y intercept occurs when x = o so it is -2(0-3) + 4 = -2
x intercepts:-
-2(x - 3)^2 + 4 = 0
(x - 3)^2 = -4/-2 = 2
x - 3 = +/- sqrt2
x = 3 + sqrt2 and 3- sqrt2
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:

In point B:

In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,

In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479

In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898

In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898

Answer:
y = 7
Step-by-step explanation:
Given
4y - 6 = 2y + 8 ( subtract 2y from both sides )
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
Answer:
The shortest side has length 24 ft
Step-by-step explanation:
Try this: 3x + 4x + 5x =96 ft, or
12x = 96 ft
Then x = (96 ft) / 12, or x = 8
Multiplying this factor 8 by 3, we get 24. The shortest side has length 24 ft.
The middle-length side is 4(8), or 32.
The longest side is 5(8), or 40.
Check: Do 40 and 32 and 24 add up to 96 ft?
do 72 and 24 add up to 96 ft?
Yes.
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.