Answer:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
A
x
+
B
y
=
C
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3
x
−
2
=
y
Move
y
to the left side of the equation because it contains a variable.
3
x
−
2
−
y
=
0
Move
2
to the right side of the equation because it does not contain a variable.
3
x
−
y
=
2
Step-by-step explanation:
Answer:
5
-
/ 28r
sorry I can't put a fraction but the "'/" is the line and 28r goes underneath
Explanation:
Download photomath and take a picture, it will explain it. It would take forever for me to type it out
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.
If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2<span> = 4p(y - k)</span><span>, where the </span>focus<span> is (h, k+p) and the </span>directrix<span> is y = k - p. So, we need to determine the values from the equation.
</span><span>y=1/28(x-4)^2-5
</span>(x-4)^2 = 28(y+5)<span>
(h,k) = (4, -5)
p = 7
focus= </span>(h, k+p) = 4,2
directrix = y = k - p = -12
Hope this answers the question.