Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
<u>y-1=2x-6</u>
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>
-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.
-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.
This results in y=2x-5. Hope this helped ;)
Answer:
B
Step-by-step explanation:
The central angle ANC is equal to the arc ABC that subtends it, thus
arc ABC = 138° → B
a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as
... c = k·s² + m·s + n
Filling in the given values gives three equations in k, m, and n.

Subtracting each equation from the one after gives

Subtracting the first of these equations from the second gives

Using the next previous equation, we can find m.

Then from the first equation
[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]
There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with
... c = 0.01s² - s + 37
b) At 150 kph, the cost is predicted to be
... c = 0.01·150² -150 +37 = 112 . . . cents/km
c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.
d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.
Answer:
C: 23 cm
Step-by-step explanation:
This is the answer because:
1) Area of trapezoid is: (base1 + base2)/2 x height
2) In this case, it is 14 + 8 which is 22. 22/2 is 11.
3) Now we have to do 253/11 which is 23 cm.
Hope this helps! :D
Answer:
The solutions of the equation x^2-1=-x^2+7 are (-2,3) and (2,3)
Step-by-step explanation:
Please, see the attached file.
Thanks.