Answer:
They have the same slope
Step-by-step explanation:
slope=4
Answer:
y = 4x - 6
Step-by-step explanation:
12x - 3y = 18 is in standard form. We need to convert it to slope-intercept form, which looks like y = mx + b, with m being the slope and b being the y-intercept.
We know that 12x has to do with our slope, and 18 is our y-intercept. We need to put those on the right side of the equation so that we can isolate y on the left side:
12x - 3y = 18
Subtract 12x from both sides.
-3y = -12x + 18
Now, we can divide both sides by -3 to get y by itself.
y = 4x - 6
And that looks like slope-intercept form (y = mx + b).
Hopefully this was helpful! If you have more questions, let me know. :)
Answer:
21 miles/gallon
Step-by-step explanation:
To find his mileage in miles/gallon, divide the number of miles by the number of gallons.
315/15
= 21
= 21 miles/gallon
Answer:
a) (2x+7)(x-4)
b) x = -7/2 and x = 4
Step-by-step explanation:
a) (2x ?)(x ?)
set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)
after trial-and-error, found that 4 and 7 worked (used un-FOIL)
b) 2x + 7 = 0
2x = -7
x = -7/2
*********
x-4 = 0
x = 4
Answer:
g(x), and the maximum is 5
Step-by-step explanation:
for given function f(x), the maximum can be seen from the shown graph i.e. 2
But for the function g(x), maximum needs to be calculated.
Given function :
g (x) = 3 cos 1/4 (x + x/3) + 2
let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)
g(x)= 3 cos1/4(0 + 0) +2
= 3cos0 +2
= 3(1) +2
= 3 +2
= 5 !
