For graphing make sure to shade the right portion and to make the line dotted like (— — — —)
the red is y>8x-4, the blue is y>-1/2x+1/2
2x-.25y < 1 is equal to 2x-1/4y < 1
multiply each side by 4:
8x-y < 4
add y to each side:
8x < 4+y
subtract 4 from each side:
8x-4 < y
rewrite:
y > 8x-4
4x+8y > 4
divide both sides by 8:
1/2x+y > 1/2
subtract -1/2x from each side:
y > -1/2x + 1/2
Answer:
0,1,-1
Step-by-step explanation:
A.
B
y-2 = 3(x+7) put it in y=mx+b form (slope intercept)
y-2 = 3(x+7) distribute 3
y-2 = 3x+21 add 2 to both sides
+2 +2
y = 3x + 23
so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.
my new line has a slope of 3 and point (4,2)
so we use point slope formula y-y1 = m(x-x1)
y-2 =3(x-4) put it in y=mx+b form (slope intercept)
y-2 = 3(x-4) distribute 3
y-2 = 3x -12 add 2 to both sides
+2 +2
y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer:
On a full tank of gas Jocelyn would be able to travel approximately 617 km
Step-by-step explanation: To find the distance compared to fuel to the amount of fuel you would have to take the fuel efficiency and divide the amount of fuel in the tank by such, by that estimate you'd be able to approximate the distance that would be able to travel per interval of fuel used. I hope this helped, have a wonderful day ^^
