The equation would be y=2/3x+4
So to finish the equation, you would need the slope and the y-intercept. The y-intercept is where the line hits the y-axis. So it hits the y-axis at (0,4), making the y-intercept 4.
Next find the slope. Do this by picking two points and plugging it into the equation
y2-y1/x2-x1
(0,4) (3,6)
6-4/3-0
2/3
So it would be y=2/3x+4
Answer: 26
Step-by-step explanation:
Let the number be n.
Now,
twice a number =>> 2n
added to 3 =>> 2n + 3
is divided by the number plus 7 is five thirds =>> (2n + 3) / (n + 7) = 5 / 3
(2n + 3) = (5 / 3) × (n + 7)
3 × (2n + 3) = 5 × (n + 7)
6n+9 = 5n + 35
6n - 5n = 35 - 9
n = 26
1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X
(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12
point: (16,12)
Y = x² + 7x - 4
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
