X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
---------------------------
x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
--------------------------
x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
Answer:
12:39
Step-by-step explanation:
First, to make it easier, round the amount of time the movie lasts to the nearest hour. In this case, the movie "lasts" for 2 hours.
Add 2 hours to 10:40am. Note that when it hits 12, the am becomes pm.
10:40 + 2:00 = 12:40
Now, subtract 1 minute from the amount (1 hr 60 min - 1 hr 59 min = 1 min)
12:40 - 0:01 = 12:39
12:39 pm should be the time the movie ends.
~
Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
