Answer:
A mathematical equation is an equation with zero or one variables (e.g., 9 = 6 + 3; 9 = x + 3), whereas an algebraic equation
Step-by-step explanation:
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:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!
