−
3.1
x
+
7
−
7.4
=
1.5
x
−
6
(
x
−
3
2
)
Step 1: Simplify both sides of the equation.
−
3.1
x
+
7
−
7.4
=
1.5
x
−
6
(
x
−
3
2
)
−
3.1
x
+
7
+
−
7.4
=
1.5
x
+
(
−
6
)
(
x
)
+
(
−
6
)
(
−
3
2
)
(Distribute)
−
3.1
x
+
7
+
−
7.4
=
1.5
x
+
−
6
x
+
9
(
−
3.1
x
)
+
(
7
+
−
7.4
)
=
(
1.5
x
+
−
6
x
)
+
(
9
)
(Combine Like Terms)
−
3.1
x
+
−
0.4
=
−
4.5
x
+
9
−
3.1
x
−
0.4
=
−
4.5
x
+
9
Step 2: Add 4.5x to both sides.
−
3.1
x
−
0.4
+
4.5
x
=
−
4.5
x
+
9
+
4.5
x
1.4
x
−
0.4
=
9
Step 3: Add 0.4 to both sides.
1.4
x
−
0.4
+
0.4
=
9
+
0.4
1.4
x
=
9.4
Step 4: Divide both sides by 1.4.
1.4
x
1.4
=
9.4
1.4
x
=
6.714286
Answer:
x² - 10x + 21 = 0
Explanation:
The standard form of the quadratic equation is:
ax² + bx + c = 0
This means that we want to have all terms on one side and a zero on the other.
This can be done as follows:
x² - 10x + 16 = -5
Add 5 to both sides of the equation:
x² - 10x + 16 + 5 = -5 + 5
x² - 10x + 16 + 5 = 0
Combine like terms to get the final expression in standard form as follows:
x² - 10x + 21 = 0
Hope this helps :)
Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
The values of a, b, and c are -4,0 and 0 and the parabola opens downward with y-intercept (0,0).
we have
y=-4x^2
<h3>What is the standard form of the quadratic equation?</h3>
The quadratic equation in standard form is equal to
ax^2+bx+c=0
So,In this problem
a=-4, b=0 and c=0
The y-intercept is the value of y when the value of x is equal to zero
y=-4(0)^2=0
The y-intercept is the point (0,0)
The coefficient a is negative, therefore the parabola opens down.
To learn more about the quadratic equation visit:
brainly.com/question/1214333
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