Divide both sides by a
Bx + c =0
Subtract c from both sides
Bx= —c
Divide both sides by b
And your answer is x= — c/b
Answer:
The restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Step-by-step explanation:
As we know that
There are two genuine reasons why domains are restricted.
We cannot divide the expression by 0 as it would be undefined then.
We cannot take the square root of a negative number, as the result will not be a defined.
Considering the expression
As we can not put x = 0 in the denominator as it would make the expression undefined.
In other words, the certain values which make the denominator equal to zero for a rational expression will be restricted values.
Hence, the restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
<u>Properties of : c · f(x)</u>
- Graph opens wider/more narrow
- If the absolute value of c is greater than one, the shape narrows
- If the absolute value of c is less than one, it widens
- It can also affect any applied horizontal/vertical shifts
- If c is negative, the shape is reflected over the x-axis (upside-down)
<em><u>In this case, the question is only asking if the function flips a certain way. As seen, "c," (as shown above) is -1, which is less than one. This means that the function will be flipped over the x-axis.</u></em>
<em><u></u></em>
Answer:
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Step-by-step explanation:
Given:
m angle 1 = ( 3x + 10 )°
m angle 2 = ( 5x - 4 )°
To Find:
m∠1 = ?
m∠2 = ?
Solution:
Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m Angle 1 = m Angle 2
Substituting the given values we get
Substituting ' x ' in Angle 1 and Angle 2 we get
m Angle 1 = 3 × 7 + 10 = 31°
m Angle 2 = 5 × 7 - 4 = 31°
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified