Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:

or, 
Hence the given expression is simplified.
Answer:
F⁻¹(x) = x/9
Step-by-step explanation:
To find the inverse of a function, you want to switch x and y in the equation and solve for y.
F(x) = 9x
x = 9F(x)
x/9 = F⁻¹(x)
Therefore, the inverse is F⁻¹(x) = x/9.
Add 4 to boh sides
t/5+4-4=9+4
t/5+0=13
t/5=13
times 5/1 both sides
5t/5=5*13
1t=65
t=65
Answer:
9 and 4/5
Step-by-step explanation:
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.