<span>Let the larger number be x.
</span><span>A number, y, is equal to the difference of a larger number and 3.
y = x - 3
x - y = 3
</span>The same number is one-third of the sum of the large number and 9.
y = (1/3)(x + 9)
3y = x + 9
x - 3y = -9
The equations are:
x - y = 3
x - 3y = -9
<span>Number line refers to a mathematical process of
solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally
count another 123.
Then from zero start counting the total number to the line you stopped when
adding 123 to 235.
This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here
Answer:



Step-by-step explanation:
We have been given a parallelogram. We are asked to solve for the values of x and y.
We know that opposite sides of parallelogram are equal, so we can set equation as:







Similarly, we will solve for y.





To solve for z, we will subtract y from x as:

Therefore, the value of z is negative 3.
Answer:
Amplitude increases and the period decreases
Step-by-step explanation:
Here, we are to compare amplitude change and period change
The first equation is;
y = sin x
The second is
y = 3 sine (2/3)x
Generally, the equation of a sine graph can be written as;
y = a sin (bx + c)
where a represents the amplitude and b refers to the period
In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase
In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease
(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30