Answer:
Step-by-step explanation:
Opposite (or in The US, vertical) angles are congruent.
Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).
-21x+28 is factored into:
-7(3x-4)
The total number of gifts = x+y.
The inequality is:

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:

Without graphing you can solve system by using substitution:

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

This is complete solution which gives all possible combinations.
(Graph is Attached)
Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:

if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:

switch the x and y, then solve for y:

So the exponential function is the inverse of the logarithmic one, f(x) = ln x
- Relationship between the variables are
- (a) As the age increases, the height increases.
- No relationship between variables.
- (a) As the age increases, height decreases.
- (b) As the height decreases, the age decreases.
Step-by-step explanation:
- If visually found a child born till his age of elder he has increased.
- It is clearly true that as the age increases height increases.
- Child is born at some point of time with a particular height.
- It is never an association between age increases and height reduces.
- Age is again started at some point of time, it cannot decrease.
- After descriptive statistics there something called predictive.
- Describing the data is one way of understanding statistics.
- It is mean,median mode where the particularly number stands.
- Predictive is the next stage an association of variables.
- Variables are very important in analysis it basically attribution.
- In order to find any analyse test studies are important variables to.