Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
Answer:
The expense of the visit to dental specialist is equivalent to (50+100n)
Step-by-step explanation:
Answer: 3400
Step-by-step explanation:
We have, 5% × x = 170
or,
5
100
× x = 170
Multiplying both sides by 100 and dividing both sides by 5,
we have x = 170 ×
100
5
x = 3400
If you are using a calculator, simply enter 170×100÷5, which will give you the answer.
Answer:
100 ≥ 12x + 28
Step-by-step explanation:
He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.
Depends greatly on the type of function.
Some things to keep in mind:
1.) the value of the denominator of a fraction cannot be zero
2.) the inside of an even root cannot be less than zero
3. The argument of a logarithmic function must be greater than zero
4. Plus many more other rules and such
But a simpler explanation, just find out what values x can be for the given function, and what y can be.
The x values make up the domain, the y, the range
Graphs are helpful
Hope this helps!
