Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula,
or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
Answer:42
Step-by-step explanation:
V= 18 + 6(4)
V= 18 + 24
V= 42
Answer:
If you want to spend no less than $40, and you want to spend twice as much on the first gift (gift x), you can spend $26 on gift x. On the second gift (gift y), you can spend $13. You will spend a total of $39 on both gifts which is less than $40 and have spend twice as much on the first gift as you did the second ($13 x 2= $26).
2. an=20+an−1 and a1=145
she starts with 145 so a1=145 and then adds 20 every month: an=20+an−1
Answer: True.
The ancient Greeks could bisect an angle using only a compass and straightedge.
Step-by-step explanation:
The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.
The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.
Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.
This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.
As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .