Answer:
x = 23/5
y = -2/5
Step-by-step explanation:
We are given two equations
2x + 3y = 8 eq. 1
x - y = 5 eq. 2
From eq. 2
x - y = 5
x = 5 + y eq. 3
Substitute eq. 3 into eq. 1
2x + 3y = 8 eq. 1
2(5 + y) + 3y = 8
Simplify the equation
10 + 2y + 3y = 8
10 + 5y = 8
5y = 8 - 10
5y = -2
y = -2/5
or
y = -0.4
Substitute the value of y into eq. 3 to get the value of x
x = 5 + y eq. 3
x = 5 - 2/5
x = 23/5
or
x = 4.6
Therefore, the solution set is
(x, y) = (23/5, -2/5)
This is the point of intersection where these two equations meet.
Step-by-step explanation:
The domain is simply all of the x values of the relation. In this case, that is -1, 1, 3, and 6. The range is all of the y values. In this case, it is 2. Hope this helps!
Part A
Chorus:
Expontential growth = b*a^x
b = 15
a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x
Band
Linear growth = ax+b
a = 2
b = 30
Which gives a function of g(x)=2x+30
Part B:
f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48
Part C:
This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141
Answer:
.76 meters
Step-by-step explanation:
The area of a circle is pi*r^2
3.14*.85^2 = 2.26865
Dividing this into thirds gives us approximately .75621666666
Round to the nearest hundredth.
.76
Label the answer.
.76 meters
Answer:
a. f(–3) = –5
Step-by-step explanation:
On a graph, point (x, y) can be also represented as function f (x) = y
it means that if f(x) has input value as x then its output value will be y.
Now given that in the problem that
The point (–3, –5) lies on the graph
it means that for function input value of of -3 has the out put value of -5
which can also be written as
f(-3) = -5
Hence the correct choice is a. f(–3) = –5.