Answer:
Yes they will intersect
Function 1= F(X)=2X+5
Function 2=H(X)=3X+2
INTERSECT=(3,11)
Step-by-step explanation:
First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then
you replace the x for a number:
Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)
X=1----->Y=2+5=7 X=1------>Y=3·1+2=5
X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8
X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11
With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)
Answer:
12 customers are waiting each hour to enter the diner
Step-by-step explanation:
20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.
Answer:
y=2x-3
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
<u>Step 1: Set both parts equal to 0</u>
x - 4 = 0 and x - 4 = 0
<u>Step 2: Solve for x by adding 4 to both sides</u>
x - 4 + 4 = 0 + 4 and x - 4 + 4 = 0 + 4
x = 4 and x = 4
Answer: x = 4
Remember that the formula for simple interest is:
is the interest earned
is the principal amount invested
is the interest rate, represented as a decimal
is the amount of time in years
Using information the problem gave us, we can say that the amount of interest earned after one year is:
After 1 year, we will have earned $21. Remember though that we also need to find the amount we will earn after 4 months. Since there are 12 months in a full year, we can say that 4 mohts represents a third of a year. Thus, let's multiply our interest by one-third.
After 4 months, we will have generated $7 and after one year we will have generated $21.
