Answer:
Period of the function in the graph is:
3
Step-by-step explanation:
Period of a function: If function value does not change when its argument is increased by a certain nonzero number,then that number is called the period of the function.
i.e. f(t+x)=f(x) then t is called its period
We have to determine the period of the function in the graph.
Clearly f(x+3)=f(x) in the given graph
Hence, the period of the function is:
3
Substitute the value in for x and evaluate.
x^2+4x+4
Answer:
<h2>$160</h2>
Step-by-step explanation:
Step one:
For Sadie
initial savings balance= $70
weekly savings = $18
Let S represent the amount of money Sadie has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
S=18t+70-------1
For Jack
initial savings balance= $90
weekly savings = $14
Let J represent the amount of money Jack has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
J=14t+90---------2
Step two
equation 1 and 2 to find t
18t+70=14t+90
18t-14t=90-70
4t=20
divide both sides by 4
t=20/4
t=5 weeks
so after 5 weeks Sadie and Jack will have the same amount of money
For Sadle t=5
S=18(5)+70-------1
S=90+70
S=$160
For Jack t=5
J=14(5)+90---------2
J=70+90
J=160
The two equations above shows that after 5 weeks their savings will be $160
Hey there!
To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x).
Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42
Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42
Divide both sides by 6 to solve for x:
6x/6=42/6
x=7
Because x represents the first number, your first number would be 7.
Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35
Your second number is 35.
To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42
Therefore, your final answer would be that the first number is 7, and the second number is 35.
Hope this helps, and have a marvelous day! :)
376+12x=280+15x
3x=96
x=32
A. 32 hours
B. 376+12*(32)=384+376=720$
