Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
Learn more on word problem here;
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Let width be W
Then length = 5W
P=2L+2W
P< 96cm
Then the Perimeter of the rectangle is equal to
(2L+2W)< 96
2*(5W)+2W)≤96
Therefore, 2w+2⋅(5w)≤96
should be your answer
Answer:
The other term is<u> (x-3)</u>
Step-by-step explanation:
The quadratic function is:
Factoring this function we will have:
Therefore, the other term is<u> (x-3).</u>
I hope it helps you!
Answer:
- b
- f
- e
- c
- h
- d
- g
- a
Step-by-step explanation:
< or > will give you an open dot which means it is not filled in.
≤ or ≥ will give you a closed dot which means it is filled in.
So for example number one:
x > 0 translated is x is greater than zero.
So look on the number line for an open dot on zero going toward the left (the side where the numbers get smaller). The rest are self explanatory.
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set. further the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
I hope it will help =)
