What are they the factors OF ?
If you're listing the factors of 10, then those are 1, 2, 5, and 10.
Variables - a quantity that may change, depends on the context of the math problem. Ex: x,y
Terms - a variable, or constant, that is multiplied by a variable or variables.
Ex: 5x + 2 + 3y <-- has 3 terms
Coefficient - the constant that multiplies the variable and is next to a variable, Ex: (5x) <-- coefficient is 5
Constants - A fixed value such as 5, 6, 7, etc
Answer:Answer:
w + 4 and 4 + w
Step-by-step explanation:
Given phrase,
w is increased by 4,
That is, w + 4
By the commutative property of addition,
The expression would be,
4 + w
For drawing a model that shows w + 4
Take two boxes in which first shows w and second shows 4 and add them,
Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.
Step-by-step explanation:
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
Answer:
The maximum number of text messages you can send per month would be 41.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.12, so that would need a variable since it can change each month. You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.12x+24.99≤30 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.12x≤5.01
3. Now, divide each side by 0.12. Now your inequality is x≤41.75. This represents how many text messages you can send per month without going over 30.
4. Finally, you have to realize that is impossible to send exactly 41.75 text messages. So, you have to round down to 41 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
