Answer:
1. false
2. true
3. false
4. false
Step-by-step explanation:
1. 128 is not equal to 125
2. 119.7 = 119.7
3. 13.2 is not equal to 1.32
4. 5.88 is not equal to 12
Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Answer:
Polynomial : Yes
Degree: 1
Terms: 1
Name: Monomial
Step-by-step explanation:
Polynomial is an expression consisting of
- Variables
- Coefficients
- Its operations are addition, subtraction, multiplication
- It has non-negative integer exponents of variables
- The degree of the polynomial is the highest degree of any of the terms
Examples:
3x² ⇒ 2nd degree monomial (greatest exponent is 2 and it has 1 term)
2x - 5 ⇒ 1st degree binomial (greatest exponent is 1 and it has 2 terms)
3x (7x³ - 2x² + 5) ⇒ 4th degree trinomial (greatest exponent is 4 and it has 3 terms)
Now let us solve the problem
∵ The expression is 
- Re-write
as 
∴ The coefficient is
and the variable is x
∵ The expression has coefficient and variable with non-negative
integer exponent
∴ The expression is polynomial
∵ The exponent of the variable x is 1
∴ The degree of the polynomial is 1
∵ There is no operations in the polynomial
∴ The polynomial has 1 term
∵ The polynomial of one term called monomial
∴ It is monomial
Answer:
(1/2, 9) is the answer
Explanation:
x = 3+(-2)/2
x = 1/2
y = 5+13/2
y = 18/2
y = 9
so the midpoint of PQ is (1/2,9)