What is the solution set for 4x−3=2x+5 , given the replacement set {2, 3, 4, 5} ?
2 answers:
Answer:
Step-by-step explanation:
We are given that an equation
The replacement set ={2,3,4,5}
We have to find the solution of given equation.
Using subtraction property of equality
Combine like terms
Subtraction property of equality
Addition property of integers.
Division property of equality
Hcene, the solution of given equation is given by
x=4
Therefore, option C is true.
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Answer:
27
Step-by-step explanation:
Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
<em>g </em>= 2<em>m</em>
The sum of their ages is 81:
<em>g </em>+ <em>m </em>= 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
<em>g </em>+ <em>m </em>= 81
(2<em>m</em>)<em> </em>+ <em>m </em>= 81
3<em>m </em>= 81
<em>m</em> =
<em>m </em>= 27
If we need to solve for Gabrielle's age, we can do the following.
<em>g </em>= 2<em>m</em>
2(27)<em> </em>= <em>g</em>
54 = <em>g</em>
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.
Answer:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.