Answer:<em>Exactly one solution.</em>
Step-by-step explanation:
- 32 +9 – 2x = -12 – 5x
1.Add numbers
-23 - 2x= -12-5x
2.Rearrange terms
-2x - 23 = -12 - 5x
3. Rearrange terms
-2x - 23 = -5x-12
4. Add 23 to both sides of the equation
-2x-23+23= -5x-12+23
5.Simplify
-2x= -5x+11
6.Add 5x to both sides of the equation
-2x+5x=-5x+11+5x
7.Simplify
3x=11
8.Divide both sides of the equation by the same factor
=
9.Simplify and Solution
x=
Answer:
Option b is the correct choice.
Step-by-step explanation:
We are asked to find the which of our given expressions has 13y as a term.
Since we know that a term can be a signed number, a variable, or a constant multiplied by a variable or variables as 2a or 5b. In term 2a, 2 is coefficient and a is a variable.
We can see that in 13y, 13 is coefficient and y is variable.
Let us see our given choices one by one.
a.
Let can write our 1st term as:
We can see that both of our terms have y variable, but our 1st term has a coefficient 13/4 and 2nd term has a coefficient of -2. As none of these terms have 13 as a coefficient, therefore, option a is not a correct choice.
b.
We can see that 8 is a constant, while 13y and -yz are terms. Since our expression has 13y as a term, therefore, option b is the correct choice.
c.
We can see that 4 is a constant and 13yz is a term as it has variables yz. Since our given term has two variables, therefore, option c is not a correct choice as well.
d.
We can see that 13 is a constant and y is term of our given expression. Since our expression don't have 13 as coefficient, therefore, option d is not a correct choice.
Answer:
f(x) and h(x) have the same maximum value: 3
Step-by-step explanation:
The maximum value of f(x) is 3 at (π, 3).
The maximum value of g(x) is -2 at (-3, -2).
The maximum value of h(x) is 3 at (0, 3).
Both f(x) and h(x) have the same (greatest) maximum value.
