Answer:
5 cm
Step-by-step explanation:
Answer:
steps below
Step-by-step explanation:
post here 16 and 17, should be able to do 18 and 19 yourself
16.
y=-8 for x≤-6
y=-1/4 x + 2 for -4≤x≤4
y=4 for x>4
17.
y=-x-4 for x<-3
y=x+1 for -3≤x≤1
y=-6 for x>4
Answer:
12 pints
Step-by-step explanation:
There are 24 students & each one gets 1 cup, so you will need 24 cups total. There are 2 cups in a pint. You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.
You can double check: 12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups
Vertex: (-2,1)
Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.
End of behavior:
When x approaches positive infinity, f(x) will approach positive infinity.
When x approaches negative infinity, f(x) will approach positive infinity as well.
Why no solution:
The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.
y-intercept: (0,5)
describe shape of the graph:
The graph decreases when x<0 and increases when x>0.
x<0 is concave up but decreasing
x>0 is concave up but increasing
Equations are found everywhere in mathematics. Students of middle school are introduced by the equations in algebra. Analgebraic equation<span> is a combination of one or more terms separated with "</span>equal<span>" symbol </span>"=". The terms are the expressions or monomials made up of constants and variables. The terms can be numerical, alpha numerical, expression etc. The terms are connected with one another with the help of addition (+) or subtraction (-) symbols.
<span>For example -
(1)</span><span> x + 2 = -3</span>
(2) <span><span>2<span>a3</span>−2<span>a2</span></span><span>2<span>a3</span>−2<span>a2</span></span></span>b+ab+2 = 7
(3)<span> 3 x - 1 = x + 2</span>
There are different types of equations, such as - linear equations in one and two variables, logarithmic equations, exponential equations, fractional equations, polynomial equations etc. Equations represent the relationship between variables. There may be one or more variables in an equation.
<span>By solving equations, we mean to find all the possible values of one or more variables contained in it. Equations can be solved either algebraically or graphically. There are various algebraic methods that can be utilized in order to get the solution of an equation. The choice of these methods may depend upon the types of equation. In order to find the values of all the variables in the equation, we need as many number of same types of equations as the total number of variables. </span>For example -<span> An equation 2 x + y = 1 needs one more equation of same type (such as x + y = 7), since it has two variables x and y. Equations are also used to solve word problems in many areas. Let us understand about equations in detail in this page below.</span>
