Domain = {-3, 2}
Range = All real numbers
We can represent the range in interval notation as
which is basically saying
. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.
Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".
Answer:
Question 6: 26 crowns plus 15 ribbons.
Question 7: 10 footballs plus 42 basketballs.
Step-by-step explanation:
Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable
, and ribbons as the variable
, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be
, in order to find how many
(crowns) and
(ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable
together, and add the terms with the variable
together. Simplified, the equation will be
. Since the variables
and
were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.
Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables
and
respectively. The equation will be
=
. Since the variable
was used to represent footballs and the variable
was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.
Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
Answer:
40 + 3x + 4 + 3x + 4 = 180
48+6x=180
48 - 48 + 6x = 180 -4 8
6x = 132
6x/6 = 132/6
x = 22
Step-by-step explanation:
1. since the triangle is isosceles, angles A and C will have the same measures, so to solve for x, you can add another 3x + 4 or you can multiply A by 2.
2. add like terms
3. subtract
4. divide to get x
Answer:
The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.
Step-by-step explanation:
The area of a rectangular banner is 8 square feet.
The side lengths of this rectangular banner are whole numbers.
Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).
So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.
The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.
The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.