(1, 3) or (3, 1)
(2, 2) or (2, 3)
(2, 3) or (3, 1)
Answer:
(2, 2) or (2, 3)
Step-by-step explanation:
two of the same number in x place means it is not a function. elimination on of these will make it a function.
Answer:
(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25
Step-by-step explanation:
To solve the expression (2x - 2 1/5 - -4) ÷ -5, we need to follow the order of operations, also known as PEMDAS.
1. First, simplify the expression inside the parentheses (-2 1/5 - -4).
To subtract a negative number, we can change it to addition. So, (-2 1/5 - -4) becomes (-2 1/5 + 4).
Next, let's convert the mixed number -2 1/5 to an improper fraction.
-2 1/5 = -11/5
Now we can add the fractions: -11/5 + 4.
To add these fractions, we need a common denominator. The least common denominator for 5 and 1 is 5.
-11/5 + 4/1 = -11/5 + 20/5 = 9/5
Therefore, (-2 1/5 - -4) simplifies to 9/5.
2. Now, let's substitute the simplified expression back into the original expression: (2x + 9/5).
3. Finally, divide the expression by -5: (2x + 9/5) ÷ -5.
To divide by a negative number, we can multiply the expression by -1 and then divide by 5.
(2x + 9/5) ÷ -5 = (-1)(2x + 9/5) ÷ 5
Applying the distributive property, we get:
(-1)(2x + 9/5) ÷ 5 = (-2x - 9/5) ÷ 5
To divide by 5, we can multiply each term by 1/5:
(-2x - 9/5) ÷ 5 = (-2x ÷ 5) - (9/5 ÷ 5)
Simplifying further:
-2x ÷ 5 = -2/5 * x
9/5 ÷ 5 = 9/25
Therefore, the final answer is:
(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25
Please note that this is the simplified form of the expression, assuming that no specific value for x is given.
Answer:
$129.02
Step-by-step explanation:
$120 multiplied by the sales tax 1.0752 = $129.024; Round .024 to the nearest tenths to get .02
Which relation is a function?
Answer:
The one on the bottom right corner
Step-by-step explanation:
The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.
Answer: Choice D in the bottom right corner
Reason
If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.
This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.
Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.
Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be:
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
In order to find out when Katie will have over 100 seashells, we use the equation 34 + 12d > 100. After simplifying, the inequality is d > 5.5. So, it will take Katie over 5.5 days to collect over 100 shells.
The question states that Katie already has 34 seashells and finds 12 more each day. This can be represented by the equation 34 + 12d, where d represents the number of days. In order to find out when Katie will have more than 100 seashells, we need to set this equation greater than 100 and solve for d.
So, 34 + 12d > 100. If we subtract 34 from both sides, we get 12d > 66. Then, divide both sides by 12 to solve for d. d > 66/12. The value of d in this case turns out to be approximately 5.5.
This means it will take Katie slightly over 5.5 days to collect over 100 seashells, given that she can use fractions of days to find seashells.
#SPJ2
b. y = 3
c. y = 4
d. y = 5
General Idea:
Say if f(x) is the parent function, then f(x-c) represents transformation described as horizontal translation or shift of f(x) by ' c ' units to the right.
Applying the concept:
Here we are given a function , after the transformation of horizontal shift of 4 units to the right, the function will be given as below: