Match the expressions with the property used to generate 5y + 2y + 6 + 2.
Answers
Hey there!
5y + 2y + 6 + 2
COMBINE the LIKE TERMS
= (5y + 2y) + (6 + 2)
= 7y + 8
Overall answer: 7y + 8
The QUESTION ANSWER:
Distributive property:
5y + 2(y + 3) + 2
Combining the like terms:
6y - y + 2y + 10 - 4 + 2
Commutative property:
5y + 2 + 6 + 2y
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FORMULAS: (for properties for addition)
COMBINING LIKE TERMS:
a + b + a + b
= 1a + 1b + 1a + 1b
= (1a + 1a) + (1b + 1b)
= 1a + 1a + 1b + 1b
= 2a + 2b
DISTRIBUTIVE PROPERTY:
a(b + c)
= a(b) + a(c)
= ab + ac
COMMUTATIVE PROPERTY:
a + b + c
= b + c + a
= c + b + a
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Good luck on your assignment & enjoy your day!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
The first one (5y + 2 + 6 +2y) is Commutative Property.
The second (6y - y + 2y + 10 - 4 + 2) is combining like-terms.
The last one is Distributive Property.
Step-by-step explanation:
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Answer:
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Answers
The equation of the temperature at midnight is written as 3y + 5 = -7
The temperature at the midnight is calculated to be -4 degrees
How to write the equation of the temperature at midnight
The equation for the temperature at midnight is following the information given in the problem tripled and increased by 5
Assuming the temperature at midnight is y. For the temperature to triple we have
3y
For the temperature to rise 5 degrees will result to
3y + 5 = -7
solving for y
3y + 5 = -7
3y = -7 - 5
3y = -12
y = -4
At midnight the temperature was -4 degrees
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Answers
The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.
What is a solution set to an inequality or an equation?
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given that company for largegroups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.
Let's consider n be the number of people going on the tour.
Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;
200+25n ≥1650
To solve for n;
200+25n=1650
25n=1450
n=58
Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.
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Answer:
200+25n=1650
n=58
Step-by-step explanation:
200+25n=1650
25n=1450
n=58
Answers
Answers
B)Both m(x) and p(x) cross the y-axis at 7.
C)Both m(x) and p(x) have the same output value at x = 7.
D)Both m(x) and p(x) have a maximum or minimum value at x = 7.
m(x) = p(x) at x = 7
True statement about x = 7.
C)Both m(x) and p(x) have the same output value at x = 7.
Answer: Its true that it but equals 7
Step-by-step explanation:
Answers
It the graph that represents the function given in the table is the graph [3].
What is the point slope form of the equation of a line?
The point slope form of a line is given by -
y - y₁ = m(x - x₁)
Given is a line that passes through the points (-2, 5), (0, 3), (1, 2) and (4, -1).
The general equation of the straight line is -
y = mx + c
where -
m is the slope of line
c is the y - intercept
Now -
We can calculate the slope as follows -
m = (2 - 3)/(1 - 0) = -1/1 = -1
Now, at [x] = 0, [y] = 3
Which is the y - intercept.
The equation of the line will be -
y = - x + 3
We will plot the graph and match it with the given ones.
It can be seen that graph 3 is the correct choice.
Therefore, it the graph that represents the function given in the table is the graph [3]. It is plotted and attached with the answer for reference.
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The graph that represents the table is the one in the image at the end.
Which graph represents the line in the table?
Here we want to identify the line that represents the given table.
The first thing we can notice is the pair (0, 3). This means that the y-intercept of this line is y = 3.
Also, the next pair is (1, 2)
So, for each increase in x of one unit, we have a decrease of one unit in y, which means that the line goes downwards.
So the correct graph is the one posted below.