Answer:
See the explanation
Step-by-step explanation:
Given function

We need to find
value corresponding to each
value.
So, plug each
value in equation we get,

Now in next part of question it ask us to check each ordered pair.
Let us plug each
value and
value in the function 

we can see ordered pair
true for function 
Answer: (3a + 1) (a + 3)
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
<u>Solve:</u>
Given = 3a² + 10a + 3
<em>STEP ONE: separate 3a² into two terms</em>
3a
a
<em>STEP TWO: separate 3 into two terms</em>
3
1
<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
Answer:
3rd and 4th options are correct that is 24 hours per day and 7 days per week.
Step-by-step explanation:
We need to find the conversion factors that can be used to find number of hours in a week.
We know that,
Number of hours in a day = 24
and
Number of days in a week = 7
So, Number of hours in 7 days = 24 × 7 = 168.
Therefore, 3rd and 4th options are correct that is 24 hours per day and 7 days per week.
Answer:
The number of wreaths Alaina sells is 9 .
Step-by-step explanation:
As given
Alaina is selling wreaths and poinsettias for her chorus fundraiser.
Wreaths cost $27 each poinsettia cost $20 each.
If she sold 15 poinsettias and made $543.
Let us assume that the number of wreaths Alaina sells = x
As the number of poinsettias Alaina sells = 15
Than the equation becomes
27x + 15 × 20 = 543
27x + 300 = 543
27x = 543 - 300
27x = 243

x = 9
Therefore the number of wreaths Alaina sells is 9 .