Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)
Answer:
5
Step-by-step explanation:
The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.
In the provided sequence
-1-(-6)=5
4-(-1)=5
9-4=5
14-9=5
Therefore the common difference, d=5
Answer:
The slope is -1/2
Step-by-step explanation:
-1/2 is a negative slope. Down 1 to the right 2
THIS answer is A. It is equilateral but not equiangular. Hope this helps!
I'm All Fired Up!
Aye Sir!
Answer:
Let x represents the ounces of first spice.
From the given statements, you draw a table as shown below:
ounces of spice Percentage ounces of salt
First spice x 3% 0.03x
Second spice 175 6% 175(0.06)
Final mixture x+ 175 5% (x+175)(0.05)
Now, to solve for x;
Final spice = First spice + second spice
Subtract 10.5 on both sides we have;
Simplify:
Subtract 0.05x on both sides;
Simplify:
Divide both sides by -0.02, we get;
x = 87.5 ounces
Therefore, 87.5 ounces of spices i.e 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt
