Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
Answer:
£15.6
Step-by-step explanation:
Method 1:
You are trying to find 30% of £52.
Therefore:
If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.
So, the answer is £15.6.
Method 2:
You can solve 30% of £52 by using an algebra equation.
By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.
Now, in order to write the equation, you will have to include 0.3 and 52.
The equation is:
0.3 * 52 = x
Once you multiply, you will find that the answer is £15.6.
I hope I helped!
Answer:DC=7
Step-by-step explanation:
As it is written △ABC = △DBC. So the corresonding legs (the legs which are equal ) are as follows:
AC=DC AB=DB BC= BC
So DC=7 the same like AC
Answer: The temperature will be 36.4 degrees.
Step-by-step explanation:
Hi, to answer this question we have to subtract the product of the temperature decrease per week (-1.3) and the number of weeks (12) to the actual temperature (52).
Mathematically speaking:
52 - (1.3 x 12)
Solving:
52-15.6
36.4 degrees
The temperature will be 36.4 degrees.
Feel free to ask for more if needed or if you did not understand something.
F(x) = x²
k = 2
f(x) + k = x² + 2
kf(x) = 2x²
f(x + k) = (x + 2)²
f(x + k) = (x + 2)(x + 2)
f(x + k) = x(x + 2) + 2(x + 2)
f(x + k) = x(x) + x(2) + 2(x) + 2(2)
f(x + k) = x² + 2x + 2x + 4
f(x + k) = x² + 4x + 4
f(kx) = (2x)²
f(kx) = 4x²
The answers are f(x) + k and f(x + k).
