Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is:
Answer:
a₄₂ = 107
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂₇ = 66 , then
a₁ + 26d = 66 , that is
- 12 + 26d = 66 ( add 12 to both sides )
26d = 78 ( divide both sides by 26 )
d = 3
Then
a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111
Answer:
30 mph
Step-by-step explanation:
Let the morning speed be represented by s.
Then the total distance drivern is 310 mi and this is equal to
5s + 4(s + 10):
5s + 4s + 40 = 310, or
9s = 270
Solving for s, we get s = 270/9 = 30
Then s + 10 = 40
He drove 30 mph in the morning and 40 mph in the afternoon.
Check: (30 mph)(5 hrs) + (40 mph)(4 hrs) = 310 miles. CORRECT
Answer:
The advantages & disadvantages of tables,graphs and words have been explained below.
Step-by-step explanation:
The 3 major representation for finding patterns and making predictions are;
1.Tables
2. Graphs
3. Words
This means we want to find the advantages and disadvantages of using tables, graphs and words for finding patterns and making predictions.
1) Tables: Advantage is that we will be able to directly see the exact effect of the input variable on the output. While the disadvantage is that it's very difficult to see patterns.
2) Graphs: Advantage is that we can easily see the pattern of the representation. However the disadvantage is that we can't see the exact values arising from the effect of the input variable on the output.
3) Words: The advantage is that we can describe the data values in clear terms. However, the disadvantage is that we can't get exact values from just the words.
