Correct answer is: F(x)=-x^2-3
Step-by-step explanation:
We are given a function:
The graph of is also shown in the given question figure.
It is a parabola with vertex at (0,0).
Sign of is positive, that is why the parabola opens up.
General equation of parabola is given as:
Here, in G(x), a = 1
Vertex (h,k) is (0,0).
As seen from the question figure,
The graph of F(x) opens down that is why it will have:
Sign of as negative. i.e.
And vertex is at (0,-3)
Putting the values of a and vertex coordinates,
Hence, the equation of parabola will become:
Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The question is incomplete.
The question is:
What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
- The next term in the sequence is represented by point (4, 3).
- f(x) = –4x + 19 represents the sequence.
- An infinite number of points can be determined to follow this sequence.
The graph is attached to the picture please refer to the graph.
We have an arithmetic sequence:
19, 15, 11, 7,...
The first term is:
a = 19
Common difference d = 15-19 = -4
The nth term:
a(n) = 19 + (n-1)(-4)
a(n) = 19 -4n + 4
a(n) = -4n + 23
We can write above expression as:
f(x) = -4x + 23
Slope of the equation = -4
The correct options are:
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
Learn more about the sequence here:
brainly.com/question/21961097
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Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
Answer:
To write as a scientific notation in this problem, just make something 0.0 x 10n
In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.
It's three!
Move the decimal point left to 3 places to make 5.78. Then, n is the number of decimal places you moved:3
Same goes to the case 0.034. You need to make something 0.0 x 10n
Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!
But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).
Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.
Step-by-step explanation:
Hope this helps you.
:)
15kg=33 lbs
48.4 lbs/2.2 lbs. =22 kg
1 kg = 2.2 lbs so when you need to make a conversion wityh kilograms and pounds write that out then put how ever many pound you need to get to under the 2.2 lbs and cross multiply same with the kilograms.
