Answer:
f(-2) = 26
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 7x
f(-2) is x = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(-2) = 3(-2)² - 7(-2)
- Exponents: f(-2) = 3(4) - 7(-2)
- Multiply: f(-2) = 12 + 14
- Add: f(-2) = 26
Mean is the average of the data set, which is found by adding all values together and then dividing that sum by the number of data values.
Median is the middle number of the data set, and can be found by ordering the values from least to greatest. If there are two middle numbers, the average of the two would be the median.
Mode is the number that shows up most frequently in the data set.
Range is found by subtracting the lowest number from the highest number in the data set.
<u>Set 1</u>
Mean:
18+20+22+11+19+18+18=126
126÷7=18
Median:
11, 18, 18, 18, 19, 20, 22 → 18
Mode: 18
Range: 22-11=11
<u>Set 2</u>
Mean: 23+27+24+26+26+24+26+24=200
200÷8=25
Median:
23, 24, 24, 24, 26, 26, 26, 27 → 24+26=50 → 50÷2=25
Mode: 24 and 26
Range: 27-23=4
<em>Answer:</em>
n²+3
<em>Explanation:</em>
The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.
4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25
In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!
1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28
Hope this helps !! :D
Let's assume
It started in 2000
so, t=0 in 2000
we can use formula
we can plug value
In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million
so, at t=2005-2000=5
P(t)=7.3 million
we can plug value and then we can solve for r
now, we can plug back
now, we have
P(t)=1 billion =1000 million
so, we can set it and then we can solve for t
approximately
Year is 2000+192
year is 2192................Answer
Answer:
a =3
b = -5
c = 4
Step-by-step explanation:
3x^2+4=5x
Subtract 5x from each side
3x^2-5x+4=5x-5x
3x^2-5x+4=0
The equation is in the form
ax^2 +bx+c =0
a =3
b = -5
c = 4
