Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.
Situation A : The number of miles Rashid drives increases over a period of 5 hours.
→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.
in next two situation , two variables are increasing with each other.
so we take last situation ↓
Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives
decreases.
→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.
thanks ❤
To write 3482000000 in scientific notation. Put down the first number (3) and all numbers that come after it (not 0) put after a decimal point. Then count all of the numbers after the decimal points including 0's and that's your exponent. Like so,
3.482*10^9
Hope this helps!=)
Answer:
None of the above
Step-by-step explanation:
3^3=81
-3^3=-81
6^3=216
-6^3=-216
5^3=125
We conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)
<h3>How to determine the domain and range of a relation and if a relation is a function</h3>
Herein we have a relation between two variables, x and y, relations involve two sets: an input set called domain and an output set called range. A relation is a function if and only if every element of the domain is related to only one element from the range.
Graphically speaking, the horizontal axis corresponds with the domain, whereas the vertical axis is for the set of the range. According to the previous concepts, we conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)
To learn more on functions: brainly.com/question/12431044
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