Solve the following equations | 3x + 3/7 | = 2 1/3
1 answer:
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Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
<u>Background of the Discriminant</u>
The discriminant applies to quadratic equations when they are organised in standard form:
.
All quadratic equations can be solved with the quadratic formula: .
When is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
<u>Solving the Problem</u>
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We're given the above equation. It hasn't been organised completely in , but we can change that by adding 1 to both sides to make the right side equal to 0:
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Now that we can identify the values of a, b and c, we can plug them into the discriminant:
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
Answer:
0.784
Step-by-step explanation:
Given that you are analyzing the allele frequencies for fur color in a population of squirrels where black fur is dominant to red fur.
As part of your research, you collect the following data:
Total individuals: 1,000
Red fur individuals: 216
So black fur individuals =
p2 = proportion of black fur individuals to total individuals
=
In Graph x-axis represents number of visits and y-axis represents cost.
As graph comes up to be a linear one, so we can clearly say that cost is increasing linearly in multiples of 5.5 with increase in number of visits.
Example :
If museum is visited once then cost (y) = 5.5 x 1 = 5.5
If museum is visited twice then cost (y) = 5.5 x 2 = 11
If museum is visited thrice then cost (y) = 5.5 x 3 = 16.5
... cost (y) goes on in creasing when number of visits (x) increase with multiples of 5.5
