PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
Answer:
$1,600
Step-by-step explanation:
To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.
amount deposited each month: $175
months: 12*5= 60
Total amount deposited: $175*60= $10,500
Interests: $12,100-$10,500= $1,600
According to this, the amount of the final balance that will come from the interest earned is $1,600.
Step-by-step explanation:
To find the solution, Tanisha can graph each side of the equation as its own function:
y₁ = log₃(5x)
y₂ = log₅(2x + 8)
The solution is where the two curves cross. From the graph, that happens at x ≈ 0.957.
desmos.com/calculator/lkukjhn3g2
As you can see, the diagonal actually creates a right triangle. Not only that, but you’re given two legs. Therefore, you can use the Pythagorean theorem to find the distance. Specifically, 78 (73?) feet and 27 feet.
Plug in for “a” and “b” to find your distance in:
a^2 + b^2 = c^2
sqrt(a^2 + b^2) = c
Plug in and solve
The outlier in the scatter plot as represented is the 50 year old animal.
<h3>Outlier in a scatter plot</h3>
From statistical point of view, an outlier is a data point which differs significantly from other data points.
The outlier may be attributed to variability in the measurement or it may indicate experimental error; the latter are sometimes excluded from the data set.
Hence, it follows that the outlier is the 50 year old animal data point.
Read more on outlier in a scatter plot;
brainly.com/question/2749543
