Answer:
P(x)=(x-2)(x-4)(x+3)(x+6)
Step-by-step explanation:
Given: P(x)=x⁴+3x³-28x²-36x+144
It is a polynomial with degree 4.
It should maximum four factor.
Hit and trial error method.
Put x = 2 into P(x)
P(2)=2⁴+3×2³-28×2²-36×2+144
P(2) = 0
So, x-2 would be factor of P(x)
Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors
Put x = 4
now divide 
by x-4
Now factor 
Complete factor of P(x)
P(x)=(x-2)(x-4)(x+3)(x+6)
Answer:
Statement D is correct.
Step-by-step explanation:
Solution:
Data Given:
Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)
Linear Regression Relationship = y = mx + c
Here,
m = slope = 5.4
c = 10.3 = y - intercept
The correct Answer is D)
Because:
As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.
Hence, Statement D is correct.
Answer:
The second graph.
Step-by-step explanation:
It keeps getting steeper. This means that it is growing exponentially.
Answer:
10/15 = 2/3
Story:
Mia had 15 cupcakes out on 5 tables her friends ate 2/3s of every table, What fraction does this represent and what is it simplified.
For this question, we're going to use the law of cosines.
The law of cosines is the following equation:
We know the values of a, b, and c. We want to find the measure of angle A.
Now, plug in these values into the equation.
Add both sides by
and subtract both sides by 16
Divide both sides by 36
Take the inverse cosine, or arc cosine, of both sides.
Using a calculator, you'll get the following result.
The measure of angle A should be 36.3 degrees. Hope this helps! :)
