Step-by-step explanation:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
Answer:

Step-by-step explanation:
<u>Polynomials
</u>
a)
The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are
x=-2, x=1, x=3
b)
The factored form of a polynomial whose roots
are known is

We know the value of the roots, thus the polynomial is written as

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus





Thus the factored form of the polynomial is

c)
Let's multiply all the factors





Answer:
Yes
Step-by-step explanation:
The line of best fit is used in linear regression models to make predictions, the line of best fit gives the relationship between the dependent and independent variables by obtaining the Coefficient of correlation. The Coefficient of correlation is a value which ranges from - 1 to 1. With values close to either - 1 or 1 depicting a strong negative and positive relationship respectively. Hence, with a correlation Coefficient of - 0.86, which signifies a strong negative relationship, then we can go ahead and make prediction using the model.
Answer:
The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.
Step-by-step explanation:
Circumference: This is defined as the distance around a circle.
The circumference of a circle is
P = πd............................. Equation 1
Where p = circumference of the circle, d = diameter of the circle
Area: This is the region bounded by a plane surface.
The area of a circle is
A = πd²/4 .................................. Equation 2
Where A = area of the circle, π = pie = constant.
Given: d = 2 yd.
Constant: π = 3.14
Substituting these values into equation 1 and 2 respectively.
P = 3.14(2)
P = 6.28 yard.
P = 6.28 yd
and
A = 3.14(2)²/4
A = 3.14×4/4
A = 3.14 yd²
Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.
Let's simplify step by step
2/9x+2/7+1/3x1/7
Combine Like Terms:
=2/9x+2/7+1/3x+1/7
=(2/9x+1/3x)+(2/7+1/7)
=5/9x+3/7
Answer
=5/9x+3/7
Hope this helps :)