Answer:
158 cases
Step-by-step explanation:
Given tbe quadratic regression model :
y = -2x^2 + 40x + 8
y = number of cases of a new disease
x = number of years
The predicted number of cases of a new disease in 15 years can be calculated thus ;
Put x = 15 in the equation ;
y = -2(15)^2 + 40(15) + 8
y = - 2 * 225 + 600 + 8
y = - 450 + 600 + 8
y = 158
158 cases
Answer:
It’s A.
Step-by-step explanation:
Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
Answer:
Step-by-step explanation:
Length = x+3
Width = x-1
Area = l*b
where l is the length of the bedroom
and b is the breadth or width of the bedroom
The polynomial can be written as:
Area=(x+3)(x-1)
Now we will find the area of the room when x=10
First we will find the values of length and width.
Length = x+3
Length = 10+3 = 13
Width = x-1
Width = 10-1=9
Now put the values in the formula:
Area=l*b
Area=13*9
Area = 117 square feet....
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
5a + 5b
Simplify ———————
a2 - b2
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
5a + 5b = 5 • (a + b)
Trying to factor as a Difference of Squares:
2.2 Factoring: a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (a + b) • (a - b)
Canceling Out :
2.3 Cancel out (a + b) which appears on both sides of the fraction line.
Final result :
5 / a -b
Step-by-step explanation:
