Answer:
The required expression is
Step-by-step explanation:
Let the number be x
We are supposed to write the algebraic expression of given statement
Double the number = 2x
Quotient of five and two =
Now we are given that Double the sum of a double the number and quotient of five and two
So, Sum of a double the number and quotient of five and two =
So, Double the sum of a double the number and quotient of five and two =
Hence The required expression is
Answer:
.
Step-by-step explanation:
We have been given that Nike reported a profit of $28,951,000 for one quarter (3 months), a profit of $20,570,000 for the second quarter, a profit of $15,342,000 the third quarter, and a loss of $48,037,000 for the fourth quarter.
To find the net profit for year, we will subtract the loss in the 4th quarter from the sum of profit in 3 quarters as:
Therefore, the net profit for the year was .
Answer:
The equation of the parabola that models the path of the long jumper through the air is .
Step-by-step explanation:
Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:
Where:
- Horizontal distance from the start line, measured in meters.
- Height of the long jumper, measured in meters.
,
,
- Polynomial constants, measured in
, dimensionless and meters, respectively.
If we know that ,
and
, this system of linear equations is presented below:
(Eq. 1)
(Eq. 2)
(Eq. 3)
The coefficients of the polynomial are, respectively:
,
,
The equation of the parabola that models the path of the long jumper through the air is .
But we need measured in centimeters, then, we use the following conversion:
Then, we get that:
Where and
are measured in meters and centimeters, respectively.
The equation of the parabola that models the path of the long jumper through the air is .