I NEED HELP ASAP! Jocelyn bought 2 sweaters for the same price. She paid $23.56, including sales tax of $1.36 and a $5.00 discou
1 answer:
The price of 1 sweater before the tax and coupon is $ 13.6
<u>Step-by-step explanation:</u>
Jocelyn bought 2 sweaters for the same price.
The total amount she paid for 2 sweaters is 23.56 dollars.
To find the price of 1 sweater we have to remove the tax and discount amounts.
The tax amount = 1.36 dollars.
The total amount for 2 sweaters excluded tax amount= 23.56 - 1.36.
= 22.2 dollars.
The total amount for 2 sweaters after removing discount amount =22.2+5.00.
= 27.2 dollars.
2 sweaters= 27.2.
1 sweaters = .
= 13.6 dollars.
∴ The price of 1 sweater before the tax and coupon is $ 13.6
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Short answer 34/13
Start by converting both to improper fractions.
8 1/2 = (2*8 + 1)/2 = 17/2
3 1/4 = (3*4 + 1)/4 = 13/4
Next set up a 4 layer fraction
Invert the lower fraction and multiply
Cancel the 2 and the 4 leaving you with a 2 in the numerator.
Start by converting both to improper fractions.
8 1/2 = (2*8 + 1)/2 = 17/2
3 1/4 = (3*4 + 1)/4 = 13/4
Next set up a 4 layer fraction
Invert the lower fraction and multiply
Cancel the 2 and the 4 leaving you with a 2 in the numerator.
By graphing the points, The best mode of the data will be the quadratic function
There is 5 steps to find the quadratic function that models the data.
First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ Draw the parabola you think best fits the data.
Which is the red function in the attached figure.
Third step ⇒ Estimate the coordinates of three points on the
parabola, which are (-1, 0), (2, -3), and (5, 12).
Fourth step ⇒ Substitute the coordinates of the points into the model
y = ax² + bx + c
to obtain a system of three linear equations.
a - b + c = 0 ---------(1)
4a + 2 b + c = -3 ---------(2)
25a + 5 b + c = 12 ---------(3)
Fifth step ⇒ Solve the linear system.
By using the calculator
a = 1 , b = -2 , c = -3
So, the quadratic model for the data is ⇒ y = x² - 2x - 3
There is 5 steps to find the quadratic function that models the data.
First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ Draw the parabola you think best fits the data.
Which is the red function in the attached figure.
Third step ⇒ Estimate the coordinates of three points on the
parabola, which are (-1, 0), (2, -3), and (5, 12).
Fourth step ⇒ Substitute the coordinates of the points into the model
y = ax² + bx + c
to obtain a system of three linear equations.
a - b + c = 0 ---------(1)
4a + 2 b + c = -3 ---------(2)
25a + 5 b + c = 12 ---------(3)
Fifth step ⇒ Solve the linear system.
By using the calculator
a = 1 , b = -2 , c = -3
So, the quadratic model for the data is ⇒ y = x² - 2x - 3