Answer:1. B 2. D
Step-by-step explanation:
The simplified form for (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y) is (5x² + 0y² - 10x + 4y - 2xy).
<h3>A quadratic equation is what?</h3>
At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. The answers to the issue are the values of the x that satisfy the quadratic equation. These solutions are called the roots or zeros of the quadratic equations. The solutions to the given equation are any polynomial's roots. A polynomial equation with a maximum degree of two is known as a quadratic equation, or simply quadratics.
<h3>How is an equation made simpler?</h3>
The equation can be made simpler by adding up all of the coefficients for the specified correspondent term through constructive addition or subtraction of terms, as suggested in the question.
Given, the equation is (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y)
Removing brackets and the adding we get,
3x² + 2x² + 2y² - 2y² + (- 5x) + (- 5x) + y + 3y + (- 2xy) = (5x² + 0y² - 10x + 4y - 2xy)
To learn more about quadratic equations, tap on the link below:
brainly.com/question/1214333
#SPJ10
The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.
![\frac{dy}{dx} = \frac{y - y_0}{x - x_0}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7By%20-%20y_0%7D%7Bx%20-%20x_0%7D)
where (x0,y0) is point A ---> (0,-1)
Then rearrange equation into slope-intercept form:
![y = \frac{dy}{dx}(x - 0) -1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bdy%7D%7Bdx%7D%28x%20-%200%29%20-1)
Finally sub in x=0 into dy/dx to get slope at the point (0,-1)
Answer:
Step-by-step explanation:
20% off...and she saves $13
so 20% of what number is 13
0.20x = 13
x = 13/0.20
x = 65 <== original price
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
<h2>Answer:</h2>
<u>The value of the notebook in 2014 is </u><u>$980</u><u>.</u>