Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
<span>-2x + 8 + 5x > 2x + 1
3x + 8 > 2x + 1
x > -7
answer
D) - 5</span>
Answer:
Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.
Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:
282 x 0.10 = X
28.2 = X
Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).
Answer:
P(x < 5) = 0.70
Step-by-step explanation:
Note: The area under a probability "curve" must be = to 1.
Finding the sub-area representing x < 5 immediately yields the desired probability.
Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:
(average length)·(width, which here is:
2 + 5
----------- · 0.02 = (7/2)(0.2) = 0.70
2
Thus, P(x < 5) = 0.70
