Answer:
Either y = or, y =
Step-by-step explanation:
We have to solve the following quadratic equation
45y² + 15y - 10 =0
Now, dividing both sides with 5 we get, 9y² + 3y -2 =0
Hence, to solve the above equation we have to factorize the left-hand part of the equation.
So, 9y² + 3y - 2 =0
⇒ 9y² +6y -3y -2 =0
⇒ (3y +2) (3y -1 ) =0
⇒ Either (3y +2) =0 or (3y -1) =0
⇒ Either y = or, y =
(Answer)
Given:
Consider the given gallons are gallons.
To find:
The number of quarts in gallons.
Solution:
We know that,
1 gallons = 4 quarts
Using this conversion, we get
Therefore, there are 33 quarts in gallons.
Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):
vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Answer:
a) $175 b) It will be $126
Step-by-step explanation:
Cost price of 3 games= $140
Let the original price of games= $ x
Discount is given= 30%
According to question
x = $140
x = $140
x ×0.8= $140
x= $
x= $175
Hence, the original price of games $ 140
(b) If Sam had given a discount of 20%
Again a discount = 10%
The price of games=$ 140
Now, the selling price will be= 175×
Now, the selling price will be= $ 126
Hence, the price will be different.
