Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Answer:the amount that the bookstore pay the publisher for the book is $64.4
Step-by-step explanation:
Let x represent the amount that the bookstore pay the publisher for the book.
The college bookstore marks up the price that it pays the publisher for a book by 35%. This means that the value of the mark up would be
35/100 × x = 0.35 × x = 0.35x
Therefore, the amount that the bookstore is selling the book would be
x + 0.35x = 1.35x
If the selling price of a book is $ 87.00, then it means that
1.35x = 87
x = 87/1.35 = 64.4
To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.
7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
