Answer:
10 nickels
Step-by-step explanation:
If she has a maximum of 66 cents and 12 are pennies than you need to see how many nickels go into 54 cents. You can only get 50 cents with nickels so you will have 10 nickels and 12 pennies for a total of 22 coins and 62 cents.
Answer:
x = - y-12/5+4k
Step-by-step explanation:
<u>Solve 12-5x-4kx=y for x</u>
12-5x-4kx = y for x
substract 12 from both side
-5x-4kx = y-12
Factor of -5x-4kx = -x(5+4k)
-x(5+4k) = y-12
Solve for x
-x = y-12/(5+4k)
Therefore x = - y-12/5+4k
The answer is 35/2 (fraction)
I think the last two are correct.
Hope it helps
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
