56 different sub-committees are possible
Step-by-step explanation:
When the selection has to be made without order, combinations are used.
The formula for combination is:
Here,
Total members = n = 8
Members to be selected = r = 5
So,
Hence,
56 different sub-committees are possible
Keywords: Combinations, Selection
Learn more about combinations at:
#LearnwithBrainly
Answer:
y = x⁴- 5x² + 4
y = x(x + 3)(x - 2)
Step-by-step explanation:
1). y = x⁴- 5x² + 4
= x⁴- 4x² - x² + 4
= x²(x² - 4) - 1(x²- 4)
y = (x² - 1)(x² - 4)
y = (x - 1)(x + 1)(x - 2)(x + 2)
Therefore, zeros of this polynomial are,
x = -2, -1, 1, 2
From the given graphs, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.
So the graph (1) represents the polynomial → y = x⁴- 5x² + 4
2). Second graph shows the x-intercepts at x = -3, 0, 2
Since, y = x(x + 3)(x - 2) is the polynomial with x intercepts at x = -3, 0, 2
Therefore, y = x(x + 3)(x - 2) represents the second graph.
Answer:
6 Dollars.
Step-by-step explanation:
A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.
Therefore, the cost of using the coupon followed by the discount,
f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.
And the cost of using the discount followed by the application of the coupon,
g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.
Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)
You go to a restaurant and your bill is $35.00. Your service was excellent so you leave a 20% tip. What was the total amount paid for the bill including the tip?
10%=$1 for every $10
15%=$1.50 for every $10
20%=2% for every $10
10% of the bill would be $3.50(move the decimal to the tens place)
15% of the bill would be $5.25( halve the 10% and add it to the original 10% tip; $3.50+$1.75)
20% of the bill would be $7.00(double the 10% tip)
<span>45 is 36% of 125
</span>
Hope this helps!
