f(-3) would be 36.
When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.
2x^2 - 5x + 3
Now we can put -3 into the equation and solve.
2(-3)^2 - 5(-3) + 3
2(9) + 15 + 3
18 + 15 + 3
36
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
Answer:
D. y = 12.5x + 15
Step-by-step explanation:
Using the values provided in the table, the only equation that would be valid would be the following...
y = 12.5x + 15
That is because if we substitute any value provided in the table for x , this equation will correctly output the y value shown in the table for the attached x-value. For example, in the table 5 nights (x = 5) should have a total cost of 77.5 (y = 77.5)... Therefore, if we substitute 5 for x in the function it should give us 77.5 which it does.
y = 12.5(5) + 15
y = 62.5 + 15
y = 77.5
Answer:
k = 20
Step-by-step explanation:
t1 = a = k-4
a = k - 4
t2 = ar = k
(k-4)r = k - 4
r = k/(k-4)
t3 = ar^2 = k + 5
(k - 4)(k/k - 4)^2 = k+5
k^2/k-4 = k+5
k^2 = (k+5)(k-4)
k^2 = k^2 -4k +5k -20
0 = k -20
k =20
