Count the total number of students who prefer fiction novels: In 9th grade there are 35, in 10th grade there are 52, so there are 87 students who prefer fictions. The proportion of 10th grade students out of these 87 students is 52/87=0.60 approximately.
These are pretty easy once you get the concept.
think of <em>random letter</em> (x) as the term y, so in the case of p(x)=-3+4x, its just asking what is y when x equals all those values.
so p(-2) = -3 + 4(-2), since its asking to plug in -2 for x, which equals -11
p(0) = -3 + 4(0)
= -3
p(5) = -3 + 4(5)
= 17
Answer:
(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab
Answer:
Marco has $57.50 in total.
Step-by-step explanation:
17 x 10 = 170 quarters
170 x 0.25 = $42.50
11 x 10 = 110 dimes
110 x 0.10 = $11.00
8 x 10 = 80 nickels
80 x 0.05 = $4.00
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
