Answer:
123 domestic stamps
89 foreign stamps
Step-by-step explanation:
The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
Answer:
385 golf balls
Step-by-step explanation:
margin of error = (z*)(s) / sqrt n
where z* = 1.96 with 5%/ 2 = 0.025 area in each tail
margin of error = (z*)(s) / sqrt n
1.2 yards = (1.96)(12 yards) / sqrt n
solve for n
n = 384.16
385 golf balls (always round up)
Answer:
Step-by-step explanation:
Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.
To further factor the expression break the polynomial into two binomials.
To factor into two binomials, find factors that multiply to -5 and add to -4.
-5 and 1 are factors and these make the binomials 
.
The final factorization is
The answer is true. We know this because 9^2 - 6^2 is 45.
