Answer: 68
Step-by-step explanation:
Simplifying the expression:
= 8a² + 6b + 9a² + 9b² + 3b
Collect like terms
= 8a² + 9a² + 6b + 3b + 9b²
= 17a² + 9b + 9b²
We then substitute a=2,b=−1.
= 17a² + 9b + 9b²
= 17(2)² + 9(-1) + 9(-1)²
= 68 -9 + 9
= 68
Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]
Answer:
y = x² − x + 3
Step-by-step explanation:
Quadratic equation is:
y = ax² + bx + c
Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).
9 = a(-2)² + b(-2) + c
5 = a(-1)² + b(-1) + c
3 = a(0)² + b(0) + c
9 = 4a − 2b + c
5 = a − b + c
3 = c
We know c = 3, so substitute into the first two equations:
9 = 4a − 2b + 3
5 = a − b + 3
0 = 4a − 2b − 6
0 = a − b − 2
Solve by elimination or substitution.
b = a − 2
0 = 4a − 2(a − 2) − 6
0 = 4a − 2a + 4 − 6
0 = 2a − 2
a = 1
b = -1
Therefore:
y = x² − x + 3
Answer:
193.586 deaths per 100,000
Step-by-step explanation:
The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.
There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:
The mortality rate is 193.586 deaths per 100,000.
Answer:
No
No
Yes
Yes
Step-by-step explanation:
Try it.
6² ÷ 2 × 3 + 4
=36/2(3)+4
=(18)(3)+4
=54+4
=58
