Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x = 
f(x) = 6x² + 11x - 3
f(
) = 6(
)² + 11(
) - 3
= 6(
) +
- 3
=
+
- 
= 
= 4
Answer:
<h3>y*5-8=47</h3><h3>y*5=47+8</h3><h3>y*5=55</h3><h3>y=55/5</h3><h3>y=11</h3>
Answer:
A
Step-by-step explanation:
Answer:
The population growth is 6.26 per square mile per year
Step-by-step explanation:
We are given
he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years
So,
Initial population =128.7
Final Population =191.3
Total time =10 years
now, we can find population grow per year

now, we can plug values


So,
The population growth is 6.26 per square mile per year
Answer:
t(h)= (h-200)/-4.9
The time to reach a height of 50 meters is 30.6 seconds
Step-by-step explanation:
To express t as a function of height (h) we must transform the equation below:
h=200-4.9t
h-200=-4.9t
(h-200)/-4.9=t
t(h)= (h-200)/-4.9
To find the time to reach a height of 50 meters, we must replace this value on the new equation:
t(h)=50-200/-4.9
t(h)= 30.612
The time to reach a height of 50 meters is 30.6 seconds