<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

4 0

3 years ago

Pls help me with 4 , 5 , and 6 and show me how you did it i will mark brainlist !!

LuckyWell [14K]

Answer:

2 on top and bottom of 4 5 is 3 on top and bottom and lastly 6 is 8 on top and bottom.

Step-by-step explanation:

all you have to do is divide the two bottom numbers on each problem and the answer to the problem will be the same on top and bottom

3 0

3 years ago

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without re

butalik [34]

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

3 0

2 years ago

The exact value of cos5pi/12 is:

jonny [76]

Step 1: Convert $\frac{5\pi }{12}$ , which is in radians into degrees. To convert it multiply by $\frac{180}{\pi }$

$\frac{5\pi }{12} =\frac{180}{\pi }$

900/12

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = $\frac{\sqrt{2} }{2}$

cos30 = $\frac{\sqrt{3} }{2}$

Step 3: Add the cos45 and cos30 to get cos5pi/12

$\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}$

Hope this helped!

4 0

3 years ago