Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:
Before: 15:12 simplified as 5:4
After 16:15
Answer:
- The value of PR is 21 ft.
Step-by-step explanation:
<u>We know that:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- PQ = 7 ft.
- QT = 4 ft
- RS = 12 ft.
<u>Work:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- => 3(7 + 4 + TP) = PR + 12 + SP
- => 21 + 12 + 3TP = PR + 12 + SP
- => 21 + 3TP = PR + SP
- => 21 + SP = PR + SP [3TP = SP]
- => 21 = PR
Hence, <u>the value of PR is 21 ft.</u>
Hoped this helped.
Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
Y-y1=m(x-x1)
y-2=-4(x-5)
y-2=-4x+20
y-2+2=-4x+20+2
y=-4x+22
