Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Clown fish: angel fish 5:4
angle fish: gold fish 4:3
(60): angel fish=5:4
(5)(12)=60
(4)(12)=48 angel fish
(48): gold fish=4:3
(4)(12)=48
(3)(12)=36 gold fish
Its 43 pushups cause the number of pushups are going up by 3
Answer:
D
Step-by-step explanation:
You would get .40 as the answer and do 3 times .40 to get 1.20 as the answer.
I just took the test, the correct answer is .. g(x) = (1/7)^x - 4.
