2. The total number of ski trails is 12. That's how many numbers there are in the box.
3. The difference in length between the longest ski trail and the shortest ski trail is the biggest number minus the smallest number in the box. 3 1/8 minus 1 3/8 is 1 and 3/4. So the answer is 1.75 or 1 3/4, whichever one works.
4. There are 3 trails that are 2 7/8 miles long. so You do 2 7/8 times three or 2 7/8 plus 2 7/8 plus 2 7/8. That equals 8 19/40 which is the answer. Ti add them together first turn them into mixed numbers. 2 7/8 is the same as 23/8. 8x3=24. 23x3=69. 69/24 is the same is 8 19/40 through further simplification.
5. 3 1/8 plus 1 3/8 is 4 1/2 or 4.5
6. The shortest ski trail is 1 3/8. 1 3/8 times 3 is 4.125. 4 is greater than 3 which means Sam is automatically right.
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
f(x) = 4+4+6
y = 14
(1,14)
2) Plug in x=2 into equation
f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
f(x) = 16+8+6
y = 30
(2,30)
3) Use slope formula (
)
16
It is 45 yd from the base of the pole.
The pieces of the right triangle we are given are one of the legs (the height of the pole, 60 yd) and the hypotenuse (the length of the cable, 75 yd). Using the Pythagorean theorem, we have:
60²+b²=75²
3600+b²=5625
Subtract 3600 from both sides:
3600+b²-3600=5625-3600
b²=2025
Take the square root of both sides:
√(b²) = √2025
b = 45
Answer:
steps below
Step-by-step explanation:
5th level of Pascal triangle: 1,5,10,10,5,1
(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵
= 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵ .. (1)
(1-2x)⁵ = 1 - 10x + 40x² - 80x³ + 80x⁴ - 32x⁵ .. (2)
(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2
a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself
<u>a = 160, b = 80, c = 2</u>
Answer:
Step-by-step explanation:
The input value at which f(x) = g(x) can be found by setting the right sides of each of those equal to each other and solving for x.
1.8x - 10 = -4 and
1.8x = 6 so
x = 3 1/3
The bold equation is the answer to the first part, and the second part is that x = 3 1/3
