Greetings from Brasil...
We have to remember 2 details:
→ When X = 0, the function intersects the Y axis
→ When Y = 0, the function intersects the X axis
So
1: X = 0
Y = X + 5
Y = 0 + 5
Y = 5
X = 0 and Y = 5 ⇔ (0; 5)
2: Y = 0
Y = X + 5
0 = X + 5
X = - 5
Y = 0 and X = - 5 ⇔ (- 5; 0)
Then the point at which the graph intersects the X and Y axis will be
(0; 5) and (- 5; 0)
Hello from MrBillDoesMath!
Answer: 1 17/24
Steps:
Evaluate (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14
(5(5) - 6(3) + 20(14)) / 4 (3)(14) (Substitute in values)
= (25 - 18 +280) / 4 (3) (14) (Evaluate products)
= (287) / 4 (3) (14) (Evaluate expressions)
= 287/ 168 (4 (3)(14) = 168)
= (168 + 119 ) /168 287 = 168 + 119
= (168)/168 + 119/168
= 1 + 119/168
= 1 119/168
BUT 119 = 17 * 7 (surprise!) and 168 = 12 * 7 * 2 so answer
= 1 (17*7)/(12*7*2)
= 1 (17)/(12*2) (Cancel 7's)
= 1 (17/24)
Regards, MrB
Answer:
336
Step-by-step explanation:
Required Formulas:-
1. Number of ways to select x things out of n things = ⁿCₓ
2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)
Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.
Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3
Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56
Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .
∴ Answer=3*56*2 = 336
Answer:
5 - 3 times c is the correct ans
Answer:
Your answer will be 29
Step-by-step explanation:
Add -1 and 30