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If Ali has x cards, then Belinda has 2x cards.
If Ali has x cards, then Charlie has x+5 cards.
2x (Belinda) + x+5 (Charlie) + x (Ali) = 33 (total)
2x + x+5 + x = 33
Now simplify the equation... x+x+5 can be simplified as 2x+5.
2x+5 plus 2x can become 4x+5.
So their total number is 4x+5.
So 4x+5=33.
You want to isolate the variables and numbers.
To remove the 5 from the left side, subtract 5 from both sides.
4x+5-5=4x - 33-5=28
So the equation now is 4x=28
To remove the 4, divide each side by 4.
4x÷4=x - 28÷4=7
So x equals 7, Ali has 7 cards.
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The domain is t=0 to t=3.2 and range is y = 0 to 57.125 feet.
<u>What are Domain and range of a Function?</u>
- The range of values that we are permitted to enter into our function is known as the domain of a function.
- The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
- After we enter an x value, the function outputs this sequence of values. The y values are those.
- A function can be compared to a piece of equipment on an assembly line.
- A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.
Given function is : y = -16t^2 + 50t + 4
It hits the ground when y=0
0 = -16t^2 + 50t + 4
8t^2 -25t -2 = 0
t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds
domain is t=0 to t=3.2 [3.2]
take the derivative and set it equal to zero to find maximum height
-32t +50 = 0
t = 50/32 = 25/16 = 1.5625 seconds
-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height
range is y = 0 to 57.125 feet. the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.
Know more about Domain and Range with the help of the given link:
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There are 6 flavors, and each one can be regular or low fat.
So there are 12 different muffins possible.
Answer:
The new slope is 1
Step-by-step explanation:
The slope of any two points can be found by:
Finding slope of (3,7) (4,9)
Finding slope of (4,9) (5,11)
So, the slope of the line is 2
Now if slope is divided by 2, new slope will be:
So, The new slope is 1
Keywords: slope between points of a line
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Answer:
-15
Step-by-step explanation:
