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.
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Answer: She has left over $8.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
<em>Camellia earned $160 and you put 80% of earnings into her savings account:
</em>
So, to obtain this number we have to multiply Camellia's earnings by 0.80 (the percentage in decimal form, 80 /100 = 0.80)
$160 x 0.80 = $128 (savings)
If we subtract the number obtained to Camellia's earnings:
$160 -$128 = $32 (money left without purchasing a gift)
<em>She spent 75% of the rest on a gift for her
</em>
The rest is $32, so we have to multiply it by the percentage in decimal form (75/100=0.75)
$32 x 0.75 (decimal form) = $24
And finally, subtract that number to the original rest.
$32-$24 = $8
She has left over $8.
Answer:
A
Step-by-step explanation:
Because the cost per pie is less.
Answer:
12 units
Step-by-step explanation:
base is x
one of the legs measure 4x-6
therefore, perimeter is equal to
2 (4x - 6) + x = 96
8x - 12 + x = 96
9x = 96 + 12
9x = 108
x = 108/9 = 12 units
In the figure,ABC is congruent to ADC . If the square ABCD is dilated by a factor of 2 to form A'B'C'D', the ratio of the area of A'B'C'D' to the area of ABCD is 1/2. Since the dilation is by a factor of 2, so the area of the A'B'C'D' should be smaller than the area of ABCD.
