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2 years ago

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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height

f(x), in feet, of the food packet at different times x, in seconds: graph of function f of x equals 6000 minus 15 multiplied by x squared Use the graph to determine the reasonable domain of f(x) based on the context. x ≤ 6000 0 ≤ x ≤ 20 −20 ≤ x ≤ 20 All real numbers

2 answers:

Dafna1 [17]2 years ago

3 0

The given function f(x)=-15x²+6000 represent a parabola or a quadratic equation.

Where x= time (in seconds) and f(x)= height (in feet).

Domain is the set of values of x at which the function must be defined. But there is no restriction for a quadratic function because it can take any value of x. Hence, domain of all quadratic functions or parabola are always

-∞≤x≤∞ or all real numbers.

So, domain of given function is " all real values of x".

valina [46]2 years ago

3 0

The answer is 0 ≤ x ≤ 20

hope this helps :)

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If k is parallel to l find the value of a and the value of b.

kipiarov [429]

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3

Cross multiply

3a = 2(a + 15) Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

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3 years ago

Emilia took a math quiz last week. She got 19 problems correct and 76 problems incorrect. What percentage did Emilia get correct

Volgvan

Answer: 20%

Step-by-step explanation:

To find the total number of problems Emilia solved, we can first add 19 and 76 to get:

19 + 76 = 95

Next, to find how many problems Emilia got correct out of the total, we can use the number of problems correct (19) and divide it by the total number of problems (95) to get:

19 ÷ 95 = 0.2

Finally, to make 0.2 a percentage, we can multiply it by 100 to get:

0.2 X 100 = 20

Therefore, Emilia got 20% of the problems correct.

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1 year ago

a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each n

Westkost [7]

Answer:

30,6

Step-by-step explanation:

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2 years ago

Please help me on this problem

Anna71 [15]

Answer:

The pairs of integer having two real solution for $ax^{2} -6x+c = 0$ are

$a = -4, c = 5$
$a = 1, c = 6$
$a = 2, c = 3$
$a = 3, c = 3$

Step-by-step explanation:

Given

$ax^{2} -6x+c = 0$

Now we will solve the equation by putting all the 6 pairs so we get the following

$-3x^{2} -6x-5 = 0$ for $a = -3 , c=-5$

$-4x^{2} -6x+5 = 0$ for $a = -4 , c=5$

$1x^{2} -6x+6 = 0$ for $a = 1 , c=6$

$2x^{2} -6x+3 = 0$ for $a = 2 , c=3$

$3x^{2} -6x+3 = 0$ for $a = 3 , c=3$

$5x^{2} -6x+4 = 0$ for $a = 5 , c=4$

The above all are Quadratic equations inn general form $ax^{2} +bx+c=0$

where we have a,b and c constant values

So for a real Solution we must have

$Disciminant , b^{2} -4\timesa\timesc \geq 0$

for $a = -3 , c=-5$ we have

$Discriminant =-24$ which is less than 0 ∴ not a real solution.

for $a = -4 , c=5$ we have

$Discriminant = 116$ which is greater than 0 ∴ a real solution.

for $a = 1 , c=6$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 2 , c=3$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 3 , c=3$ we have

$Discriminant =0$ which is equal to 0 ∴ a real solution.

for $a = 5 , c=4$ we have

$Discriminant =-44$ which is less than 0 ∴ not a real solution.

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3 years ago

IS THE PRODUCT OF 89 AND 20?

Shalnov [3]

Answer:

1780

Step-by-step explanation:

product means multiply

20x89=1780

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2 years ago