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insens350 [35]
3 years ago
6

Question 16

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

Statement B and D are correct.

Step-by-step explanation:

The number of minutes Gabriel spends grading essays can be presented as a function: f(x) = 4x, where x is the number of graded essays and 4 is the number of minutes Gabriel spends on grading each essay.

By definition, domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

So in this case, domain of f(x) is the set of all values of x which is an integer going from 0 to 105. Statement D is accurate.

Range of f(x) is the set of all values that f takes and can be calculated by multiplying 4 with (0,105), equal (0,420). Statement B is accurate.

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If AACD ~ AABE, find the value of x.
Anastaziya [24]

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

Corresponding sides are proportional.

  BE/CD = AE/AD

  20/(3x+8) = (x-1)/(x-1+27)

  20(x+26) = (3x+8)(x -1)

In standard form, this is ...

  3x^2 -15x -528 = 0

  x^2 -5x -176 = 0 . . . . . . divide by 3

  (x -16)(x +11) = 0 . . . . . . . factor

  x = 16

__

This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.

4 0
3 years ago
PLEASE someone help its due tonight im almost done
marusya05 [52]
<h3>Answers:</h3>
  • 48 seconds
  • 3624 feet

========================================================

Explanation:

x = number of seconds that elapse

y = altitude (aka height) of the plane

The equation for plane A is

y = 20.25x+2652

because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes

The equation for plane B is

y = 75.5x

The y intercept is zero because plane B starts on the ground, aka height 0.

------------------

The system of equations is

\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.

75.5x = 20.25x+2652

75.5x-20.25x = 2652

55.25x = 2652

x = (2652)/(55.25)

x = 48

The two planes reach the same altitude at exactly <u>48 seconds</u>

That altitude is <u>3624 feet</u> because

  • y = 20.25*x + 2652 = 20.25*48+2652 = 3624
  • y = 75.5*x = 75.5*48 = 3624

Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.

7 0
2 years ago
Simplify the expression<br><br> -4+11
11111nata11111 [884]

Answer:

7

Step-by-step explanation:

-4 +11  is saying that assuming  if a person  owe 4 dollars and his friend gives him 11 dollars that he will pay back  the four dollars and still have 7 dollars left

3 0
3 years ago
I need to know the area of the polygon
vodomira [7]
The answer is A. multilpy 12×24 to get 288.subtract 24 from 32 to get 8, which is the leng th of the triangle. 12×8=96÷2=48. 48+288=336
4 0
3 years ago
Solve the following equation on the interval [0,2 \pi)<br> Cot(3x)=\sqrt{3}
Orlov [11]
Cot(3x)=3^(1/2)

cot(x)= cos(x)/sin(x)

cot(3x)= cos(3x)/sin(3x)

look at a unit circle chart

find a value for cos that has sqrt(3) in it

which one will reduce so that the cos/sin will equal sqrt(3)?

pi/6 radians

now cot(3x) implies that x is one third this value

pi/18 is the answer
4 0
3 years ago
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