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Anna007 [38]
3 years ago
15

A rectangular field is twelve times as long as it is wide. If the perimeter of the field is 1690 feet, what are the dimensions o

f the field?
The width of the field is __ feet.

The length of the field is __ feet.

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

The width of the field is 65 feet.

The length of the field is 780 feet.

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Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​
Aleonysh [2.5K]

Answer:

We get \mathbf{(f-g)(x)= -x^2-3x-8}

Step-by-step explanation:

We are given:

f(x) = -3x - 3\\ g(x) = x^2 + 5

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8

So, We get \mathbf{(f-g)(x)= -x^2-3x-8}

5 0
3 years ago
Which of the following describes the graph of 2x + 4y < 16?
kherson [118]
<h3>Answer: A) Dashed line, shaded below</h3>

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

Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

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

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

6 0
3 years ago
Buchtal, a manufacturer of ceramic tiles, reports on average 2.3 job-related accidents per year. Accident categories include tri
Marianna [84]

Answereippcb.jrc.ec.europa.eu

Step-by-step explanation:

this I the wed go on it and you will get your answer

6 0
3 years ago
Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

6 0
3 years ago
Determine whether the function is odd, even, neither, or can’t be determined: g(x) = x2 + x Question options:
Anastasy [175]

I have already done this question. The correct answer is c

7 0
3 years ago
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