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Elina [12.6K]
3 years ago
11

The functions and g are defined as follows.

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer:

- 27 and 7

Step-by-step explanation:

To obtain f(- 6) substitute x = - 6 into f(x), that is

f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27

To obtain g(- 3) substitute x = - 3 into g(x), that is

g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7

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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
find the area and perimeter of a rectangle with a width of 2 1/3inch and a length of 5 2/5inches. show your work please.
aleksandrvk [35]
Area: If you multiply 2 1/3 by 5 2/5, you get an answer of about: 12.6, which means the area is about: 12.6in. squared.
Perimeter: If you add 2 1/3+ 2 1/3+ 5 2/5+ 5 2/5 you get an answer of about: 15.47. So, the perimeter is about 15.47in.

Note: If you aren't allowed to use a calculator on this test, you should probably multiply the numbers yourself so you get show the work and get the answer in a fraction, which is probably what they want. If you are allowed to use calculators, all the information you need is right here.
4 0
2 years ago
Read 2 more answers
Lower bound is 18, upper bound is 28. what is the point estimate of the population mean
hichkok12 [17]
23 is the mean estimate
7 0
3 years ago
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Mr. & Mrs. Thompson drove 300 miles in October. They drove 2 times as many miles in December as they did in October. They dr
Marina86 [1]

Answer:1200 miles

Step-by-step explanation:

Given

Mr. and Mrs. Thompson drove 300\ miles in October

They drove 2  times as many miles in December

so they drove 2\times 300=600\ miles in December

In November they drove 2 times as many as in december

=2\times 600=1200\ miles  

So they drive 1200 miles in November

7 0
3 years ago
Solve: 12x^2+5x-4=12^2x+6
Orlov [11]
Subtract the 12x^2 first.
5x - 4 = 6
Add the four
5x = 10
Then divide the 5 from both sides
X = 2
4 0
3 years ago
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