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kumpel [21]
3 years ago
10

Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6

)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Given that, the length of the garden is 2(x+6)feet and width is 3.5x feet.

So, length : l = 2(x+6) and width = 3.5x.

To find the fence of the garden we need to find the perimeter of the rectangle.

Formula to find the perimeter is:

p = 2l + 2b

= 2*2(x+6) + 2*3.5x

= 4(x+6) + 7x By multiplication.

= 4x + 24 + 7x By distribution property.

= 11x + 24 Combining the like terms.

So, he need to buy 11x + 24 feet fencing.

Hope this helps you!

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3. Consider the functions f(x) = x2 + 10x – 5, g(x) = 8x + 1, and h(x) = 3x – 4. List the functions from least to greatest value
weeeeeb [17]
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34

g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25

h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5

<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91

g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49

h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14

I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
4 0
3 years ago
What is 6 (5x + 2y) -3 (2x + 3y) ?
melisa1 [442]

Answer:

=24x+3y

Step-by-step explanation:

6(5x+2y)−3(2x+3y)

Distribute:

=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)

=30x+12y+−6x+−9y

Combine Like Terms:

=30x+12y+−6x+−9y

=(30x+−6x)+(12y+−9y)

=24x+3y

3 0
4 years ago
Read 2 more answers
During the past year, Zara and Ivan each read 2 books, but George read 7, Ali read 12, and Marsha read 25. The median number of
gogolik [260]

Answer:

D = 7

Step-by-step explanation:

To find the median, we must first list the amount of books each person read, and then put them in order.

2, 2, 7, 12, 25

These are already in order from smallest to greatest, which is awesome. We can then cross out one number from each side until we end up with either one or two numbers. We then find the average of those 1 or 2 numbers to find our median.

2, 3, 7, 12, 25

cross 2 and 25 out

3, 7, 12

cross 3 and 12 out

7

Our median is thus 7

7 0
3 years ago
Olve for x. 3(3x - 1) + 2(3 - x) = 0 x = 3/7 x = -3/7 x = 1/3 x = -1/3
zloy xaker [14]

<u>Answer:</u>

x = -3/7

<u>Step-by-step explanation:</u>

We are given the following equation for which we have to solve for x:

3(3x - 1) + 2(3 - x) = 0

So we will start by expanding the equation by multiplying the common factor with the brackets to get:

9x-3+6-2x=0

Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:

9x-2x=3-6\\\\7x=-3\\\\x=-\frac{3}{7}

Therefore, x = -3/7.

8 0
4 years ago
A map is laid out in the standard (x,y) coordinate plane. How long, in units, is an airplane's path on the map as the airplane f
xeze [42]

Answer:

Distance between the points A and B is 15.52 units.

Step-by-step explanation:

It has been given in the question that an airplane flies along a straight line from City A to City B.

Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).

Distance between two points A'(x, y) and B'(x', y') is represented by the formula,

d = \sqrt{(x-x')^{2}+(y-y')^{2}}

So we plug in the values of (x, y) and (x', y') in the formula,

d = \sqrt{(20-5)^{2}+(14-10)^{2}}

d = \sqrt{(15)^{2}+(4)^{2}}

d = \sqrt{225+16}

d = 15.52

Therefore, distance between the points A and B is 15.52 units.

4 0
3 years ago
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