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AleksandrR [38]
3 years ago
14

A rectangular garden has length and width as given by the expressions below.

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

8 - 42x - 56y - 12xy

Step-by-step explanation:

Length = 4 - 7(3x + 4y)

= 4 - 21x - 28y

Width = 3x(-2y)

= -6xy

Perimeter of the rectangle = 2(length + width)

= 2{(4 - 21x - 28y) + ( -6xy)}

= 2(4 - 21x - 28y - 6xy)

= 8 - 42x - 56y - 12xy

Perimeter of the rectangle = 8 - 42x - 56y - 12xy

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The length of a string is L inches. Samantha cuts it into two unequal pieces such that the length of the small piece is 35% of L
skelet666 [1.2K]

Answer:

The shorter piece   x  =  8.4 in

The longer one    y  =  15.6 in

Step-by-step explanation:

If we cut  a string length  L  in to unequal  pieces we get two pieces

first one with length  x  and the other one with length  y

Let call  x  the smaller piece,  then   y = L  -  x will be the longer one

If   x  =  35 %    then

x  =  0,35* L     and

y = L -  x  =  L - 0,35*L      ⇒  y  =  0,65 L     ⇒ y  =  0.65*24

Now if L  =  24  in

x  =  0,35*24          ⇒               x = 8.4 in

and

L  -  x  =  0.65*L      ⇒       L - x  =  0.65*24     y  =  L  -  x  =  15.6 in

as way of verification you can add the length of the two pieces and find:

8.4  +  15.6  = 24 in

4 0
3 years ago
What does the transformation f(x)↦f(-x) do to the graph of f(x)?
Vlad1618 [11]
The function will simply get reflected about the y-axis.
Let's approach this through what we know. Since we know that the x values are mirrored, we know that the points in Quadrant I and IV will be reflected over to the negative side, Quadrants II and III, because they simply change in signs.

However, we also know that the function y-values do not change. This is because whatever the x values are don't change the range and y-values of an even function.

To be more specific, if we have an even function, we are most likely dealing with quadratics or variants/transformations of the quadratic function.

If we were to have 2, and -2, and we wanted to plug them into the equation:
y = x^{2} + C, the signs do not change the y-values of the function.
Hence, we know that it ONLY gets reflected across the y-axis.
6 0
3 years ago
You randomly survey students about year-round school. The results are shown in the graph.
Sergio [31]

Answer:

27% and 37%

Step-by-step explanation:

Percentage of students who oppose the year-round school = 68%

Percentage of students who support the year-round school = 32%

Margin of error = ± 5%

We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.

Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%

This thing can be expressed as absolute valued equation as:

| x - 32 | = 5

Here x represents the least and greatest percentages.

Expanding the equation, we can write:

x - 32 = -5                or                x - 32 = 5

x = -5 + 32                or               x = 5 + 32

x = 27%                                       x= 37%

This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.

6 0
3 years ago
The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a win
Amanda [17]

Answer:

the answer is B)13800

Step-by-step explanation:

I took the test

5 0
3 years ago
Read 2 more answers
You have a 6 sided number cube, numbered 1 to 6. Predict how many times out of 240 rolls of the cube, you might expect to land o
tangare [24]

Answer:

Step-by-step explanation:

3 0
4 years ago
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