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Eddi Din [679]
3 years ago
11

What is the perimeter of a rectangle?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

Answer:

Step-by-step explanation:

length = l  ;width = w

Perimeter of rectangle = sum of all sides

                                      =  l + w + l +w

                                      = 2l + 2w

                                       = 2*(l +w )

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Write an inequality to represent the situation. <br> A cheese pizza costs at least $5.
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Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin
aev [14]

Answer:

Increasing on it's domain (-\infty,\infty) because the slope is positive.

The domain and range are both all real numbers, also known as

(-\infty,\infty).

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is (-\infty,\infty).

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing.  I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever.  The range is all real numbers. In interval notation that is (-\infty,\infty).

3 0
3 years ago
Mrs. Oliver drew a box plot to represent her students’ scores on a mid-term test.
Rzqust [24]

Answer:

About 1/4 scored higher and 3/4 scored lower

Step-by-step explanation:

84 is on the right side line

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
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3 years ago
According to the graph, what is the experimental probability of selecting the letter T?
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