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liberstina [14]
3 years ago
12

For the rectangle provided, the length of this rectangle is 5 mm longer than its width. The perimeter of this rectangle is more

than 42 mm. Let w equal the width of the rectangle.
A) Define the length of the rectangle in terms of w (the width).

B) Use the expressions to write an inequality based on the given information.

C) Solve the inequality, clearly indicating the width of the rectangle.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
A) length= w+5
width=w
perimeter=42mm
B) 2(w+5)+2w>42
2w+10+2w>42
4w>32
w>8
The width should be greater than 8 and the length should be more than 13.

Hope this helps!
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Answer:

Q (2.5, -4)

Step-by-step explanation:

Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5

AQ = (x - 1, y + 5)

QC = (10 - x, 1 - y)

AQ:QC = 1:5

so 5*AQ = QC

5(x - 1) = (10 - x)

5(y + 5) = 1 - y

Solve them:

5x - 5 = 10 - x

6x = 15

x = 15/6 = 2.5

5y + 25 = 1 - y

6y = -24

y = -24/6 = -4

Then answer is Q (2.5, -4)

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Answer:

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Given f(x) = 3x + 4. Find F-1(7)<br><br> Please help I’ll give you brainiest answer 100points!!!!!
Musya8 [376]

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

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Is it A, B, C, or D please help! 9 x to the power of 2 minus 12 x plus 4 = A. 22 B. 49 C. 85 D. 697
Masja [62]

Answer:

B. 49

Step-by-step explanation:

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Please show me step by step how to do this
Stels [109]

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

p(n) = p_{1}+r\cdot (n-1) (1)

Where:

p_{1} - First element of the sequence.

r - Progression rate.

n - Index of the n-th element of the sequence.

p(n) - n-th element of the series.

If we know that p_{1} = 1, n = 2 and p(n) = 5, then the progression rate is:

r = \frac{p(n)-p_{1}}{n-1}

r = 4

The set of elements of the series are described by p(n) = 1 + 4\cdot (n-1).

Lastly, if we know that n = 300, then the 300th term of the sequence is:

p(n) = 1 + 4\cdot (n-1)

p(n) = 1197

And the next three terms of the sequence are:

n = 5

p(n) = 1 + 4\cdot (n-1)

p(n) = 17

n = 6

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p(n) = 21

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p(n) = 1 + 4\cdot (n-1)

p(n) = 25

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

8 0
3 years ago
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