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Aleks04 [339]
3 years ago
9

A manufacturer makes rectangular blankets in several styles and sizes. The outline of a popular blanket in size A is shown below

(Height- 2x-3cm, Width- 3x+7cm)
A. Write a polynomial expression in simplified form, that represents the perimeter of the blanket.
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

(10x + 8) is the polynomial expression for the perimeter of the blanket.

Step-by-step explanation:

The height and width of the rectangular blanket are (2x - 3) cm and (3x + 7) cm respectively.

Now, the perimeter of a rectangle having height h and width w is given by  

P = 2h + 2w

⇒ P = 2(2x - 3) + 2(3x + 7)

⇒ P = 4x - 6 + 6x + 14

⇒ P = 10x + 8.

So, this is the polynomial expression for the perimeter of the blanket. (Answer)

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Is it true that a line with slope 1 always passes through the origin? Explain your reasoning.
elena55 [62]

Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

However, y = x + 1 is not the same as y = x.

hope this helps.! let me know if it's in any way confusing..

I'd be happy to help!

5 0
3 years ago
What are the zeros of the function?<br><br> h(x)=x3−2x2−3x<br><br> Select each correct answer.
Nat2105 [25]
Hello again!

It looks like you need a lot of help today. I'm glad I am able to help you!

h(x) = x³ - 2x² - 3x

The question you need to ask yourself is "How do you find the zeros of a function.

Answer: To find the zeros of a function, just set the function equal to zero then solve for x

x³ - 2x² - 3x = 0

Factor the left sides

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

Now we can set factors equal to 0

x = 0 or x + 1 = 0 or x - 3 = 0

x = 0 or x = 0 - 1 or x = 0 + 3

x = 0 or x = -1 or x = 3

Thus,

The zeros of the function are: x = 0 or x = -1 or x = 3

As always, I am glad to help students like you!
8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is the value of x?
MA_775_DIABLO [31]

Answer:   \bold{C)\ -\dfrac{1}{2}}

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

.\qquad \dfrac{x+2}{15}=\dfrac{x+1}{5}\\\\\\\rightarrow (15)\dfrac{x+2}{15}=\dfrac{x+1}{5}(15)\\\\\\\rightarrow x+2=3(x+1)\\\\\rightarrow x+2=3x+3\\\\\rightarrow \qquad 2=2x+3\\\\\rightarrow \qquad -1=2x\\\\\rightarrow \qquad -\dfrac{1}{2}=x

8 0
3 years ago
Good afternoon!
Vladimir [108]

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

8 0
2 years ago
Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation
VikaD [51]

Answer:

The number is 35.

35 divided by 7 is 5, and 5 plus 7 is 12.

:)

3 0
2 years ago
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