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Vesna [10]
3 years ago
6

Hey can you please help me posted picture of question

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
Hello there!

For these, you can only add the numbers with the same index. For example, you can add x² and 2x², but not x³ and x².

So here, you can just look based on their indexes:

There are two with an index of 4:

4x^{4} and x^{4}.

You can add those, and you get 5x^{4}.

There's one with an index of 3: x³. So there's an +x³ in the final equation.

For those with an index of 2, there are two: x² and -x². Those two cancel out just to equal 0.

For just x, there's x, and -x. Those two cancel out as well.

There's the final -1.

So you're looking for:

5x^{4} + x³ - 1, or C.
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The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle​
AVprozaik [17]

Answer:

  • Length of rectangle is 31 yards and Width is 24 yards.

Given:

  • The length of a rectangle is 7 more than the width.
  • The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

\\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x - 744 = 0 \\ \\ \\  \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x = 24 \:  or \:   - 31 \\ \\

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

  • Width of rectangle = x = 24 yards
  • Length of the rectangle = x + 7 = 31 yards

\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

8 0
2 years ago
Ryan needs $100 for a new bike. He already has $28 and will make $12 per day working for his grandfather. Write an inequality to
bezimeni [28]

Answer:

100 ≥ 12x + 28

Step-by-step explanation:

He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.

3 0
3 years ago
Suppose angles A and B are complementary angles and m∠A = (x-5)° and m∠B = (2x+20)° Solve for X and then find m∠A and m∠B
MariettaO [177]

The angles are x =25, angle A = 20 and B = 70

<h3>How to solve for the angles?</h3>

The given parameters are:

A = x - 5

B = 2x + 20

Both angles are complementary angles.

This means that:

x - 5 + 2x + 20 = 90

Evaluate the like terms

3x = 75

Divide both sides by 3

x = 25

Substitute x = 25 in A = x - 5 and B = 2x + 20

A = 25 - 5 = 20

B = 2 * 25 + 20 = 70

Hence, the angles are x =25, angle A = 20 and B = 70

Read more about complementary angles at:

brainly.com/question/98924

#SPJ1

3 0
2 years ago
The price of a shirt is 18.50, but you have a coupon that lowers the price by 20%. What is the price of the shirt after using th
AURORKA [14]
The new price of the shirt is $14.8
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3 years ago
Read 2 more answers
What option is correct: A or B
Yuliya22 [10]
The image isn’t visible. Would recommend reposting
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3 years ago
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