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Alexus [3.1K]
3 years ago
14

Find the area of the rectangle below multiplying its length and width (5x-4)(2x-5)

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
Use the FOIL method to multiply these terms.  Multiply the first, outside, inside, and last terms:


(5x - 4)(2x - 5)

(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)

10x² - 25x - 8x + 20

10x² - 33x + 20


The area of the rectangle should be 10x² - 33x + 20.

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Solve x - 3 < -1. Graph the solution.
LuckyWell [14K]

Answer: x < 2

Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.

Since 3 is being subtracted from <em>x</em>, we add 3

to both sides of the inequality to get <em>x < 2</em>.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

3 0
3 years ago
Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same
VashaNatasha [74]
  1. you must establish a equation system  with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
  2. now  the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
  3. of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
  4. now with the value of x , it is substitute in the equation 2)   11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒  17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
  5. the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67,  where ,the price of every lemon is $ 2,67
6 0
3 years ago
4-2(3+2) ²<br> 2.<br> Help me plz i need the help
strojnjashka [21]

Answer:

-46 is your answer.

Step-by-step explanation:

=4-2(3+2)^2

=4-2(5)^2

=4-2(5✖️5)

=4-2(25)

Opening brackets to simplify

=4-50

=-46 is your answer.

Hope it will help you :)

5 0
3 years ago
Read 2 more answers
Solve for x: −2(x + 3) = −2(x + 1) − 4.<br><br> 2<br> 3<br> All real numbers<br> No solution
Viktor [21]

Answer: All real numbers

Step-by-step explanation:

−2(x + 3) = −2(x + 1) − 4

-2x -6 = -2x -2 -4

-2x -6 = -2x -6

-2x = -2x

4 0
3 years ago
Read 2 more answers
in 1990 the population of the midwest was about 60 million during the 1990s the population of this area increased an average of
Naily [24]
Y=60million +.4x is the answer
3 0
2 years ago
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