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Nezavi [6.7K]
3 years ago
14

Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2) (5 points)

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

-5x^2+5x+1

Step-by-step explanation:

To simplify polynomials, find the like terms which look and sound the same then combine the coefficients of each to simplify.

(2x^2-9x+3)+(-7x^2+4x-2)\\2x^2-7x^2-9x+4x+3-2\\-5x^2+5x+1

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A square has a side length of 3x3y5. What is the area of the square?​
kotykmax [81]

Answer:

9x^3 y^5

Step-by-step explanation:

Since the formula to finding area is (L*W = A), we first have to find the width.

Width: 3x^3 y^5 times 2 = 6x^3 y^5

Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5

8 0
3 years ago
The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer. The solution includes numb
Korvikt [17]

Answer:

Because a bracket is used, the solution includes 6.5

The solution includes numbers from negative infinity to 6.5

Step-by-step explanation:

we know that

If the solution for an inequality is (–∞, 6.5]

then

x\leq 6.5

The solution is all real numbers less than or equal to 6.5

so

Because a bracket is used, the solution includes 6.5

The solution includes numbers from negative infinity to 6.5


7 0
3 years ago
Read 2 more answers
-3x-y=-17 4x + 2 y equals 20
ExtremeBDS [4]
-3x - y = -17
4x + 2y = 20

multiply one part of the equation so that we can be able to use the process of elimination.

(-3x - y = -17)2
4x + 2y = 20

Now we have:

-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14

Divide -2 on both sides.

-2x = -14
/-2       /-2

x = -7.


=============================================

To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20


4x + 2y = 20

4(-7) + 2y = 20

-28 + 2y = 20

Add 28 on both sides

-28 + 2y = 20
+28          +28
---------------------
2y = 48
/2      /2

y = 24.


The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.

You may have to do this by yourself :P

Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!










4 0
3 years ago
Which equation represents this number sentence?<br> Two more than one-third of a number is 8
Alja [10]

Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

3 0
2 years ago
A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample
dezoksy [38]

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}

CI=12.2\pm 1.487535

CI=12.2\pm 1.488

CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

4 0
3 years ago
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