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fenix001 [56]
4 years ago
15

PLEASE HELP!!!! Simplify the expression and find its value: (x–10)^2–x(x+80) for x=0.97

Mathematics
1 answer:
Vesna [10]4 years ago
3 0

The value of given expression is 3

<em><u>Solution:</u></em>

Given that we have to simplify the given expression and find its value when x = 0.97

<em><u>Given expression is:</u></em>

(x - 10)^2 - x(x + 80)

Multiply "x" with terms inside bracket

\rightarrow (x-10)^2-x^2-80x

Substitute x = 0.97

\rightarrow (0.97-10)^2-(0.97)^2-80(0.97)\\\\\rightarrow (-9.03)^2-0.9409 - 77.6\\\\\rightarrow 81.5409 - 0.9409 - 77.6\\\\\rightarrow 80.6 -77.6 = 3

Thus value of given expression is 3

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The slope of the line that passes through the points (-2, -3) and (8, -3) is....
andre [41]

Answer:

<h2>Zero</h2>

Step-by-step explanation:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:-3\right)\\\\m=\frac{-3-\left(-3\right)}{8-\left(-2\right)}\\\\m=0

8 0
3 years ago
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Write the polynomial equation for -1/5,-1/2,-4​
ycow [4]

Answer:

(5x+1)(2x+1)(x+4)

Step-by-step explanation:

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -1/5, x=-1/2 and x= -4. You can find the factors by finding the expression which solves for each value.

Since x = -1/5 then the factor is 5x+1.

Since x = -1/2 then the factor is 2x+1.

Since x = -4 then the factor is x+4.

So the factored form is (5x+1)(2x+1)(x+4).

5 0
3 years ago
Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Pie

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

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Four dice, each numbered in the usual way from 1 to 6, are colored white, red, green and blue respectively. After casting them a
Delvig [45]
Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
 3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
  We need to interpret the statement given above.   The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has. 
 3+4+4+6+6+5=  28 / 6
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For the variance, we will use the mean above ( 4.67 )

1. Squared the mean and subtract how many numbers are present in the set. 
   4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result 

  3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25

9+16+16+36+36+25= 138 

3. Subtract the result of #2 with #1
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4. Subtract 1 from the total numbers you have in your set

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5. Divide the result we have in #3 with the result of #4

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5 0
3 years ago
Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

5 0
3 years ago
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