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3 years ago

subtract: (−2x2 + 9x − 3) − (7x2 − 4x + 2) −9x2 − 13x + 5 −9x2 + 13x − 5 5x2 − 13x − 1 5x2 + 5x − 5

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

Answer:

17x² - 5x + 11 = 0

Step-by-step explanation:

To add or subtract a polynomial do the operation with like - terms.

i.e., Two terms of x² gets added or subtracted. Similarly terms of x and constant.

Here, we have to subtract:

$2x^2 + 9x - 3 - 7x^2 + 4x - 8 - 9x^2 - 13x + 5 - 9x^2 + 13x - 5 + 5x^2 - 13x - 1 + 5x^2 + 5x - 5$

Club all the like terms for easier simplification. We get:

$(-2 - 7 - 9 - 9 + 5 + 5)x^2 + (9 + 4 - 13 + 13 - 13 + 5)x + (-3 - 2 + 5 - 5 - 1)$

$\implies - 17 x^2 + 5x - 11 = 0$

Multiplying by -1 throughout:

17x² - 5x + 11 = 0 is the answer.

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Need help ASAP! Will give brainliest for decent answer :)

Lena [83]

So sorry I replied so late but I'll leave the answer here just in case.

Answer:

7. Domain: [0,30] Range: [0,7]

8. f(20) = 4.67 or 4 2/3; After 20 seconds, the squirrel is 4.67 meters away from the camera.

9. x = 1.25 and x = 21.43; The quirrel is 4 meters away from the camera at 1.25 seconds and 21.43 seconds.

10. At 2.5 and 19.29 seconds

11. 10 seconds

12. The squirrel went to the back of the camera, away from its line of view.

Step-by-step explanation:

7. The line is between 0 and 30 on the x-axis and is between 0 and 7 on the y-axis.

8. The slope of the third part of the line is not a whole number, so you need to calculate it. The rise is -7 meters and run is 15 seconds, so the slope is -7/15. Plugin -7/15 into the slope-intercept form (y = mx+b) and the equation is f(x) = -7/15 x+14. Plugin x=20 into the equation:

f(20) = -7/15(20)+14

f(20) = -9.33+14

f(20) = 4.67

9. The first slope of the graph will also need to be calculated. Rise is 7-3 (4) and the run is 5. Slope = rise/run = 4/5 = 0.8. Plugin the slope into y = mx+b with the y-intercept, and the equation is f(x) = 0.8x+3. Replace f(x) with 4 and solve the equation.

4 = 0.8x+3

1 = 0.8x

x = 1.25

There is another x value that matches with f(x) = 4 in the third part of the graph, so we'll use the slope-intercept form for the previous question for this one.

4 = -7/15 x+14

-10 = -7/15 x

x = 21.43

10. The squirel is 5 meters away from the camera twice, so we'll be using the same equations for the previous question.

5 = 0.8x+3

2 = 0.8x

x = 2.5

5 = -7/15 x+14

-9 = -7/15 x

x = 19.29

11. The squirrel is 7 meters away between 5 and 15 seconds. 15-5 = 10.

12. The squirrel most likely went somehwere where the camera can't see it, and it's probably the back of it.

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3 years ago

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Brut [27]

6 value set = median of 5

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5
5.
5. ⊃ 10. 10/2 =5
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3 years ago

Express each ratio as a fraction in simplest form. A 26:169 B 36 to 78

Nimfa-mama [501]

Ratio A is 26/169, and when simplified it is 2/13.

Ratio B is 36/78, and when simplified it is 6/13.

Hope this helped!

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3 years ago

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Gwar [14]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

y = 2(x^2 -4x) +3

y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

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3 years ago

Is it possible for one ray to be shorter in distance than another ray

german

Answer:

please mark my answer brainliest

Step-by-step explanation:

no...because it extends to infinity from one side

4 0

4 years ago