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3 years ago

Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

$(5x^3-3x^2+5)+(-2x^3+6x^2-5)\\\\=(5x^3-2x^3)+(-3x^2+6x^2)+(5-5)\\\\=\boxed{3x^3+3x^2}$

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If point A is located at (0,-8) and B is located at (4,-5) what is the distance between them

navik [9.2K]

if point A is located at (0,-8) and B is located at (4,-5)

We use distance formula

$d = \sqrt{(x_2-x_1)^2 +(y_2-y_2)^2}$

(0,-8) is (x1, y1) and (4,-5) is (x2,y2)

x1 = 0 , y1= -8 , x2= 4 and y2= -5

$d = \sqrt{(x_2-x_1)^2 +(y_2-y_2)^2}$

$d = \sqrt{(4-0)^2 +(-5-(-8))^2}$

$d = \sqrt{(4)^2 +(3)^2}$

$d = \sqrt{16+9}$

$d = \sqrt{25}$

so d= 5

The distance between 2 points is 5

4 0

3 years ago

Read 2 more answers

Eceived at each shelter every month. This box-and-whisker plot shows the results. 400 600 800 1,000 Monthly food donations What

Tom [10]

Answer:

The median of the given data is 700.

Step-by-step explanation:

We are given the following data in the question:

400, 600, 800, 1000

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Median =

$\dfrac{2^{nd}+3^{rd}}{2} = \dfrac{600+800}{2} = 700$

Thus, the median of the given data is 700.

4 0

3 years ago

Jessica makes $1500 a month at her job. If she saves 20% of it each month, how much savings will she have after one year? Rememb

vodomira [7]

3600$

Explanation:

20% x 1500 = 300

300 x 12 = 3600

Hope it’s right
Best luck with your studying

8 0

2 years ago

Read 2 more answers

Martin finds a shirt on sale for 10% off at a department store. The original price was $20. Martin must also pay 8.5% sales tax.

IRINA_888 [86]

Answer:

The shirt is originally$20 dollars, after the taxes are applied the shirt costs $21.70

Step-by-step explanation:

The question says it cost $20.

20×(8.5÷100)

20×0.0851= 1.7

20+1.7

21.7

4 0

3 years ago

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PR and os are diameters of circle T. What is the

____ [38]

Answer:

100degrees

Step-by-step explanation:

Find the diagram attached

From the diagram

<PQT =<TRS = 40

Since the triangle STR is isosceles, here,

<TSR =<TRS = 40

Also the sum of angle in a triangle is 189, hence:

Arc SR+<TSR +<TRS = 18₩

ArcSR +40+40=180

ArcSR +80=180

ArcSR = 180-80

ArcSR = 100degrees

Hence the measure of SR is 100degrees

8 0

3 years ago