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3 years ago

Simplify: (x2 − 8x + 5) + (−3x2 + 5x − 9)

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

Combine like terms (those with same number of variables)

x² + (-3x²) = -x²

-8x + 5x = -3x

5 - 9 = -4

-x² - 3x - 4 is your answer

hope this helps

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2x³-8=0<br> How do I solve this problem ?

wlad13 [49]

Answer:

$x=2^{\frac{2}{3}}$

Step-by-step explanation:

1) Add 8 to both sides.

<em /> $2x^3=8$

2) Divide both sides by 2.

$x^3=\frac{8}{2}$

3) Simplify $\frac{8}{2}$ to 4.

$x^3=4$

4) Take the cube root of both sides.

$x=\sqrt[3]{4}$

5) Rewrite 4 as 2².

$x=\sqrt[3]{2^2}$

6) Use this rule: ${({x}^{a})}^{b}={x}^{ab}$ .

$x=2^{\frac{2}{3}}$

Decimal Form: 1.587401

__________________________________________

Check the answer:

$2x^3-8=0$

1) Let $x=2^\frac{2}{3}$ .

$2(2^{\frac{2}{3} })-8=0$

2) Use this rule: $(x^a)^b=x^{ab}$ .

$2\times2^{\frac{2\times3}{3} } -8=0$

3) Simplify 2 * 3 to 6.

$2\times2^{\frac{6}{3} } - 8 =0$

4) Simplify 6/3 to 2.

$2\times2^2-8=0$

5) Use Product Rule: $x^ax^b=x^{a+b}$ .

$2^3-8=0$

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0

2 years ago

What is the length of side x? If necessary, round your answer to two decimal places. 19 12

Valentin [98]

Answer:

D. 14.73

Step-by-step explanation:

According to Pythagoras,

19^2 = 12^2 + x^2

x^2 = 19^2 - 12^2

x^2 = 361 - 144

x^2 = 217

x = $\sqrt{217}$

x = 14.73

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3 years ago

If 24, x, and 6 form the first three terms of an arithmetic sequence

AveGali [126]

<h3>Answer: 15</h3>

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

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

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3 years ago

Write the equation of a line that passes through the points (-2, 3) and (-4, 2).

Paraphin [41]

The equation would be ' y = 1/2x'
The photo of my working will be attached.

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A bike store sells scooters at a 54% markup if the store sells each scooter for $69.30 then what is their non-markup price

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Answer:

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Step-by-step explanation:

1.54(x) = 69.3

Divide both sides by 1.54

x = 45

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