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2 years ago

Given g(x)=-x^2+10x-3 Find g(-3)

Mathematics

1 answer:

inn [45]2 years ago

8 0

Sub g to (-3) and then solve from there using PMDAS and equation solving skills, Photomath is a fantastic resource

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[final due to glitching] find the value of x for this parallelogram

Butoxors [25]

Answer:

x = 0

Step-by-step explanation:

both angles equal each other

I hope this helps

5 0

2 years ago

PLEASE HELP ASAP ITS MATH I NEED ANSWERS FOR ALL

Paha777 [63]

Answer:

1. I (85.4)

2. T (0.854)

3. D (0.0854)

4. E (0.317)

5. P (3170)

6. E (0.0317)

7. N (9.4)

8. D (940)

9. S (0.094)

10. O (52.8)

11. N (528,000)

12. W (5.28)

13. H (3141.59)

14. O (31.4159)

15. H (0.0314159)

16. E (62.7)

17. H (0.0627)

18. A (0.000627)

19. D ($35.00)

20. S ($3500.00)

21. O ($0.35)

22. R (0.06666)

23. L (6,666)

24. U (0.6666)

25. N (70)

26. C (7,000)

27. H (0.007)

8 0

2 years ago

Find the integral <br> ∫√(9+x)/(9-x)

densk [106]

I suppose you mean

$\displaystyle \int \frac{\sqrt{9+x}}{9-x} \, dx$

Substitute y = √(9 + x). Solving for x gives x = y² - 9, so that 9 - x = 18 - y², and we have differential dx = 2y dy. Replacing everything in the integral gives

$\displaystyle \int \frac{2y^2}{18 - y^2} \, dy$

Simplify the integrand by dividing:

$\dfrac{2y^2}{18 - y^2} = -2 + \dfrac{36}{18 - y^2}$

$\implies \displaystyle \int \left(\frac{36}{18-y^2} - 2\right) \, dy$

For the first term of this new integral, we have the partial fraction expansion

$\dfrac1{18 - y^2} = \dfrac1{\sqrt{72}} \left(\dfrac1{\sqrt{18}-y} + \dfrac1{\sqrt{18}+y}\right)$

$\implies \displaystyle \frac{36}{\sqrt{72}} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

The rest is trivial:

$\displaystyle \sqrt{18} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

$= \displaystyle \sqrt{18} \left(\ln\left|\sqrt{18}+y\right| - \ln\left|\sqrt{18}-y\right|\right) - 2y + C$

$= \displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+y}{\sqrt{18}-y}\right| - 2y + C$

$= \boxed{\displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+\sqrt{9+x}}{\sqrt{18}-\sqrt{9+x}}\right| - 2\sqrt{9+x} + C}$

6 0

2 years ago

When Tom purchased a new motorcycle, he paid a 5% sales tax. The amount of sales tax he paid was $265. What was the total cost o

Kryger [21]

Net Amount (excluding tax) : $5,300.00
Tax (5.0%) : $ 265.00
Gross Amount (including tax) : $5,565.00

Math:
$5300.00 \times .05 = 265.00$
$5300.00 + 265.00 = 5565.00$

8 0

3 years ago

Suppose you are filling an Olympic-size swimming pool at a rate of 16,000 gallons per hour. The pool will hold a total of 648,00

STALIN [3.7K]

I think you would divide 16,000 gallons per hour by, 12 hours.

3 0

3 years ago