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4 years ago

1/5x <-3 Solve the inequality and graph the solution

Mathematics

2 answers:

11111nata11111 [884]4 years ago

6 0

Tpy6a [65]4 years ago

4 0

$\frac{1}{5}x$
Multiply by $\frac{5}{1}$
$x$

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2

ankoles [38]

Option C:

$2 g^{3}-5 g^{2}+6$

Solution:

Given expression:

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

To find which expression is equal to the given expression.

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

Expand the term $-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12$

$$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}$

Arrange the like terms together.

$$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}$

$$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}$

Factor the numerator $2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)$

$$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}$

Cancel the common factor g + 2, we get

$=2 g^{3}-5 g^{2}+6$

Hence option C is the correct answer.

8 0

3 years ago

Read 2 more answers

Cual es el valor de 10=z-6

Sever21 [200]

Answer:

z=16

Step-by-step explanation:

10=z-6

10+6=z-6+6

16=z

7 0

2 years ago

Read 2 more answers

Help please ASAP

Nat2105 [25]

41. A

42. A

43. B

44. B

45. A

46. A

47. B

48. A

49. A

50. A

51. B

52. B

6 0

3 years ago

1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

fgiga [73]

Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians

2.
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m

Hope this Helps! Have A Wonderful Day! :)

5 0

3 years ago

Mai put $4,250 in the bank for a rate of 4% simple interest per year. After

Nataly [62]

Answer:

4760

Step-by-step explanation:

Simple interest formula:

PV(1+it)

4250(1+.04*3)=4760

8 0

3 years ago