find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

makkiz [27]

Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 8x2 - 4x + 7 =
-1 • (3x3 + 8x2 + 4x - 7)
Checking for a perfect cube :
4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: 3x3 + 8x2 + 4x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x3 - 7
Group 2: 8x2 + 4x
Pull out from each group separately :
Group 1: (3x3 - 7) • (1)
Group 2: (2x + 1) • (4x)

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8 0

3 years ago

Help on logarithmic equation

inessss [21]

$\log _{ 2 }{ \left( 3-x \right) } +\log _{ 2 }{ 5 } =2\log _{ 3 }{ 5 } \\ \\ \log _{ 2 }{ \left( 5\left( 3-x \right) \right) } =\log _{ 3 }{ \left( { 5 }^{ 2 } \right) } \\ \\ { 2 }^{ \log _{ 3 }{ 25 } }=5\left( 3-x \right) \\ \\ { 2 }^{ \log _{ 3 }{ 25 } }=15-5x\\ \\ 5x=15-{ 2 }^{ \log _{ 3 }{ 25 } }\\ \\ x=\frac { 15 }{ 5 } -\frac { { 2 }^{ \log _{ 3 }{ 25 } } }{ 5 } \\ \\ x=3-\frac { { 2 }^{ \log _{ 3 }{ 25 } } }{ 5 }$

8 0

3 years ago

What shape is this I need help

professor190 [17]

Answer:

Pyramid/Triangle Prism

Step-by-step explanation:

pyr·a·mid

/ˈpirəˌmid/

Learn to pronounce

See definitions in:

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noun

1.

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

2.

an object, shape, or arrangement in the form of a pyramid.

"a pyramid of logs"

verbNORTH AMERICAN

5 0

3 years ago

Use the following information for the question. Male players at the high school, college and professional ranks use a regulation

Virty [35]

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

8 0

3 years ago

Which statement(s) could describe the graph of a nonproportional relationship? Select all that apply

Solnce55 [7]

Answer:

A. The positive y-intercept.

D. The y-intercept is negative.

Step-by-step explanation:

The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.

The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).

Now, the statements that can describe the graph of a non-proportional relationship are

A. The positive y-intercept.

D. The y-intercept is negative. (Answer)

6 0

3 years ago