Find an explicit formula for the arithmetic sequence below.<br> 9, 39/4, 21/2, 45/4, 12, 51/4,...

2(5x - 3) - 4 = x + 4 solve for x and show work

Katen [24]

Answer:

x= 14/9 = 1 5/9

Step-by-step explanation:

Use the distributive property to multiply 2 by 5x−3.

2(5x−3)−4=x+4

Subtract 4 from −6 to get −10.

10x−6−4=x+4

Subtract x from both sides

10x−10=x+4

Combine 10x and −x to get 9x.

10x−10−x=4

Add 10 to both sides.

9x−10=4

Divide both sides by 9.

x= 14/9

Please mark brainliest.

4 0

3 years ago

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Write down 4 odd digit numbers that will add up to 19

yawa3891 [41]

<h2>There is no 4 odd digits that will add up to 19.</h2>

3 0

3 years ago

Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.

Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

$A=\frac{bh_b}{2}$

$h_b=\sqrt{a^2-\frac{b^2}{4} }$

There are 2 solutions for $b$

$b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }$ ≈ $10cm$ $b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm$

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0

1 year ago

If the variance of the "number of daily parking tickets issued is 100, the standard deviation is defined as the _____________. A

Alex17521 [72]

Answer:

Square root of the variance of the "number of daily parking tickets"

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are.

Its symbol is σ (the Greek letter sigma)

The formula is easy: it is the square root of the Variance.

8 0

3 years ago

Marta said 50 + one-half m = 120 is an equation, while Maribel argued that it is an expression. Determine who is correct and exp

In-s [12.5K]

Answer:

Marta

Step-by-step explanation:

We are given that

$50+\frac{1}{2}m=120$

We have to find who is correct and explain.

We know that

Equation: It is mathematical sentence that combines numbers and variables which shows the equality of two expressions.

Example:

$x+y=3$

Expression: It is mathematical phrase that combines numbers and variables

using mathematical operators.It can be evaluated but not solved.

Example:

$x+y$

By definitions

$50+\frac{1}{2}m=120$

It is in equation form.

Therefore, Marta is correct.

3 0

2 years ago

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Find an explicit formula for the arithmetic sequence below. 9, 39/4, 21/2, 45/4, 12, 51/4,...