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earnstyle [38]
3 years ago
14

Solve 2( 4x - 1) = 18

Mathematics
2 answers:
Mice21 [21]3 years ago
7 0

Answer:

<h3>x=2</h3>

Step-by-step explanation:

Simplifying

2(4x + 1) = 18

Reorder the terms:

2(1 + 4x) = 18

(1 * 2 + 4x * 2) = 18

(2 + 8x) = 18

Solving

2 + 8x = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + 8x = 18 + -2

Combine like terms: 2 + -2 = 0

0 + 8x = 18 + -2

8x = 18 + -2

Combine like terms: 18 + -2 = 16

8x = 16

Divide each side by '8'.

x = 2

Simplifying

x = 2

Ulleksa [173]3 years ago
6 0
The answer is 2.5

2 (4x - 1) = 18
8x - 2 = 18
8x = 20
x = 2.5
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HELP PLEASE! IM STUCK--
belka [17]

9514 1404 393

Answer:

  A (first choice), F (last choice)

Step-by-step explanation:

Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.

The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.

These two forms can be converted to each other like this:

  explicit formula   ⇔   recursive formula

  A(n)=A_1+d(n-1)\quad\Leftrightarrow\quad\begin{cases}a_1=A_1\\a_n=a_{n-1}+d\end{cases}

The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...

  • the first term
  • the common difference
  • the other formula for the same sequence

__

Here, the given function tells you ...

  • A₁ = 5
  • d = +4

This means the formulas that describe the same sequence are ...

  \square\ \begin{cases}a_1=5\\a_n=a_{n-1}+4\end{cases}\\\\\square\ A(n)=5+4(n-1)

_____

<em>Additional comment</em>

The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.

3 0
2 years ago
Rory's number is 0.3 larger than Lori's number, and the sum of their numbers is 13. What is ten times Lori's number multiplied b
SashulF [63]

Answer:

256032

Step-by-step explanation:

13-.03 is 12.7

12.7 x 10= 127

127 x 2016= 256032

Weird question, but I hope this helps!

3 0
2 years ago
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
Law Incorporation [45]
H=-16t^2+56t+1, the airplane is shot up from a platform 1 foot above the ground, so 1= - 16t^2+56t+1, we solve this equation
(- 16t+56)t=0, (- 16t+56)=0 or t=o, - 16t+56=0, implies t =3.5s
so the answer is C)3.5 seconds 
4 0
3 years ago
Read 2 more answers
A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a
Sphinxa [80]
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.


I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.
7 0
3 years ago
The area of a circle is 616cm find the radius​
Leokris [45]
<h3>Given :-</h3>

  • Area of Circle = 616 cm²

<h3>To Find :-</h3>

  • Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \:  \: π \:  r \: ² \: }}}}}} \\\\

<u>Putting values in the formula;</u>

\\  \sf \implies \: Area \:  =  \: \pi \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \:  =  \:\frac{22}{7}  \times  \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \: \times  \: \frac{7}{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \: \frac{ \:  \: 4312 \:  \: }{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:  \cancel{\frac{ \:  \: 4312 \:  \: }{22}  }\:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:   \: 196 \:  \: =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:r \:  ^{2}  =    \: 196 \:  \:   \: \:  \\

\\  \sf \implies \:  \:r \:   =    \sqrt{ \: 196 \:  } \\

\\  \bf \implies \:  \:Radius  \:   =    14 \: cm \\

henceforth, the Radius of a circle is 14 cm ...!!

6 0
1 year ago
Read 2 more answers
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