Can someone help with this please?

Answer:

x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]

Step-by-step explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.

For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

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Let's take r=ratio of the geometric sequence

in first term, x is multiplied by  [tex]r^{0}[/tex]

First term:                   x [tex]r^{0}[/tex]

Second term: 4x+3 = x [tex]r^{1}[/tex]

Third term:     7x+3 = x [tex]r^{2}[/tex]

From the last 2 equation, we have to obtain r and x values.

Second equation - First equation:

3x = x r (r - 1)

Let's state: x different from 0, so we can simplify x, obtaining:

3 = [tex]r^{2}[/tex] - r

0 = [tex]r^{2}[/tex] - r - 3

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]  (only the positive value of r counts)

so, going to second term of the sequence:

4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3

x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3  =>  x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

hope it helps..

Answer:

|x - 13| = 5

Step-by-step explanation:

Think of absolute value as a distance. For example, |5| can be written as |5 - 0| = 5 since the distance between 5 and zero on the number line is 5. Also, |-5| which is the same as |-5 - 0| is also 5 since the distance between -5 and zero on the number line is 5.

Since you want an absolute value equation with solutions 8 and 18, think of which number is the same distance from both 8 and 18 on the number line? Find the average of 8 and 18, (8 + 18)/2 = 13. 13 is the same distance from both 8 and 18. 13 is 5 units away from both 8 and 18. Now you need an equation that is looking for the numbers x which are 5 units distance from 13.

|x - 13| = 5

Answer:

85

Step-by-step explanation:

if ur adding 5 on that side then you would have to subtract on the other.

Answer:

B.

Step-by-step explanation:

B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.

Answer:

A=0.6

Step-by-step explanation:

Answer:

0.6 is your answer

Step-by-step explanation:

the tenths place is the 1st number after the decimal which would be 5 and you would want to round that up to 6 because the number after it is iver 5 (closer to 10 than it is 1)

hope this helps:) have a good day:)

Answer:

h - g goes with 3, gh goes with 2, g squared minus h goes with 5, g - h goes with 1, g + h goes with 3, and g + h squared goes with 6. The numbers are the options.

Step-by-step explanation:

Not much to say. Just remember that squared numbers can't be negative.

Answer:

13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

w² - v + 1

w = -2

v = -8

Step 2: Evaluate

Answer:

the answer is 13

Step-by-step explanation:

Answer:

Love you

Step-by-step explanation:

Answer:

the standard deviation of the critical path is 8

Step-by-step explanation:

The computation of the standard deviation of the critical path is shown below:

As we know that

Variance = Standard deviation^2

Now the variance of the critical path is

= Variance 1 + variance 2 + variance 3 + variance 4

= 4^2 + 4^2 + 4^2 + 4^2

= 64

Now the standard deviation would be

= √64

= 8

hence, the standard deviation of the critical path is 8

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

Answer: Charles drove 84 miles

Step-by-step explanation:

(c)harles = 3 x (e)mily

e + c = 112

Since Charles is 3x Emily, we can plug in 3e instead of c

e + 3e = 112

4e = 112

e = 112/4

e = 28

Emily drove 28 miles, and Charles drove 3x that, so Charles drove

28 x 3 = 84

Answer:

The answer is 1/6y+1/6(y+12)-2

Step-by-step explanation:

I used a math calculator.

Answer:

1/3y+1/3(6-y)

Answer:

Step-by-step explanation:

From the questions;

1cm represents 200km on the map

If the length of distance between the cities is 1000km, the distnce on the map will be say x;

x cm = 1000 km

Divide both equations;

1/x = 200/1000

Cross multiply;

200x = 1 * 1000

200x = 1000

x = 1000/2000

x = 5cm

Hence the length on the map that represents the distance between the two cities is 5cm

∫f(x)dx=43x3−3x2+7x+Cf(x)=4x2−6x+7∫f(x)dx=∫(4x2−6x+7)dx=4⋅∫x2dx−6⋅∫xdx+7⋅∫1dx=4x33−6x22+7x11+C=43x3−3x2+7x+C

The amount to invest on  January 1st so that you have $1000 by June 1st of the same year is $992.54

What is monthly compounding?

Monthly compounding means that the interest is computed every month, in essence, the interest in January, March and May would be 1% divided by 12 months in a year whereas the interest in February, April, would be 3% divided 12 months making a year.

FV=PV*(1+r1)*(1+r2)*(1+r3)+(1+r4)*(1+r5)

FV=the future value June 1st of the same year=$1000

PV=the amount that needs to be invested=unknown

r1=January interest rate=1%/12=0.00083333333333

r2=February interest rate=3%/12=0.0025

$1000=PV*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)

$1000=PV*1.00752085996961

PV=$1000/1.00752085996961

PV=$992.54

Find out  more about future value on:brainly.com/question/12941397

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[tex]\displaystyle\\Answer:\ y=\frac{8}{3}x-5[/tex]

Step-by-step explanation:

(0,-5)      (3,3)

Equation of a straight line:

[tex]\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} \\\\x_1=0\ \ \ \ x_2=3\ \ \ \ y_1=-5\ \ \ \ y_2=3\\\\Hence,\\\\\frac{x-0}{3-0} =\frac{y-(-5)}{3-(-5)}\\\\\frac{x}{3} =\frac{y+5}{3+5} \\\\\frac{x}{3} =\frac{y+5}{8} \\[/tex]

Multiply both parts of the equation by 24:

[tex](8)(x)=(3)(y+5)\\8x=(3)(y)+(3)(5)\\8x=3y+15\\8x-15=3y+15-15\\8x-15=3y[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\\frac{8}{3}x-5=y[/tex]

Answer:

1/5 = 3/15

2/3 = 10/15

When all Added up

= 13/15

Step-by-step explanation:

So our LCD here is 15.

So in order to go from 5 to 15, we multiply by 3, and In order to go from 3 to 15, we multiply by 5. What we do to the denominator we also do to the numerator.

So,

[tex]\frac{1}{5} x \frac{3}{3} = \frac{3}{15}[/tex]

And,

[tex]\frac{2}{3} x \frac{5}{5} = \frac{10}{15}[/tex]

So there you go, multiply for what you need to get to the LCD, and what is done to the numerator is also done to the denominator. Enjoy

*If this Helped I'd Also Appreciate 5* and a ♥ Thanks!*

Answer:

A(-8, 2)

Step-by-step explanation

Answer: A

Step-by-step explanation: (-8, 2)

Answer:

width = 64 inches

lenght = 76 inches

Step-by-step explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

Answer:

13 (c)

Step-by-step explanation:

Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think

Answer:

13

Step-by-step explanation:

Answer:

-2 (x -3 ) = 16 (use the distributive property)

-2x +6 = 16 (subtract 6 from both sides)

-2x = 10 (divide both side by -2)

x= -5

Answer:

-10

Step-by-step explanation:

Because it's counting down by 4s so the mid would be 10 between the -12 and -8

Answer:

0.25

Step-by-step explanation:

ez

Answer:

.25

Step-by-step explanation:

Answer: B=5

Step-by-step explanation:

if you plug 5 in for B, the equations equal to each other

6(5)-2=5(5)+3

30-2=25+3

28=28

NOW plug in each number to show the work (even though we already know it’s 5)

Answer:

Step-by-step explanation:

because we are weaker

Hello! Your answer will be the second provided answer.

See attachment below for explanation...